1:I[411855,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"HTTPAccessFallbackBoundary"] f:I[253348,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1tw134x18eynd.js","/_next/static/immutable/chunks/1y0yg88od_lid.js"],"default"] :HL["/_next/static/immutable/chunks/0eq2uwub2-2lt.css","style"] :HL["/_next/static/immutable/chunks/1kcvv4guurxwh.css","style"] :HL["/_next/static/immutable/chunks/2ojxyc8kui2ci.css","style"] :HL["/_next/static/immutable/chunks/16ecsvtuc9a9i.css","style"] :HL["/_next/static/immutable/chunks/3o9c7gvideo11.css","style"] :HL["/_next/static/immutable/chunks/3ek3mqtjybqx8.css","style"] :HL["/_next/static/immutable/chunks/32h2yv50mt___.css","style"] :HL["/_next/static/immutable/chunks/0xlmktq4kl70g.css","style"] :HL["/_next/static/immutable/chunks/33yvqtdwhy513.css","style"] :HL["/_next/static/immutable/media/03bda585a99c6450.p.0glcd8n2pdab0.woff2","font",{"crossOrigin":"","type":"font/woff2"}] :HL["/_next/static/immutable/media/dc6d2a64e9dbf3bc-s.p.3yrvj83qsyboh.woff2","font",{"crossOrigin":"","type":"font/woff2"}] :HL["/_next/static/immutable/media/dc6d2a64e9dbf3bc.p.3yrvj83qsyboh.woff2","font",{"crossOrigin":"","type":"font/woff2"}] :HL["/_next/static/immutable/media/e8f2fbee2754df70-s.p.1gavkj72q9u43.woff2","font",{"crossOrigin":"","type":"font/woff2"}] :HL["/_next/static/immutable/chunks/36vc5xdsnnv-k.css","style"] :HL["/_next/static/immutable/chunks/2cajy6-1555iq.css","style"] a:X 0:{"P":null,"c":["","course","AASL","2d-geometry","problems"],"q":"","i":false,"f":[[["",{"children":["(course)",{"children":["course",{"children":[["subject","AASL","d",["studio"]],{"children":[["target","2d-geometry","d",["assignments","calculator","calendar","classroom","edit","formula-booklet","learn","map","modules","paper-3","practice-tests","prediction","progress","questionbank","students","study-sets","worksheet"]],{"children":["problems",{"children":["__PAGE__",{},"$undefined","$undefined",4096]},"$undefined","$undefined",4100]},"$undefined","$undefined",4108]},"$undefined","$undefined",4104]},"$undefined","$undefined",4104]},"$undefined","$undefined",4104],"auth":["(__SLOT__)",{"children":[["catchAll","course/AASL/2d-geometry/problems","c",["(.)login","(.)signup","about","admin","api","blog","bouncer","calc-keys-preview","calculator","calculator-booklet","checkout","contact","course","demo-login","diagrams","email-link","flow","forgot-password","join","kamino","live","login","master","modules","onboard","pdf","pilot","privacy","privacy-settings","problems","qr","reddit","screenshot","signup","snippets","start","subprocessors","teach","team","terms","upgrade","upload","worksheets"]],{"children":["__PAGE__",{},"$undefined","$undefined",4096]},"$undefined","$undefined",4096]},"$undefined","$undefined",4096]},"$undefined","$undefined",4120],[["$","$L1","c",{"notFound":[[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/0eq2uwub2-2lt.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","1",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/1kcvv4guurxwh.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","2",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ojxyc8kui2ci.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","3",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/16ecsvtuc9a9i.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","4",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/3o9c7gvideo11.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","5",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/3ek3mqtjybqx8.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","script","script-0",{"src":"/_next/static/immutable/chunks/18z7hbezgakd8.js","async":true,"nonce":"$undefined"}],["$","script","script-1",{"src":"/_next/static/immutable/chunks/3s1f7foqpdvup.js","async":true,"nonce":"$undefined"}],["$","script","script-2",{"src":"/_next/static/immutable/chunks/2mkazo296h-fw.js","async":true,"nonce":"$undefined"}],["$","script","script-3",{"src":"/_next/static/immutable/chunks/3kinzrgjz1nll.js","async":true,"nonce":"$undefined"}],["$","script","script-4",{"src":"/_next/static/immutable/chunks/26vmqzkfqtibo.js","async":true,"nonce":"$undefined"}],["$","script","script-5",{"src":"/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","async":true,"nonce":"$undefined"}],["$","script","script-6",{"src":"/_next/static/immutable/chunks/3av6zvu370icl.js","async":true,"nonce":"$undefined"}],["$","script","script-7",{"src":"/_next/static/immutable/chunks/3et9qdvbyi-6u.js","async":true,"nonce":"$undefined"}],["$","script","script-8",{"src":"/_next/static/immutable/chunks/424mjsijt8lk6.js","async":true,"nonce":"$undefined"}],["$","script","script-9",{"src":"/_next/static/immutable/chunks/1qgctqfwjj94j.js","async":true,"nonce":"$undefined"}],["$","script","script-10",{"src":"/_next/static/immutable/chunks/36omjr-s6xpax.js","async":true,"nonce":"$undefined"}],["$","script","script-11",{"src":"/_next/static/immutable/chunks/39ps9az44hvg-.js","async":true,"nonce":"$undefined"}],["$","script","script-12",{"src":"/_next/static/immutable/chunks/1dr-zgur0-w1_.js","async":true,"nonce":"$undefined"}],["$","script","script-13",{"src":"/_next/static/immutable/chunks/0knlg885uauhx.js","async":true,"nonce":"$undefined"}],["$","script","script-14",{"src":"/_next/static/immutable/chunks/2r4iv242b51v2.js","async":true,"nonce":"$undefined"}],["$","script","script-15",{"src":"/_next/static/immutable/chunks/1o6d8gkxacyr3.js","async":true,"nonce":"$undefined"}],["$","script","script-16",{"src":"/_next/static/immutable/chunks/1oaqlgeq13km-.js","async":true,"nonce":"$undefined"}],["$","script","script-17",{"src":"/_next/static/immutable/chunks/3it7cbupuus2e.js","async":true,"nonce":"$undefined"}],["$","script","script-18",{"src":"/_next/static/immutable/chunks/2bo-0yc5izpx4.js","async":true,"nonce":"$undefined"}],["$","script","script-19",{"src":"/_next/static/immutable/chunks/27vysu0t21548.js","async":true,"nonce":"$undefined"}],["$","script","script-20",{"src":"/_next/static/immutable/chunks/1ub57e03r3f4t.js","async":true,"nonce":"$undefined"}]],["$","html",null,{"lang":"en","suppressHydrationWarning":true,"data-mantine-color-scheme":"light","children":"$L2"}]],"children":["$0:f:0:1:0:props:notFound:0","$L3"]}],{"children":["$L4",{"children":["$L5",{"children":["$L6",{"children":["$L7",{"children":["$L8",{"children":["$L9",{},null,false,null]},null,false,"$a"]},null,false,"$a"]},null,false,null]},null,false,null]},null,false,null],"auth":["$Lb",{"children":["$Lc",{"children":["$Ld",{},null,false,null]},null,false,"$a"]},null,false,"$a"]},null,false,null],"$Le",false]],"m":"$undefined","G":["$f",["$L10","$L11","$L12","$L13","$L14","$L15","$L16"]],"S":false,"h":null,"r":"$undefined","s":"$undefined","a":"$undefined","l":"$undefined","p":"$undefined","d":"$undefined"} 17:I[173709,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"NuqsAdapter"] 18:I[56913,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"MantineThemeProvider"] 19:I[56913,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"CSPostHogProvider"] 1a:I[857342,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"ModalsProvider"] 1b:I[647384,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"modals"] 1c:I[56913,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"GeneralUtils"] 1d:I[187233,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"Notifications"] 1e:I[522350,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/3k4-u0vy6-lpc.js"],"Image"] 1f:I[275371,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/3k4-u0vy6-lpc.js"],""] 20:I[579142,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"Analytics"] 21:I[765452,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"default"] 22:I[719959,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"default"] 23:"$Sreact.fragment" 25:I[571959,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"ClientSegmentRoot"] 26:I[302303,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js"],"default"] 27:I[574041,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/1iww6sviflnpu.js","/_next/static/immutable/chunks/1y0yg88od_lid.js"],"default"] 29:I[765452,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"LoadingBoundaryProvider"] 2a:I[992636,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js","/_next/static/immutable/chunks/1jea8lpck-stq.js"],"default"] 2b:I[494995,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js","/_next/static/immutable/chunks/3-m1lv07mgkrh.js","/_next/static/immutable/chunks/1y0yg88od_lid.js"],"default"] 2c:I[115668,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"Box"] 2d:I[285206,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js","/_next/static/immutable/chunks/3vsjwkqrnr6o-.js","/_next/static/immutable/chunks/229ef4-jnkvsc.js","/_next/static/immutable/chunks/3gl_dncckb9v9.js","/_next/static/immutable/chunks/32ab1-u3cb_qs.js","/_next/static/immutable/chunks/36gqoq5qmb8-2.js","/_next/static/immutable/chunks/0rbev1mc20ba0.js","/_next/static/immutable/chunks/150hbuden79rn.js","/_next/static/immutable/chunks/0ha648fxq171z.js","/_next/static/immutable/chunks/05t9iayep0a2s.js","/_next/static/immutable/chunks/1w0ugn8gsprga.js","/_next/static/immutable/chunks/3nl9fi3307rom.js","/_next/static/immutable/chunks/21d_o6bnt91kt.js","/_next/static/immutable/chunks/0jq5dbwywr15z.js","/_next/static/immutable/chunks/1ihptjp908yfr.js","/_next/static/immutable/chunks/2ietcr953ev1h.js","/_next/static/immutable/chunks/00a4i-uw-xyz3.js","/_next/static/immutable/chunks/2an6gvakdw6vb.js","/_next/static/immutable/chunks/2o12m6vfw18pf.js","/_next/static/immutable/chunks/1yi481-l2hepi.js","/_next/static/immutable/chunks/33rbfp-mj0pdm.js","/_next/static/immutable/chunks/41riv7bl7yh9z.js"],"Container"] 2e:I[579005,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"Group"] 2f:I[425147,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"Skeleton"] 30:I[616299,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"Paper"] 31:I[938381,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"Stack"] 33:I[849375,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"OutletBoundary"] 34:"$Sreact.suspense" 36:I[146586,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/3kyu0pw6qede6.js","/_next/static/immutable/chunks/1y0yg88od_lid.js"],"default"] 37:I[849375,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"ViewportBoundary"] 39:I[849375,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"MetadataBoundary"] :HL["/_next/static/immutable/chunks/2ys4rianfzaw1.css","style"] 2:["$","$L17",null,{"children":["$","body",null,{"suppressHydrationWarning":true,"children":["$","$L18",null,{"children":[["$","$L19",null,{"children":["$","$L1a",null,{"modals":"$1b","children":[["$","$L1c",null,{}],["$","$L1d",null,{}],"$undefined",[[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ys4rianfzaw1.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}]],[["$","main",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__root","children":["$","section",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__card","children":["$","div",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__content","children":[["$","$L1e",null,{"src":"/dawnbridge-wordmark.svg","alt":"Dawnbridge","width":188,"height":46,"priority":true,"className":"DawnbridgeUtilityShell-module__JpDsgG__wordmark"}],["$","header",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__header","children":[["$","p",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__eyebrow","children":"404"}],["$","h1",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__title","children":"This page moved"}],["$","p",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__description","children":"The link may be old, or the page may no longer be available."}]]}],"$undefined",["$","div",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__actions","children":[["$","$L1f",null,{"href":"/course","className":"DawnbridgeUtilityShell-module__JpDsgG__primaryAction","children":"Go to your course"}],["$","$L1f",null,{"href":"/","className":"DawnbridgeUtilityShell-module__JpDsgG__secondaryAction","children":"Back to home"}]]}]]}]}]}],"$2:props:children:props:children:props:children:0:props:children:props:children:3:0"]]]}]}],["$","$L20",null,{}]]}]}]}] 3:["$","html",null,{"lang":"en","suppressHydrationWarning":true,"data-mantine-color-scheme":"light","children":["$","$L17",null,{"children":["$","body",null,{"suppressHydrationWarning":true,"children":["$","$L18",null,{"children":[["$","$L19",null,{"children":["$","$L1a",null,{"modals":"$1b","children":[["$","$L1c",null,{}],["$","$L1d",null,{}],["$","$L21",null,{"parallelRouterKey":"auth","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}],["$","$L21",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$2:props:children:props:children:props:children:0:props:children:props:children:3:1","forbidden":"$undefined","unauthorized":"$undefined"}]]}]}],["$","$L20",null,{}]]}]}]}]}] 4:["$","$23","c",{"children":[[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/32h2yv50mt___.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","1",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/0xlmktq4kl70g.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","link","2",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/33yvqtdwhy513.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","script","script-0",{"src":"/_next/static/immutable/chunks/1-evclxk3rbx-.js","async":true,"nonce":"$undefined"}]],"$L24"]}] 5:["$","$23","c",{"children":[[["$","script","script-0",{"src":"/_next/static/immutable/chunks/19twkhdo912cr.js","async":true,"nonce":"$undefined"}]],["$","$L25",null,{"Component":"$26","slots":{"children":["$","$L21",null,{"parallelRouterKey":"children","error":"$27","errorStyles":[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ys4rianfzaw1.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}]],"errorScripts":[["$","script","script-0",{"src":"/_next/static/immutable/chunks/1iww6sviflnpu.js","async":true}],["$","script","script-1",{"src":"/_next/static/immutable/chunks/1y0yg88od_lid.js","async":true}]],"template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]},"serverProvidedParams":{"params":{},"promises":null}}]]}] 6:["$","$23","c",{"children":[[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/36vc5xdsnnv-k.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","script","script-0",{"src":"/_next/static/immutable/chunks/0lltiylvuv62v.js","async":true,"nonce":"$undefined"}],["$","script","script-1",{"src":"/_next/static/immutable/chunks/2r657mtk43wxk.js","async":true,"nonce":"$undefined"}],["$","script","script-2",{"src":"/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","async":true,"nonce":"$undefined"}],["$","script","script-3",{"src":"/_next/static/immutable/chunks/0jskn-qk2_797.js","async":true,"nonce":"$undefined"}],["$","script","script-4",{"src":"/_next/static/immutable/chunks/29u3013r8iuiy.js","async":true,"nonce":"$undefined"}],["$","script","script-5",{"src":"/_next/static/immutable/chunks/3s5tdxs448l-j.js","async":true,"nonce":"$undefined"}],["$","script","script-6",{"src":"/_next/static/immutable/chunks/402vclztj-n8x.js","async":true,"nonce":"$undefined"}],["$","script","script-7",{"src":"/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","async":true,"nonce":"$undefined"}],["$","script","script-8",{"src":"/_next/static/immutable/chunks/1p35tho0xv6f4.js","async":true,"nonce":"$undefined"}],["$","script","script-9",{"src":"/_next/static/immutable/chunks/1oqo8q_chzpnd.js","async":true,"nonce":"$undefined"}],["$","script","script-10",{"src":"/_next/static/immutable/chunks/32je84c6xizbv.js","async":true,"nonce":"$undefined"}],["$","script","script-11",{"src":"/_next/static/immutable/chunks/2r74poshej4cn.js","async":true,"nonce":"$undefined"}]],"$L28"]}] 7:["$","$L29",null,{"loading":[["$","$L2a","l",{}],[],[["$","script","script-0",{"src":"/_next/static/immutable/chunks/1jea8lpck-stq.js","async":true}]]],"children":["$","$23","c",{"children":[null,["$","$L21",null,{"parallelRouterKey":"children","error":"$2b","errorStyles":[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ys4rianfzaw1.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}]],"errorScripts":[["$","script","script-0",{"src":"/_next/static/immutable/chunks/3-m1lv07mgkrh.js","async":true}],["$","script","script-1",{"src":"/_next/static/immutable/chunks/1y0yg88od_lid.js","async":true}]],"template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]]}]}] 8:["$","$L29",null,{"loading":[["$","$L2c","l",{"aria-label":"Loading practice problem","role":"status","children":[["$","div",null,{"className":"bg-[var(--dawn-paper)]","children":["$","$L2d",null,{"size":"md","pt":"md","pb":"xs","children":["$","$L2e",null,{"gap":"xs","children":[["$","$L2f",null,{"height":14,"width":82}],["$","$L2f",null,{"height":14,"width":12}],["$","$L2f",null,{"height":14,"width":132}]]}]}]}],["$","div",null,{"className":"min-h-[calc(100dvh-16px)] w-full flex-1 bg-[var(--dawn-band)]","children":[["$","div",null,{"className":"z-40 mb-2 w-full border-b border-[var(--dawn-border)] bg-[var(--dawn-paper)] p-1 md:sticky md:p-2 lg:rounded-t-lg","children":["$","$L2d",null,{"size":"md","children":["$","div",null,{"className":"mt-1 flex w-full flex-wrap items-center justify-center gap-1 sm:justify-between md:mt-0 md:gap-3","children":[["$","$L2e",null,{"gap":"xs","wrap":"nowrap","className":"flex-1","children":[["$","$L2f",null,{"height":30,"width":112,"radius":"md"}],["$","$L2f",null,{"height":24,"width":1,"radius":0}],["$","$L2f",null,{"height":30,"width":180,"radius":"md"}]]}],["$","$L2e",null,{"gap":"xs","wrap":"nowrap","className":"-order-1 flex-1 justify-center md:order-0","children":[["$","$L2f",null,{"height":30,"width":32,"radius":"md"}],["$","$L2f",null,{"height":30,"width":132,"radius":"xl"}],["$","$L2f",null,{"height":30,"width":32,"radius":"md"}]]}],["$","$L2e",null,{"gap":"xs","wrap":"nowrap","className":"flex-1 justify-end","children":[["$","$L2f",null,{"height":30,"width":72,"radius":"xl"}],["$","$L2f",null,{"height":24,"width":1,"radius":0}],["$","$L2f",null,{"circle":true,"height":30,"width":30}]]}]]}]}]}],["$","$L2d",null,{"size":"md","className":"w-full px-0 pb-[40vh] md:px-3 md:pt-2","children":[["$","$L2e",null,{"gap":"sm","mb":"xs","wrap":"wrap","className":"pl-3 md:pl-0","children":[["$","$L2f",null,{"height":28,"width":118,"radius":"md"}],["$","$L2f",null,{"height":28,"width":158,"radius":"md"}],["$","$L2f",null,{"height":28,"width":102,"radius":"md"}]]}],["$","$L30",null,{"radius":"lg","p":{"base":"md","sm":"xl"},"className":"border border-[var(--dawn-border)] bg-[var(--dawn-surface)] shadow-xs","children":["$","$L31",null,{"gap":"sm","className":"min-h-[154px]","children":[["$","$L2f",null,{"height":18,"maw":430,"w":"52%"}],["$","$L2f",null,{"height":50,"width":"100%","radius":"lg"}],["$","$L2e",null,{"gap":"sm","wrap":"nowrap","children":[["$","$L2f",null,{"height":14,"width":106}],["$","$L2f",null,{"height":14,"width":92}],["$","$L2f",null,{"height":14,"width":74}]]}],["$","$L2c",null,{"className":"flex-1"}],["$","$L2e",null,{"justify":"flex-end","children":["$","$L2f",null,{"height":12,"width":90}]}]]}]}]]}]]}]]}],[],null],"children":["$","$23","c",{"children":[null,["$","$L21",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]]}]}] 9:["$","$23","c",{"children":["$L32",[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2cajy6-1555iq.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}],["$","script","script-0",{"src":"/_next/static/immutable/chunks/3vsjwkqrnr6o-.js","async":true,"nonce":"$undefined"}],["$","script","script-1",{"src":"/_next/static/immutable/chunks/229ef4-jnkvsc.js","async":true,"nonce":"$undefined"}],["$","script","script-2",{"src":"/_next/static/immutable/chunks/3gl_dncckb9v9.js","async":true,"nonce":"$undefined"}],["$","script","script-3",{"src":"/_next/static/immutable/chunks/32ab1-u3cb_qs.js","async":true,"nonce":"$undefined"}],["$","script","script-4",{"src":"/_next/static/immutable/chunks/36gqoq5qmb8-2.js","async":true,"nonce":"$undefined"}],["$","script","script-5",{"src":"/_next/static/immutable/chunks/0rbev1mc20ba0.js","async":true,"nonce":"$undefined"}],["$","script","script-6",{"src":"/_next/static/immutable/chunks/150hbuden79rn.js","async":true,"nonce":"$undefined"}],["$","script","script-7",{"src":"/_next/static/immutable/chunks/0ha648fxq171z.js","async":true,"nonce":"$undefined"}],["$","script","script-8",{"src":"/_next/static/immutable/chunks/05t9iayep0a2s.js","async":true,"nonce":"$undefined"}],["$","script","script-9",{"src":"/_next/static/immutable/chunks/1w0ugn8gsprga.js","async":true,"nonce":"$undefined"}],["$","script","script-10",{"src":"/_next/static/immutable/chunks/3nl9fi3307rom.js","async":true,"nonce":"$undefined"}],["$","script","script-11",{"src":"/_next/static/immutable/chunks/21d_o6bnt91kt.js","async":true,"nonce":"$undefined"}],["$","script","script-12",{"src":"/_next/static/immutable/chunks/0jq5dbwywr15z.js","async":true,"nonce":"$undefined"}],["$","script","script-13",{"src":"/_next/static/immutable/chunks/1ihptjp908yfr.js","async":true,"nonce":"$undefined"}],["$","script","script-14",{"src":"/_next/static/immutable/chunks/2ietcr953ev1h.js","async":true,"nonce":"$undefined"}],["$","script","script-15",{"src":"/_next/static/immutable/chunks/00a4i-uw-xyz3.js","async":true,"nonce":"$undefined"}],["$","script","script-16",{"src":"/_next/static/immutable/chunks/2an6gvakdw6vb.js","async":true,"nonce":"$undefined"}],["$","script","script-17",{"src":"/_next/static/immutable/chunks/2o12m6vfw18pf.js","async":true,"nonce":"$undefined"}],["$","script","script-18",{"src":"/_next/static/immutable/chunks/1yi481-l2hepi.js","async":true,"nonce":"$undefined"}],["$","script","script-19",{"src":"/_next/static/immutable/chunks/33rbfp-mj0pdm.js","async":true,"nonce":"$undefined"}],["$","script","script-20",{"src":"/_next/static/immutable/chunks/41riv7bl7yh9z.js","async":true,"nonce":"$undefined"}]],["$","$L33",null,{"children":["$","$34",null,{"name":"Next.MetadataOutlet","children":"$@35"}]}]]}] b:["$","$23","c",{"children":[null,["$","$L21",null,{"parallelRouterKey":"children","error":"$36","errorStyles":[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ys4rianfzaw1.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}]],"errorScripts":[["$","script","script-0",{"src":"/_next/static/immutable/chunks/3kyu0pw6qede6.js","async":true}],["$","script","script-1",{"src":"/_next/static/immutable/chunks/1y0yg88od_lid.js","async":true}]],"template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]]}] c:["$","$23","c",{"children":[null,["$","$L21",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]]}] d:["$","$23","c",{"children":[null,null,null]}] e:["$","$23","h",{"children":[null,["$","$L37",null,{"children":"$L38"}],["$","div",null,{"hidden":true,"children":["$","$L39",null,{"children":["$","$34",null,{"name":"Next.Metadata","children":"$L3a"}]}]}],["$","meta",null,{"name":"next-size-adjust","content":""}]]}] 10:["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/0eq2uwub2-2lt.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}] 11:["$","link","1",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/1kcvv4guurxwh.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}] 12:["$","link","2",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ojxyc8kui2ci.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}] 13:["$","link","3",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/16ecsvtuc9a9i.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}] 14:["$","link","4",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/3o9c7gvideo11.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}] 15:["$","link","5",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/3ek3mqtjybqx8.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}] 16:["$","link","6",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ys4rianfzaw1.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}] a:C 3b:I[52998,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js"],"AuthProvider"] 3c:I[430359,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js"],"SolveStoreProvider"] 3d:I[611346,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js"],"FormulaBookletProvider"] 3f:I[622472,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js"],"ReferralAnnouncementModal"] 24:["$","$L3b",null,{"user":null,"myData":null,"course":null,"idToken":null,"consentRequired":false,"analyticsContext":{"account_segment":"signed_out","user_role":"signed_out","analytics_schema_version":1},"children":[["$","$L3c",null,{"initState":{"energy":0},"children":["$","$L3d",null,{"initialPinnedFormulas":[],"children":["$","$L21",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":[["$","main",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__root","children":["$","section",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__card","children":["$","div",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__content","children":[["$","$L1e",null,{"src":"/dawnbridge-wordmark.svg","alt":"Dawnbridge","width":188,"height":46,"priority":true,"className":"DawnbridgeUtilityShell-module__JpDsgG__wordmark"}],["$","header",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__header","children":[["$","p",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__eyebrow","children":"404"}],["$","h1",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__title","children":"This page moved"}],["$","p",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__description","children":"The link may be old, or the page may no longer be available."}]]}],"$undefined",["$","div",null,{"className":"DawnbridgeUtilityShell-module__JpDsgG__actions","children":[["$","$L1f",null,{"href":"/course","className":"DawnbridgeUtilityShell-module__JpDsgG__primaryAction","children":"Go to your course"}],["$","$L1f",null,{"href":"/","className":"DawnbridgeUtilityShell-module__JpDsgG__secondaryAction","children":"Back to home"}]]}]]}]}]}],[["$","link","0",{"rel":"stylesheet","href":"/_next/static/immutable/chunks/2ys4rianfzaw1.css","precedence":"next","crossOrigin":"$undefined","nonce":"$undefined"}]]],"forbidden":"$undefined","unauthorized":"$undefined"}]}]}],"$L3e",["$","$L3f",null,{}]]}] 3e:null 38:[["$","meta","0",{"charSet":"utf-8"}],["$","meta","1",{"name":"viewport","content":"width=device-width, initial-scale=1"}]] 40:I[905754,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js"],"IconMark"] 35:null 3a:[["$","title","0",{"children":"Problem Bank | IB Math AASL | Dawnbridge"}],["$","meta","1",{"name":"description","content":"Hundreds of custom-built, IB-exam-style problems"}],["$","link","2",{"rel":"manifest","href":"/manifest.webmanifest","crossOrigin":"$undefined"}],["$","meta","3",{"property":"og:title","content":"Dawnbridge | Interactive IB Math Practice"}],["$","meta","4",{"property":"og:description","content":"Dawnbridge is the next generation of resources for IB Math. Easily ace your exams with the help of our interactive problems and resources."}],["$","meta","5",{"property":"og:url","content":"https://www.dawnbridge.education"}],["$","meta","6",{"property":"og:site_name","content":"Dawnbridge"}],["$","meta","7",{"property":"og:type","content":"website"}],["$","meta","8",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","9",{"name":"twitter:title","content":"Dawnbridge | Interactive IB Math Practice"}],["$","meta","10",{"name":"twitter:description","content":"Dawnbridge is the next generation of resources for IB Math. Easily ace your exams with the help of our interactive problems and resources."}],["$","link","11",{"rel":"icon","href":"/favicon.ico?favicon.1io2l46hsrw7z.ico","sizes":"32x32","type":"image/x-icon"}],["$","link","12",{"rel":"icon","href":"/favicon.ico","sizes":"32x32","type":"image/x-icon"}],["$","link","13",{"rel":"icon","href":"/icon.svg","sizes":"any","type":"image/svg+xml"}],["$","link","14",{"rel":"icon","href":"/icon-96.png","sizes":"96x96","type":"image/png"}],["$","link","15",{"rel":"apple-touch-icon","href":"/apple-icon.png","sizes":"96x96","type":"image/png"}],["$","$L40","16",{}]] 41:I[56913,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"DesmosProvider"] 42:I[962899,["/_next/static/immutable/chunks/18z7hbezgakd8.js","/_next/static/immutable/chunks/3s1f7foqpdvup.js","/_next/static/immutable/chunks/2mkazo296h-fw.js","/_next/static/immutable/chunks/3kinzrgjz1nll.js","/_next/static/immutable/chunks/26vmqzkfqtibo.js","/_next/static/immutable/chunks/3e0dg2cn3u5-1.js","/_next/static/immutable/chunks/3av6zvu370icl.js","/_next/static/immutable/chunks/3et9qdvbyi-6u.js","/_next/static/immutable/chunks/424mjsijt8lk6.js","/_next/static/immutable/chunks/1qgctqfwjj94j.js","/_next/static/immutable/chunks/36omjr-s6xpax.js","/_next/static/immutable/chunks/39ps9az44hvg-.js","/_next/static/immutable/chunks/1dr-zgur0-w1_.js","/_next/static/immutable/chunks/0knlg885uauhx.js","/_next/static/immutable/chunks/2r4iv242b51v2.js","/_next/static/immutable/chunks/1o6d8gkxacyr3.js","/_next/static/immutable/chunks/1oaqlgeq13km-.js","/_next/static/immutable/chunks/3it7cbupuus2e.js","/_next/static/immutable/chunks/2bo-0yc5izpx4.js","/_next/static/immutable/chunks/27vysu0t21548.js","/_next/static/immutable/chunks/1ub57e03r3f4t.js","/_next/static/immutable/chunks/1-evclxk3rbx-.js","/_next/static/immutable/chunks/19twkhdo912cr.js","/_next/static/immutable/chunks/0lltiylvuv62v.js","/_next/static/immutable/chunks/2r657mtk43wxk.js","/_next/static/immutable/chunks/2wz3oi8jnzj1m.js","/_next/static/immutable/chunks/0jskn-qk2_797.js","/_next/static/immutable/chunks/29u3013r8iuiy.js","/_next/static/immutable/chunks/3s5tdxs448l-j.js","/_next/static/immutable/chunks/402vclztj-n8x.js","/_next/static/immutable/chunks/3d8zyg8qp3nfj.js","/_next/static/immutable/chunks/1p35tho0xv6f4.js","/_next/static/immutable/chunks/1oqo8q_chzpnd.js","/_next/static/immutable/chunks/32je84c6xizbv.js","/_next/static/immutable/chunks/2r74poshej4cn.js"],"default"] 43:Td80,{"version":11,"randomSeed":"f1189518f4cf6a6dabef5f52d51559a4","graph":{"viewport":{"xmin":-0.8183456824969637,"ymin":-0.019352588053772823,"xmax":1.7275820927338188,"ymax":1.0157776236938085},"showGrid":false,"showXAxis":false,"showYAxis":false,"degreeMode":true,"product":"geometry-calculator","__v12ViewportLatexStash":{"xmin":"-0.8183456824969637","xmax":"1.7275820927338188","ymin":"-0.019352588053772823","ymax":"1.0157776236938085"}},"expressions":{"list":[{"type":"folder","id":"**dcg_geo_folder**","title":"geometry","secret":true},{"type":"expression","id":"1","color":"#C72106","latex":"L=1"},{"type":"expression","id":"2","color":"#C72106","latex":"f_{square}\\left(X_{bl},l\\right)=\\operatorname{polygon}\\left(X_{bl},X_{bl}+\\left(l,0\\right),X_{bl}+\\left(l,l\\right),X_{bl}+\\left(0,l\\right)\\right)"},{"type":"expression","id":"32","color":"#7950F2","latex":"w\\left(n\\right)=L\\cdot\\left(\\frac{1}{2}\\right)^{\\operatorname{floor}\\left(\\frac{n}{2}\\right)}","hidden":true},{"type":"expression","id":"36","color":"#C72106","latex":"h\\left(n\\right)=L\\cdot\\left(\\frac{1}{2}\\right)^{\\operatorname{floor}\\left(\\frac{n+1}{2}\\right)}","hidden":true},{"type":"expression","id":"28","color":"#C72106","latex":"P\\left(1\\right)=\\left(0,0\\right)"},{"type":"expression","id":"39","color":"#7950F2","latex":"P\\left(n\\right)=P\\left(n-1\\right)+4^{-\\operatorname{floor}\\left(\\frac{n-2}{4}\\right)}\\left\\{\\operatorname{mod}\\left(n,4\\right)=2:\\left(0,0.5\\right),\\operatorname{mod}\\left(n,4\\right)=3:\\left(0.5,0.25\\right),\\operatorname{mod}\\left(n,4\\right)=0:\\left(0.25,-0.25\\right),\\operatorname{mod}\\left(n,4\\right)=1:\\left(-0.25,-0\\right)\\right\\}"},{"type":"expression","id":"52","color":"#7950F2","latex":"N=\\left[1...10\\right]"},{"type":"expression","id":"54","color":"#7950F2","latex":"o\\left(n\\right)=0.5s\\left(n,10\\right)","hidden":true},{"type":"expression","id":"60","color":"#7950F2","latex":"o\\left(1\\right)"},{"type":"expression","id":"57","color":"#7950F2","latex":"s\\left(t_{m},v\\right)=\\frac{1}{1+e^{-\\left(t-t_{m}\\right)v}}"},{"type":"expression","id":"53","color":"#7950F2","latex":"t=1.008","slider":{"hardMin":true,"hardMax":true,"animationPeriod":20000,"loopMode":"LOOP_FORWARD","isPlaying":true,"min":"0","max":"13"}},{"type":"expression","id":"50","color":"#7950F2","latex":"\\left[f_{rect}\\left(P\\left(k\\right),w\\left(k\\right),h\\left(k\\right)\\right)\\operatorname{for}k=N\\right]","fillOpacity":"o\\left(N\\right)","lineOpacity":"2o\\left(N\\right)"},{"type":"expression","id":"61","color":"#FFFFFF","latex":"\\left[P\\left(k\\right)+0.5\\left(w\\left(k\\right),h\\left(k\\right)\\right)\\operatorname{for}k=N\\right]","showLabel":true,"label":"${N}","hidden":true,"labelSize":"\\frac{2.3}{\\sqrt{N}}","suppressTextOutline":true,"pointOpacity":"2o\\left(N\\right)"},{"type":"expression","id":"12","color":"#7950F2","latex":"f_{rect}\\left(X_{bl},w,h\\right)=\\operatorname{polygon}\\left(X_{bl},X_{bl}+\\left(w,0\\right),X_{bl}+\\left(w,h\\right),X_{bl}+\\left(0,h\\right)\\right)"},{"type":"expression","id":"10","color":"#7950F2","latex":"\\operatorname{polygon}\\left(\\left(0,0\\right),\\left(0,1\\right),\\left(1,1\\right),\\left(1,0\\right)\\right)","fill":false,"lineStyle":"DASHED"},{"type":"expression","id":"74","color":"#C72106"}]},"geometryToolbar":{"toolbar":"none"},"includeFunctionParametersInRandomSeed":true,"doNotMigrateMovablePointStyle":true}44:T1eaa,{"version":11,"randomSeed":"f1189518f4cf6a6dabef5f52d51559a4","graph":{"viewport":{"xmin":-1.220033498802791,"ymin":-1.4301720834491765,"xmax":9.68785295394013,"ymax":1.3295342003916761},"showGrid":false,"xAxisNumbers":false,"yAxisNumbers":false,"polarNumbers":false,"product":"geometry-calculator"},"expressions":{"list":[{"type":"folder","id":"**dcg_geo_folder**","title":"geometry","secret":true},{"type":"expression","id":"2","color":"#106BC7","latex":"x^{2}+y^{2}=1"},{"type":"expression","id":"21","color":"#106BC7","latex":"d=0.1"},{"type":"expression","id":"3","color":"#106BC7","latex":"\\alpha=2.987","slider":{"hardMin":true,"hardMax":true,"animationPeriod":11428.57142857143,"loopMode":"LOOP_FORWARD","isPlaying":true,"min":"0","max":"4\\pi"}},{"type":"expression","id":"20","color":"#106BC7","latex":"R=\\alpha\\to0,s\\to\\left[\\right],c\\to\\left[\\right]"},{"type":"expression","id":"18","color":"#106BC7","latex":"s=\\left[0,0.09983341664682815,0.19866933079506122,0.29552020666133955,0.3894183423086505,0.479425538604203,0.5646424733950354,0.644217687237691,0.7173560908995228,0.7833269096274834,0.8414709848078965,0.8912073600614354,0.9320390859672263,0.963558185417193,0.9854497299884601,0.9974949866040544,0.9995736030415051,0.9916648104524686,0.9738476308781951,0.9463000876874145,0.9092974268256817,0.8632093666488737,0.8084964038195901,0.7457052121767203,0.675463180551151,0.5984721441039565,0.5155013718214642,0.4273798802338298,0.3349881501559051,0.23924932921398243,0.1411200080598672,0.04158066243329049,-0.058374143427580086,-0.1577456941432482,-0.2555411020268312,-0.35078322768961984,-0.44252044329485246,-0.5298361409084934,-0.6118578909427189,-0.6877661591839738,-0.7568024953079282,-0.8182771110644103,-0.8715757724135882,-0.9161659367494549,-0.951602073889516,-0.977530117665097,-0.9936910036334644,-0.9999232575641008,-0.9961646088358407,-0.9824526126243325,-0.9589242746631385,-0.9258146823277325,-0.8834546557201531,-0.8322674422239013,-0.7727644875559871,-0.7055403255703919,-0.6312666378723216,-0.5506855425976376,-0.46460217941375737,-0.373876664830236,-0.27941549819892586,-0.18216250427209588,-0.0830894028174964,0.016813900484349713,0.11654920485049364,0.21511998808781552,0.31154136351337786,0.4048499206165983,0.49411335113860816,0.5784397643882001,0.6569865987187891,0.7289690401258759,0.7936678638491531,0.8504366206285644,0.8987080958116269,0.9379999767747389,0.9679196720314863,0.9881682338770004,0.998543345374605,0.998941341839772,0.9893582466233818,0.9698898108450863,0.9407305566797731,0.9021718337562933,0.8545989080882804,0.7984871126234903,0.7343970978741133,0.6629692300821833,0.5849171928917617,0.5010208564578846,0.4121184852417566,0.3190983623493521,0.22288991410024764,0.1244544235070617,0.024775425453357765,-0.0751511204618093,-0.17432678122297965,-0.27176062641094245,-0.3664791292519284,-0.45753589377532133,-0.5440211108893698,-0.6250706488928821,-0.6998746875935423,-0.7676858097635825,-0.8278264690856537,-0.87969575997167,-0.9227754216128066,-0.9566350162701879,-0.9809362300664916,-0.9954362533063774,-0.9999902065507035,-0.9945525882039892,-0.9791777291513174,-0.954019249902089,-0.9193285256646757,-0.8754521746884285,-0.8228285949687089,-0.7619835839190333,-0.6935250847771224,-0.6181371122370333,-0.5365729180004349,-0.44964746453460147,-0.3582292822368287,-0.26323179136580094,-0.1656041754483094,-0.06632189735120068,0.033623047221136695,0.13323204141994222,0.23150982510153895,0.32747443913769303,0.4201670368266409,0.5086614643723737\\right]"},{"type":"expression","id":"19","color":"#106BC7","latex":"c=\\left[1,0.9950041652780258,0.9800665778412416,0.955336489125606,0.9210609940028851,0.8775825618903728,0.8253356149096783,0.7648421872844885,0.6967067093471654,0.6216099682706644,0.5403023058681398,0.4535961214255773,0.3623577544766736,0.26749882862458735,0.16996714290024104,0.0707372016677029,-0.029199522301288815,-0.12884449429552464,-0.2272020946930871,-0.32328956686350335,-0.4161468365471424,-0.5048461045998576,-0.5885011172553458,-0.6662760212798241,-0.7373937155412454,-0.8011436155469337,-0.8568887533689473,-0.9040721420170612,-0.9422223406686581,-0.9709581651495905,-0.9899924966004454,-0.9991351502732795,-0.9982947757947531,-0.9874797699088649,-0.9667981925794611,-0.9364566872907963,-0.896758416334147,-0.848100031710408,-0.7909677119144168,-0.7259323042001402,-0.6536436208636119,-0.5748239465332692,-0.4902608213406994,-0.40079917207997545,-0.30733286997841935,-0.2107957994307797,-0.11215252693505487,-0.01238866346289056,0.0874989834394464,0.18651236942257576,0.28366218546322625,0.37797774271298024,0.4685166713003771,0.5543743361791608,0.6346928759426347,0.70866977429126,0.7755658785102496,0.8347127848391598,0.8855195169413189,0.9274784307440359,0.960170286650366,0.9832684384425845,0.9965420970232175,0.9998586363834151,0.9931849187581926,0.9765876257280235,0.9502325919585296,0.9143831482353194,0.8693974903498253,0.8157251001253568,0.7539022543433046,0.6845466664428066,0.6083513145322546,0.5260775173811053,0.43854732757439036,0.3466353178350258,0.2512598425822557,0.15337386203786435,0.05395542056264975,-0.04600212563953695,-0.14550003380861354,-0.2435441537357911,-0.3391548609838345,-0.4313768449706208,-0.5192886541166856,-0.6020119026848236,-0.6787200473200125,-0.7486466455973987,-0.811093014061656,-0.8654352092411123,-0.9111302618846769,-0.9477216021311119,-0.9748436214041636,-0.9922253254526034,-0.9996930420352065,-0.9971721561963784,-0.984687855794127,-0.9623648798313102,-0.9304262721047533,-0.8891911526253609,-0.8390715290764524,-0.7805681801691837,-0.7142656520272003,-0.6408264175949933,-0.5609842574272288,-0.4755369279959925,-0.3853381907718296,-0.2912892817213455,-0.1943299064553348,-0.09542885100095065,0.004425697988050785,0.10423602686569687,0.2030048638187504,0.2997453432770149,0.3934908663478909,0.4833047587530059,0.5682896297679736,0.6475963386538759,0.7204324789908387,0.7860702961410393,0.8438539587324921,0.8932061115093225,0.9336336440746373,0.9647326178866098,0.9861923022788637,0.9977982791785807,0.9994345855010047,0.9910848718142532,0.9728325656974354,0.9448600381598606,0.9074467814501962,0.8609666164623065\\right]"},{"type":"expression","id":"30","color":"#106BC7","latex":"y=\\sin\\alpha\\left\\{\\cos\\alpha0:0,\\sin\\alpha\\right\\}0:\\sin\\alpha,0\\right\\}\\right\\}","lineStyle":"DASHED"},{"type":"expression","id":"25","color":"#106BC7","latex":"\\left[\\left(kd,s\\left[k\\right]\\right)\\left\\{kd<\\alpha\\right\\}\\operatorname{for}k=\\left[1...\\operatorname{count}\\left(s\\right)\\right]\\right]"},{"type":"expression","id":"32","color":"#f76707","latex":"\\left[\\left(kd,c\\left[k\\right]\\right)\\left\\{kd<\\alpha\\right\\}\\operatorname{for}k=\\left[1...\\operatorname{count}\\left(s\\right)\\right]\\right]"},{"type":"expression","id":"22","color":"#106BC7","latex":"B=\\left\\{\\alpha>4\\pi:R,\\left\\{\\operatorname{mod}\\left(\\alpha,\\frac{d}{5}\\right)=0:\\left(S,C,T\\right),T\\right\\}\\right\\}"},{"type":"expression","id":"23","color":"#106BC7","latex":"S=s\\to\\operatorname{join}\\left(s,\\sin\\alpha\\right)"},{"type":"expression","id":"24","color":"#106BC7","latex":"C=c\\to\\operatorname{join}\\left(c,\\cos\\alpha\\right)"},{"type":"expression","id":"17","color":"#106BC7","latex":"T=\\alpha\\to\\alpha+d"},{"type":"expression","id":"4","color":"#106BC7","latex":"P=\\left(\\cos\\alpha,\\sin\\alpha\\right)","dragMode":"NONE"},{"type":"expression","id":"5","color":"#106BC7","latex":"\\operatorname{segment}\\left(P,\\left(0,0\\right)\\right)"}],"ticker":{"handlerLatex":"B","minStepLatex":"20","open":true}},"geometryToolbar":{"toolbar":"none"},"includeFunctionParametersInRandomSeed":true}28:["$","$L41",null,{"children":["$","$L42",null,{"subject":"AASL","urlSubject":"AASL","units":[{"id":358,"name":"Cartesian plane & lines","slug":"cartesian-plane-lines","topic":2,"subjects":["AAHL","AASL","AIHL","AISL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"2PWB3y28WgU","concepts":[{"id":456,"name":"Coordinates, midpoint, and distance","slug":"coordinates-midpoint-and-distance","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029427801-Artboard%2031.png?alt=media&token=95ab7b9a-5982-46be-9e4e-9550a0c061b7","type":"image"},"skills":[1083,1084,748,749,750],"description":"Points \$\\left(x,y\\right)\$ in the Cartesian plane, the midpoint, and distances between points.","hasLesson":true},{"id":458,"name":"Gradient and line equations","slug":"gradient-and-line-equations","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029420274-Artboard%2032.png?alt=media&token=cdabe575-6e4b-43ce-9317-7e886d22c505","type":"image"},"skills":[366,365,367,751,752],"description":"

Gradient-intercept form, point-gradient form, vertical lines, horizontal lines, standard form of a line

\n","hasLesson":true},{"id":369,"name":"Line intersections, parallel lines, and perpendicular lines","slug":"line-intersections-parallel-lines-and-perpendicular-lines","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029411556-Artboard%2033.png?alt=media&token=ca7518c8-6ff1-4743-aa59-ba4fc0c1a0d8","type":"image"},"skills":[799,753,754,755],"description":"

Parallel and perpendicular lines, intersection of 2 straight lines, solving a two-variable system of equations

","hasLesson":true}],"description":"

Coordinates in the Cartesian plane, gradients and the distance/midpoint formulas, equations of straight lines, parallel and perpendicular lines, and systems of linear equations.

\n"},{"id":106,"name":"Quadratics","slug":"quadratics","topic":2,"subjects":["AAHL","AASL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"-f2Vrii1MY8","concepts":[{"id":404,"name":"Quadratics and parabolas","slug":"quadratics-and-parabolas","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1770853908080-quadratics.png?alt=media&token=e4ba899b-9802-4e8e-9c73-a720fbeb521e","type":"image"},"skills":[806,805,406,407,800,411,408,405,845,801,802],"description":"Quadratic expressions \$ax^2+bx+c\$, their parabola graphs, the axis of symmetry, vertex, and intercetps.","hasLesson":true},{"id":223,"name":"Applications of Quadratics","slug":"applications-of-quadratics","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1770854104447-quadratic%20applications.png?alt=media&token=fe504cd1-e3c5-4205-9363-26479955bca3","type":"image"},"skills":[766,924],"description":"

Evaluating the discriminant, sum and product of roots, quadratic inequalities, quadratics of other forms.

\n","hasLesson":true}],"description":"

Quadratic expressions and functions in standard, factored and vertex form, including graphing parabolas, roots, axis of symmetry and vertex, factoring, completing the square, quadratic formula, discriminant, inequalities, calculator methods and simple optimization.

\n"},{"id":99,"name":"Exponents & Logarithms","slug":"exponents-logarithms","topic":1,"subjects":["AAHL","AASL","AIHL","AISL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"Y_x-KthdQmc","concepts":[{"id":168,"name":"Exponentiation and integer exponent laws","slug":"exponentiation-and-integer-exponent-laws","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757030280792-Artboard%201.png?alt=media&token=6be9f1a7-c875-4ed1-bf66-e1be44cf57e4","type":"image"},"skills":[620,621,614,618,616,622,619,613,844],"description":"

Exponential notation and algebra, including laws for zero and negative exponents, multiplying and dividing powers with the same base, products and quotients with the same exponent, powers of powers, equating exponents in exponential equations, and rationalizing denominators when needed.

\n","hasLesson":true},{"id":879,"name":"Radicals and roots","slug":"radicals-and-roots","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757030066026-Artboard%203.png?alt=media&token=8e47da95-01c8-40c1-8577-c825a8f16f5f","type":"image"},"skills":[1072,886,888,889,892,893,895,897],"description":"

Square roots and nth roots, including \\sqrt[n]{a}=a^{\\frac1n}, rational exponents a^{\\frac{m}{n}}, simplifying radicals, roots of negative numbers, and rationalizing denominators using roots or conjugates.

\n","hasLesson":true},{"id":171,"name":"Logarithm algebra","slug":"logarithm-algebra","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757030072565-Artboard%202.png?alt=media&token=7a029ca5-f0a3-452e-8694-6ab671866da3","type":"image"},"skills":[624,625,360,626,361,1066,628,627,362],"description":"

Logarithm algebra including the definition \\log_a b=x \\Leftrightarrow a^x=b, base 10 and natural logs, evaluating logs exactly or with technology, and using the rules \\log_a x+\\log_a y=\\log_a(xy), \\log_a x-\\log_a y=\\log_a(x/y), \\log_a(x^m)=m\\log_a x, change of base, and logarithms to solve exponential equations.

\n","hasLesson":true},{"id":170,"name":"Exponential functions","slug":"exponential-functions","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757030057079-Artboard%204.png?alt=media&token=eabb4444-acbe-474e-8671-d9c3c8b4b523","type":"image"},"skills":[493,494,797,904,901,902],"description":"

Exponential functions f(x)=a^x and logarithmic functions f(x)=\\log_a x, their domains and ranges, inverse relationship and symmetry in y=x, and graphing/making sense of exponential growth and decay models such as ca^x+k or Ab^t+c.

\n","hasLesson":true}],"description":"

Exponents, roots and rational powers, logarithm laws and change of base, and exponential and logarithmic functions and equations.

\n"},{"id":104,"name":"Function Theory","slug":"function-theory","topic":2,"subjects":["AAHL","AASL","AIHL","AISL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"5-tzjROivOo","concepts":[{"id":252,"name":"Functions and their properties","slug":"functions-and-their-properties","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1770684953385-function%20machine.png?alt=media&token=c59ac711-975a-4c73-ae39-f10fda053427","type":"image"},"skills":[384,1073,1074,1075,1085],"description":"The concept of a function as a mathematical machine, the notation f\\left(x\\right)=\\ldots, and function tables / diagrams.","hasLesson":true},{"id":258,"name":"Function Graphs","slug":"function-graphs","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1770685518993-function%20graphs.png?alt=media&token=d16df97f-db93-49ec-a84f-bd64de28e3ec","type":"image"},"skills":[415,847,849,260,505,373,391,375,374,376,1035,907],"description":"

Graphing functions with a calculator, characteristics of a function, even and odd functions, x and y intercepts, horizontal and vertical asymptotes, maxima and minima

","hasLesson":true},{"id":253,"name":"Function Composition","slug":"function-composition","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1770854427967-function%20composition.png?alt=media&token=81948aeb-8bb9-4784-8de2-4a1944a38553","type":"image"},"skills":[763],"description":"

Composing functions like f\\circ g

","hasLesson":true},{"id":970,"name":"Inverse Functions","slug":"inverse-functions","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1770854455145-inverse%20functions.png?alt=media&token=539c397b-5ca2-4e26-9810-ce37225be884","type":"image"},"skills":[386,378,379,416,377,380],"description":"The concept of an inverse function, its graph as a reflection in the line y=x, finding the inverse of a specific value, and domain and range of inverse functions. When inverse functions exist, and how to find them when they do.","hasLesson":true}],"description":"

Function notation and representations, including evaluating, graphing and modeling functions, domain and range, composition and inverse functions, and using technology to analyze graphs, intercepts, extrema and asymptotes.

\n"},{"id":865,"name":"Rounding & Error","slug":"rounding-error","topic":1,"subjects":["AISL","AASL","AIHL","AAHL"],"isVideoReady":false,"videoId":null,"concepts":[{"id":866,"name":"Rounding and estimation","slug":"rounding-and-estimation","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757030041198-Artboard%205.png?alt=media&token=25922b18-0ebb-4291-af0d-e8584c14c0e9","type":"image"},"skills":[869,877],"description":"

Rounding, significant figures, decimal places

","hasLesson":true},{"id":868,"name":"Scientific Notation","slug":"scientific-notation","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1773515918578-Artboard%206.png?alt=media&token=69a03129-81d4-4eeb-a181-bef451d1b1cd","type":"image"},"skills":[882,885,887],"description":"

Converting numbers to and from scientific notation \\left(a\\times10^{k}\\right)

","hasLesson":true}],"description":"

Rounding, significant figures, and scientific notation.

"},{"id":30,"name":"Sequences & Series","slug":"sequences-series","topic":1,"subjects":["AAHL","AIHL","AISL","AASL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"DI2cudLIWEk","concepts":[{"id":27,"name":"Arithmetic Sequences","slug":"arithmetic-sequences","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029981178-Artboard%207.png?alt=media&token=8a340859-acc8-458a-a5be-e962cb927b61","type":"image"},"skills":[602,603],"description":"

Introduction to the definition, properties, and general term of an arithmetic sequence

","hasLesson":true},{"id":28,"name":"Geometric Sequences","slug":"geometric-sequences","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757030011943-Artboard%208.png?alt=media&token=96b137e1-fd1c-43b5-9749-9222bc9e9393","type":"image"},"skills":[604,40],"description":"

Introduction to definition, identification, and general term of geometric sequences

","hasLesson":true},{"id":31,"name":"Arithmetic Series","slug":"arithmetic-series","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757030004817-Artboard%209.png?alt=media&token=4f2e2c52-6ec5-4ca1-b258-67a93d257f07","type":"image"},"skills":[607,46],"description":"

Definition of series, formula for arithmetic series

","hasLesson":true},{"id":860,"name":"Summation notation","slug":"summation-notation","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029991958-Artboard%2010.png?alt=media&token=dcfdc9b6-9e57-47bc-b6bc-9b4088d76eb5","type":"image"},"skills":[47,837,861,862,863,905],"description":"

Summation notation, properties of sums

","hasLesson":true},{"id":859,"name":"Geometric Series","slug":"geometric-series","isPaywalled":true,"isPublic":true,"thumbnail":{"type":"graph","graph":{"data":"$43","mode":"geometry"}},"skills":[606,608,51],"description":"

Finite geometric series with sum S_{n}=\\frac{u_1(1-r^n)}{1-r}, and infinite geometric series convergence when |r|<1 so that S_\\infty=\\frac{u_1}{1-r}.

\n","hasLesson":true},{"id":906,"name":"Sequence Mode (Calculator)","slug":"sequence-mode-calculator","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029904498-Artboard%2011.png?alt=media&token=542aa577-0f10-43f9-b206-99a890877c96","type":"image"},"skills":[],"description":"

Working with sequences on a calculator, computations and applications of a calculator

","hasLesson":true},{"id":870,"name":"Compound interest, depreciation and inflation","slug":"compound-interest-depreciation-and-inflation","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029508658-Artboard%2012.png?alt=media&token=fb6f46c3-0587-4c9c-83b6-2dd08aad7ca4","type":"image"},"skills":[872,871,883,896,873],"description":"

Compound growth, depreciation, interest, inflation, real value

","hasLesson":true}],"description":"Arithmetic sequences u_{n}=u_1+\\left(n-1\\right)d and geometric sequences v_{n}=v_1r^{n-1}, as well as their series and the \\Sigma notation for summation."},{"id":100,"name":"Counting & Binomials","slug":"counting-binomials","topic":1,"subjects":["AAHL","AASL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"w08O6aqQegU","concepts":[{"id":246,"name":"Pascal's Triangle and nCr","slug":"pascals-triangle-and-ncr","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029889677-Artboard%2013.png?alt=media&token=8abbdcf6-30e5-4df2-a898-50033c4a5db7","type":"image"},"skills":[631,630,629,1025],"description":"

Pascal's triangle and binomial coefficients, using factorials and ^{n}C_{r}=\\frac{n!}{r!(n-r)!} to find combinations and the coefficients in binomial expansions.

\n","hasLesson":true},{"id":248,"name":"Binomial Theorem","slug":"binomial-theorem","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029881955-Artboard%2014.png?alt=media&token=1442315c-0b38-4a37-a959-022b43646b65","type":"image"},"skills":[249,632],"description":"

Expansion of \\left(a+b\\right)^n using binomial coefficients, including the general term \\binom{n}{r}a^{n-r}b^r and finding the coefficient of a specified term.

\n","hasLesson":true}],"description":"

Factorials, combinations and Pascal's triangle, and using the binomial theorem to expand \\left(a+b\\right)^n and find specific coefficients.

\n"},{"id":102,"name":"Proof and Reasoning","slug":"proof-and-reasoning","topic":1,"subjects":["AAHL","AASL"],"isVideoReady":true,"videoId":"syZ6AKBabRA","concepts":[{"id":240,"name":"Proof by deduction","slug":"proof-by-deduction","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029849287-Artboard%2017.png?alt=media&token=312ca3d8-5599-4f64-8439-464901c0de57","type":"image"},"skills":[652,650],"description":"

Strict logical proofs by deduction, including parity arguments with even and odd integers written as n=2k and n=2k+1, and direct proofs that two expressions are equivalent by showing \\text{LHS}\\equiv\\text{RHS} for all variables.

\n","hasLesson":true}],"description":"

Simple deductive proofs to show LHS\\equiv RHS.

"},{"id":108,"name":"Transformations & asymptotes","slug":"transformations-asymptotes","topic":2,"subjects":["AAHL","AASL","AIHL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"xr5EGY1f9Ps","concepts":[{"id":263,"name":"Linear Transformations","slug":"linear-transformations","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029188684-Artboard%2038.png?alt=media&token=eab72306-0d65-4d6a-882d-85b179795b8d","type":"image"},"skills":[11,769,770,771,772,773,774],"description":"

Linear transformations of graphs and points: translations by a vector \\begin{pmatrix}a\\\\ b\\end{pmatrix}, vertical and horizontal stretches y=af(x) and y=f(qx), vertical and horizontal translations y=f(x)+b and y=f(x-a), and reflections in the x- and y-axes.

\n","hasLesson":true},{"id":255,"name":"Rational functions","slug":"rational-functions","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029160193-Artboard%2039.png?alt=media&token=cced4769-0d16-429a-8ae4-bd3a62d893ca","type":"image"},"skills":[808,364],"description":"

The reciprocal function f\\left(x\\right)=\\frac{1}{x}, its undefined value at x=0, self-inverse property, and the vertical and horizontal asymptotes of linear rational functions f\\left(x\\right)=\\frac{ax+b}{cx+d}.

\n","hasLesson":true}],"description":"

Translations, reflections and stretches of graphs, including reciprocal and linear rational functions with vertical and horizontal asymptotes.

\n"},{"id":356,"name":"2D & 3D Geometry","slug":"2d-geometry","topic":3,"subjects":["AAHL","AASL","AIHL","AISL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"GnG2jU8VpUg","concepts":[{"id":82,"name":"Right-angled triangles","slug":"right-angled-triangles","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029099320-Artboard%2046.png?alt=media&token=803487ed-7a2d-4c58-88e5-31cba1785454","type":"image"},"skills":[87,36,56,716,83,717],"description":"

Pythagoras's theorem, SOHCAHTOA, finding side length from angles

","hasLesson":true},{"id":37,"name":"Non-right-angled triangles","slug":"non-right-angled-triangles","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757029088911-Artboard%2047.png?alt=media&token=80493296-567f-4f51-b0b3-4c328ab90285","type":"image"},"skills":[88,73,74,718],"description":"

Area of non-right-angled triangles using A=\\frac12ab\\sin C, the sine rule \\frac{a}{\\sin A}=\\frac{b}{\\sin B}=\\frac{c}{\\sin C}, the cosine rule c^2=a^2+b^2-2ab\\cos C, and the ambiguous case when solving triangles.

\n","hasLesson":true},{"id":65,"name":"Radians, arcs and sectors","slug":"radians-arcs-and-sectors","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028966537-Artboard%2049.png?alt=media&token=21e1f320-b306-4587-8651-9991150cbd34","type":"image"},"skills":[492,66,720,4,68,14],"description":"

Radian measure, converting between radians and degrees, and calculating arc length and sector area using l=r\\theta, A=\\frac12\\theta r^2, C=2\\pi r, and A=\\pi r^2.

\n","hasLesson":true},{"id":722,"name":"3D volume and surface area","slug":"3d-volume-and-surface-area","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028955870-Artboard%2050.png?alt=media&token=3f2ceb70-0712-4f69-81cc-c257607a3013","type":"image"},"skills":[1080,1094,723,724,725,834,835],"description":"

Spheres, cylinders, prisms, right cones, right pyramids, and combinations of solids

","hasLesson":true},{"id":89,"name":"Angles of elevation and depression","slug":"angles-of-elevation-and-depression","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028981407-Artboard%2048.png?alt=media&token=5b9c00d8-8c4e-40c8-afef-26030c38db55","type":"image"},"skills":[90],"description":"Angles measured between a horizontal line and some elevated or depressed object.","hasLesson":true}],"description":"

2D and 3D geometry including circle measures and sectors, right-triangle and non-right-triangle trigonometry, bearings and angles of elevation/depression, 3D coordinates and angles in space, and surface area and volume of common solids.

\n"},{"id":58,"name":"Trig equations & identities","slug":"trig-equations-identities","topic":3,"subjects":["AAHL","AASL","AIHL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"M87nP0Y-Pds","concepts":[{"id":65,"name":"Radians, arcs and sectors","slug":"radians-arcs-and-sectors","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028966537-Artboard%2049.png?alt=media&token=21e1f320-b306-4587-8651-9991150cbd34","type":"image"},"skills":[492,66,720,4,68,14],"description":"

Radian measure, converting between radians and degrees, and calculating arc length and sector area using l=r\\theta, A=\\frac12\\theta r^2, C=2\\pi r, and A=\\pi r^2.

\n","hasLesson":true},{"id":166,"name":"The Unit Circle","slug":"the-unit-circle","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028896524-Artboard%2053.png?alt=media&token=6f0c6598-c2ab-4090-99f1-8e7ccf54e5df","type":"image"},"skills":[69,70,729,730,728,732,731,734,389,61],"description":"

The unit circle: using \\cos\\theta and \\sin\\theta as the x- and y-coordinates of a point on the circle, key exact values and quadrants, symmetry rules, periodicity, tangent as \\tan\\theta=\\frac{\\sin\\theta}{\\cos\\theta}, and \\sin^2\\theta+\\cos^2\\theta=1.

\n","hasLesson":true},{"id":735,"name":"Sinusoidal functions","slug":"sinusoidal-functions","isPaywalled":false,"isPublic":true,"thumbnail":{"type":"graph","graph":{"data":"$44","mode":"geometry"}},"skills":[736,76,14,75],"description":"

Radian measure, the sine and cosine functions with domain x\\in\\R and range (-1,1), the tangent function \\tan x=\\frac{\\sin x}{\\cos x} with its asymptotes and roots, and sinusoidal functions of the form a\\sin\\left(b\\left(x+c\\right)\\right)+d or a\\cos\\left(b\\left(x+c\\right)\\right)+d.

\n","hasLesson":true},{"id":949,"name":"Tangent and reciprocal trig functions","slug":"tangent-and-reciprocal-trig-functions","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028852382-Artboard%2054.png?alt=media&token=c153b834-4d14-48e7-b00c-ce7ed61b764b","type":"image"},"skills":[],"description":"

Reciprocal trigonometric functions: secant \\sec x = \\frac{1}{\\cos x}, cosecant \\cosec x = \\frac{1}{\\sin x}, and cotangent \\cot x = \\frac{1}{\\tan x}, including their basic values and graph behaviour where defined.

\n","hasLesson":true},{"id":396,"name":"Trigonometric equations","slug":"trigonometric-equations","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028815933-Artboard%2055.png?alt=media&token=283b491c-074b-4773-bc66-4c839b2c8cb5","type":"image"},"skills":[746,1021,744,745,747],"description":"

Solving trigonometric equations algebraically in a specified domain, including \\sin\\theta=a, \\cos\\theta=a, \\tan\\theta=a, equations with arguments of the form ax+b, and trigonometric quadratics using identities such as \\sin^2\\theta+\\cos^2\\theta=1.

\n","hasLesson":true},{"id":393,"name":"Pythagorean and double-angle identities","slug":"pythagorean-and-double-angle-identities","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028794001-Artboard%2057.png?alt=media&token=6c43949e-408e-48a5-aa5d-2ee8a9e57c20","type":"image"},"skills":[61,739,740],"description":"

Trigonometric identities including \\sin^2\\theta+\\cos^2\\theta=1, \\sin2\\theta=2\\sin\\theta\\cos\\theta, and the equivalent forms of \\cos2\\theta: \\cos^2\\theta-\\sin^2\\theta, 2\\cos^2\\theta-1, and 1-2\\sin^2\\theta.

\n","hasLesson":true}],"description":"

Unit circle trigonometry, key values, quadrant/sign rules, symmetry and periodicity, double angle and Pythagorean identities, and solving basic trigonometric equations and trigonometric quadratics in a given domain.

\n"},{"id":346,"name":"Differentiation","slug":"differentiation","topic":5,"subjects":["AAHL","AASL","AIHL","AISL"],"isVideoReady":true,"videoId":"7GKpUTrLk_o","concepts":[{"id":111,"name":"Limits and Derivatives","slug":"limits-and-derivatives","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027621748-Artboard%2086.png?alt=media&token=f862e464-90a6-482b-9b52-1be5899b056c","type":"image"},"skills":[565,566,567,570,569,571,535,534,19],"description":"

The basic idea of a limit \\lim_{x\\to a}f(x) from tables and graphs, slope as a limit, rate of change and gradient, derivatives of x^n, and linearity for sums and scalar multiples.

\n","hasLesson":true},{"id":112,"name":"Differentiation rules","slug":"differentiation-rules","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027576694-Artboard%2088.png?alt=media&token=b370fb29-0b88-471e-867c-06e32f483988","type":"image"},"skills":[541,539,538,336,533,335,535,534],"description":"

Derivatives of x^{r},e^{x},\\ln x,\\sin x and \\cos x. The chain, product and quotient rules.

","hasLesson":true},{"id":326,"name":"Tangents and normals","slug":"tangents-and-normals","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027557648-Artboard%2088_1.png?alt=media&token=ba008df4-2d3c-426c-bf8f-0809dadd8f51","type":"image"},"skills":[575,576],"description":"

Definitions of tangent and normal, finding tangent and normal lines to a function

","hasLesson":true},{"id":331,"name":"Applications of the First Derivative","slug":"applications-of-the-first-derivative","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027540062-Artboard%2089.png?alt=media&token=8765b377-ec1c-498c-8770-e7f8904405d4","type":"image"},"skills":[573,16,531],"description":"

Increasing and decreasing intervals, stationary points (maxima and minima), and optimisation

","hasLesson":true},{"id":7,"name":"Second Derivatives and Applications","slug":"second-derivatives-and-applications","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027522497-Artboard%2090.png?alt=media&token=08f7442f-e526-4cd9-af09-980e1d6aa69c","type":"image"},"skills":[348,330,574,18,532],"description":"

Second derivatives f'', using the sign of f'' to determine concavity, locate inflexion points where f''(x)=0 and changes sign, and classify stationary points with the second derivative test.

\n","hasLesson":true}],"description":"

Limits and rates of change, differentiation rules for polynomial, exponential, logarithmic and trigonometric functions, and applications to tangents, normals, stationary points, concavity and optimisation.

\n"},{"id":114,"name":"Integration","slug":"integration","topic":5,"subjects":["AAHL","AASL","AIHL","AISL"],"isVideoReady":true,"videoId":"Ex7Qii1AXn8","concepts":[{"id":450,"name":"Definite Integrals and Basic Anti-Derivatives","slug":"definite-integrals-and-basic-anti-derivatives","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027038579-Artboard%2093.png?alt=media&token=bb418ca4-71b9-42ce-b97d-090a1379edea","type":"image"},"skills":[418,293,294,295,587,581,583,545,584,585,41],"description":"

Concept of an integral, areas with definite integrals, and basic anti-derivative solving skills

\n","hasLesson":true},{"id":425,"name":"Anti-Derivative Rules","slug":"anti-derivative-rules","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027022392-Artboard%2094.png?alt=media&token=67fe5d1c-0469-4131-b445-d19e642ef49d","type":"image"},"skills":[546,422,426,420,1118],"description":"

Antiderivatives of polynomials, trigonometric, inverse trigonometric, exponential, and logarithmic functions

\n","hasLesson":true},{"id":542,"name":"Techniques of Integration","slug":"techniques-of-integration","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027007339-Artboard%2094%20copy.png?alt=media&token=a987c620-4834-46ff-afb4-3aab9c0b265e","type":"image"},"skills":[316,317,588],"description":"

Integration of composite functions using substitution, including integrals of the form f(ax+b), and handling definite integrals by changing the bounds or substituting back.

\n","hasLesson":true},{"id":231,"name":"Kinematics","slug":"kinematics","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757026968679-Artboard%2095.png?alt=media&token=8619b033-cbb4-41e2-b0f2-f691121bf19f","type":"image"},"skills":[311,592,591,500,313,1026],"description":"

Displacement and distance, velocity and acceleration, speed as |v|, average velocity and acceleration as \\Delta s/\\Delta t and \\Delta v/\\Delta t, and the relations v=\\mathrm{d}s/\\mathrm{d}t, a=\\mathrm{d}v/\\mathrm{d}t=\\mathrm{d}^2s/\\mathrm{d}t^2, \\int_{t_1}^{t_2} v(t)\\,\\mathrm{d}t for change in displacement, and \\int_{t_1}^{t_2} |v(t)|\\,\\mathrm{d}t for distance.

\n","hasLesson":true}],"description":"

Integration as reverse differentiation, including basic anti-derivatives, definite integrals, area under and between curves, substitution, and applications to displacement and distance.

\n"},{"id":96,"name":"Probability","slug":"probability","topic":4,"subjects":["AAHL","AASL","AIHL","AISL"],"isVideoReady":true,"videoId":"nTKI6Ze6SxE","concepts":[{"id":145,"name":"Foundations of probability","slug":"foundations-of-probability","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028648442-Artboard%2065.png?alt=media&token=5706f4de-134c-4cf9-b2be-c3b79211ab31","type":"image"},"skills":[701,702,699,700,32,703],"description":"

Theoretical and experimental probability, complementary events, expected number of outcomes, sample space

","hasLesson":true},{"id":154,"name":"Combined Events","slug":"combined-events","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028633410-Artboard%2066.png?alt=media&token=875764d4-1b49-4d32-9717-25ae5901b2f5","type":"image"},"skills":[156,155,157,163,34,33,1117,704],"description":"

Venn diagrams, intersection and union of events, conditional probability, independent events

","hasLesson":true},{"id":707,"name":"Tree Diagrams","slug":"tree-diagrams","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028620712-Artboard%2067.png?alt=media&token=62bf0ee2-5ee0-4524-9d9f-97eea0a4d381","type":"image"},"skills":[708,705],"description":"

Tree diagrams, selection with/without replacement, dependence

","hasLesson":true}],"description":"

Theoretical vs experimental probability, combined events, independence vs dependence.

"},{"id":94,"name":"Descriptive Statistics","slug":"descriptive-statistics","topic":4,"subjects":["AAHL","AASL","AIHL","AISL","ecolint-y11-hl"],"isVideoReady":true,"videoId":"Q6pTmvyBjtY","concepts":[{"id":461,"name":"Population, samples and data","slug":"population-samples-and-data","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028594946-Artboard%2069.png?alt=media&token=c647fb49-123f-411f-96bd-84222ced9a3c","type":"image"},"skills":[663,664,141,668,666,667,468,470,469,471,472,23],"description":"

Understand the basics of population, data collection, and sampling.

","hasLesson":true},{"id":683,"name":"Measures of center","slug":"measures-of-center","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028579941-Artboard%2070.png?alt=media&token=1bf0b1f0-af9c-495e-bcb5-7e57ec2ae2c4","type":"image"},"skills":[121,120,119],"description":"

Learn different ways to measure the \"center,\" or typical values, of a set of data: mean, median, and mode.

","hasLesson":true},{"id":682,"name":"Quartiles, outliers and box plots","slug":"quartiles-outliers-and-box-plots","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028567591-Artboard%2071.png?alt=media&token=289941af-343d-4b68-8b4b-0b2a5f0267f2","type":"image"},"skills":[669,670,733,1037],"description":"

Learn the concept of dispersion, range, IQR, outliers, and box and whisker plots.

","hasLesson":true},{"id":118,"name":"Standard Deviation and Variance","slug":"standard-deviation-and-variance","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028551868-SDVar.png?alt=media&token=91c80f18-8855-40d2-a00b-62b578ab007a","type":"image"},"skills":[672,671],"description":"

Learn about standard deviation and variance, which we use to measure how tightly or loosely clustered the data is around the mean.

\n","hasLesson":true},{"id":126,"name":"Frequency tables and histograms","slug":"frequency-tables-and-histograms","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028166495-Artboard%2072.png?alt=media&token=2d41e78e-b5a6-4558-849d-c5ba24514aef","type":"image"},"skills":[127,673,674],"description":"Visualizing frequency data using tables and histograms.","hasLesson":true},{"id":1004,"name":"Cumulative frequency","slug":"cumulative-frequency","isPaywalled":false,"isPublic":true,"thumbnail":null,"skills":[675,676],"description":"Completing tables of cumulative frequency, and reading cumulative frequency diagrams.","hasLesson":true}],"description":"

Summarizing and interpreting data using measures of centre and spread, frequency tables and graphs, sampling methods, quartiles, IQR, box plots, cumulative frequency, and outlier analysis.

\n"},{"id":3,"name":"Bivariate Statistics","slug":"bivariate-statistics","topic":4,"subjects":["AISL","AIHL","AASL","AAHL"],"isVideoReady":false,"videoId":null,"concepts":[{"id":268,"name":"Linear regression and Pearson's coefficient","slug":"linear-regression-and-pearsons-coefficient","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028135613-Artboard%2074.png?alt=media&token=10413a3d-f49a-4178-a780-37cbede60ac6","type":"image"},"skills":[475,711,712,714,713,476,715],"description":"

Scatter diagrams and lines of best fit y=ax+b, by eye or with GDC, the Pearson correlation coefficient r, and making predictions with awareness of limitations.

\n","hasLesson":true}],"description":"

Correlation and linear regression for paired data, including best fit lines, Pearson's r, predictions from regression models, and the limits of extrapolation.

\n"},{"id":98,"name":"Distributions & Random Variables","slug":"distributions-random-variables","topic":4,"subjects":["AAHL","AIHL","AISL","AASL"],"isVideoReady":true,"videoId":"kFLHW61tj9o","concepts":[{"id":274,"name":"Binomial Distribution","slug":"binomial-distribution","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028018137-Artboard%2075.png?alt=media&token=cb09bf58-c604-4a22-b0a2-acd0f6653970","type":"image"},"skills":[690,691,693,1018,857],"description":"

Concept of the binomial distribution, binomial PDF and CDF, expectation and variance of binomial distribution

","hasLesson":true},{"id":275,"name":"Normal Distribution","slug":"normal-distribution","isPaywalled":true,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757027990196-Artboard%2076.png?alt=media&token=06211191-fa11-4675-a226-3437a57fad92","type":"image"},"skills":[686,685,1024,1046,687,688,689],"description":"

The normal (bell-shaped) distribution X\\sim\\mathrm{N}(\\mu,\\sigma^2), its symmetry about \\mu, z-values z=\\frac{x-\\mu}{\\sigma} and standardization to Z\\sim\\mathrm{N}(0,1), the empirical rule, and calculator-based normal and inverse normal probability calculations.

\n","hasLesson":true},{"id":284,"name":"Discrete random variables","slug":"discrete-random-variables","isPaywalled":false,"isPublic":true,"thumbnail":{"url":"https://firebasestorage.googleapis.com/v0/b/perplex-learning.appspot.com/o/thumbnails%2F1757028049217-Artboard%2074_1.png?alt=media&token=aab272d8-f276-4926-8652-aa1cfc76c0ac","type":"image"},"skills":[678,677,679,279,287,956,957],"description":"Discrete random variables taking a finite set of values, with probability distributions in tables or as expressions where probabilities sum to 1, finding \$E(X)\$ and fair games.","hasLesson":true}],"description":"

Discrete random variables and probability distributions, including expected value and fair games, binomial models and calculator probabilities, and the normal distribution with z-values and standardization.

\n"}],"studySets":[],"assignments":[],"modules":[],"practiceTests":[],"courseSubject":"AASL","nowMs":1791687668704,"isCourseMember":false,"requiresSubjectChoice":false,"showRebrandBanner":false,"chrome":null,"children":"$L45"}]}] 45:["$","$L21",null,{"parallelRouterKey":"children","error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L22",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","forbidden":"$undefined","unauthorized":"$undefined"}]