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Com base nos diagramas tensão-deformação do ferro puro e de três diferentes tipos de aço, qual material apresenta o maior módulo de elasticidade?

","status","pending_classification","hasRelatedVideo","relatedVideos",[135],{"_136":137,"_155":156,"_50":171,"_206":207,"_224":225},"content",{"_43":138,"_54":139,"_140":-5,"_141":142,"_143":144,"_145":-5,"_45":146,"_149":150,"_151":150,"_152":-5,"_153":154},"468e3e62-35e0-47be-a15f-68dd43bb32bb","Óptica Geométrica - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","fa6aaf42-4cc4-4d76-8915-7a67081f7e9a","user_id",{"_147":148},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_157":158,"_164":165,"_166":167,"_168":169,"_28":170},"provider",{"_43":159,"_160":161,"_162":163},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","d80487a0-0f98-42c8-99bb-551165ba3068","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/levels.m3u8",[172],{"_43":173,"_54":174,"_56":175,"_176":177,"_178":-5,"_149":179,"_151":179,"_45":180,"_153":175,"_187":188},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","2025-04-29T01:56:45.284172+00:00",{"_181":182,"_183":184,"_185":186},"childrenCount",18,"content_count",0,"question_count",135489,"children",[189],{"_43":190,"_54":191,"_56":192,"_176":177,"_178":173,"_149":193,"_151":193,"_45":194,"_153":197,"_187":198},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_181":195,"_183":184,"_185":196},10,19948,"mecanica-2",[199],{"_43":200,"_54":86,"_56":61,"_176":177,"_178":190,"_149":201,"_151":201,"_45":202,"_153":204,"_187":205},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_181":184,"_183":184,"_185":203},3376,"resistencia-dos-materiais-4",[],"video",{"_43":144,"_13":139,"_140":-5,"_208":209,"_210":211,"_28":-5,"_212":-5,"_157":211,"_213":214,"_168":-5,"_215":-5,"_216":-5,"_217":-5,"_218":-5,"_45":219,"_220":184,"_221":-5,"_130":222,"_149":223,"_151":223},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_147":148},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_43":173,"_54":174,"_56":175,"_176":177,"_178":-5,"_149":179,"_151":179,"_45":226,"_153":175,"_187":227},{"_181":182,"_183":184,"_185":186},[228],{"_43":190,"_54":191,"_56":192,"_176":177,"_178":173,"_149":193,"_151":193,"_45":229,"_153":197,"_187":230},{"_181":195,"_183":184,"_185":196},[231],{"_43":200,"_54":86,"_56":61,"_176":177,"_178":190,"_149":201,"_151":201,"_45":232,"_153":204,"_187":233},{"_181":184,"_183":184,"_185":203},[],"similarQuestions",[236,266,286],{"_40":237,"_42":41,"_43":238,"_103":239,"_127":254,"_128":255,"_50":256},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[240,243,246,249,252],{"_43":241,"_107":108,"_109":242},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":244,"_107":113,"_109":245},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":247,"_107":117,"_109":248},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":250,"_107":121,"_109":251},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":237,"_107":125,"_109":253},"y'' - 2y' + 6y = 0","Somente em y''−2y'+6y=0 o polinômio característico r²−2r+6=0 tem Δ<0, gerando raízes complexas conjugadas (1±i√5) e, portanto, solução em termos de exponencial modulando seno e cosseno. Nos demais itens (a–d) o discriminante é ≥0, produzindo raízes reais (distintas ou repetidas).","

Resolva as seguintes EDOs determinando a solução geral e, quando houver condições iniciais do PVI, a solução particular.

(a) y'' + 2y' - 3y = 0

(b) 6y'' - y' - y = 0

(d) 9y'' + 6y' + y = 0

(e) y'' - 2y' + 6y = 0

(f) 4y'' + 9y = 0

(g) 6y'' - 5y' + y = 0; \\, y(0) = 4; \\, y'(0) = 0

(h) y'' + 4y' + 4y = 0; \\, y(-1) = 2; \\, y'(-1) = 1

(i) y'' + y = 0; \\, y\bigg(\\frac{\\pi}{3}\\bigg) = 2; \\, y'\\bigg(\\frac{\\pi}{3}\\bigg) = -4

(j) y'' - 2y' - 3y = 3e^{2t}

(k) y'' + 9y = t^2 e^{3t} + 6

(l) 2y'' + 3y' + y = t^2 + 3 \\sin(t)

(m) y'' + y' - 2y = 2t; \\, y(0) = 0; \\, y'(0) = 1

(n) y'' - 2y' + y = te^t + 4; \\, y(0) = 1; \\, y'(0) = 1

(o) y'' + 4y = 3 \\sin(2t); \\, y(0) = 2; \\, y'(0) = -1

",[257],{"_43":258,"_54":259,"_56":260,"_176":177,"_178":261,"_149":262,"_151":262,"_45":263,"_153":260},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_181":264,"_183":184,"_185":265},4,12302,{"_40":267,"_42":41,"_43":268,"_103":269,"_127":281,"_128":282,"_50":283},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[270,273,276,278],{"_43":271,"_107":108,"_109":272},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":274,"_107":113,"_109":275},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":267,"_107":117,"_109":277},"

Verdadeiro, falso, verdadeiro

",{"_43":279,"_107":121,"_109":280},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[307],{"_43":258,"_54":259,"_56":260,"_176":177,"_178":261,"_149":262,"_151":262,"_45":308,"_153":260},{"_181":264,"_183":184,"_185":265},[310,312,321,327,331,333,335,343,348,356,358,363,369],{"_43":258,"_54":259,"_56":260,"_176":177,"_178":261,"_149":262,"_151":262,"_45":311,"_153":260},{"_181":264,"_183":184,"_185":265},{"_43":313,"_54":314,"_56":315,"_176":177,"_178":316,"_149":193,"_151":193,"_45":317,"_153":320},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_181":318,"_183":184,"_185":319},5,30614,"engenharia-mecatronica-1",{"_43":322,"_54":86,"_56":61,"_176":177,"_178":323,"_149":324,"_151":324,"_45":325,"_153":326},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_181":184,"_183":184,"_185":203},"resistencia-dos-materiais-6",{"_43":323,"_54":191,"_56":192,"_176":177,"_178":313,"_149":262,"_151":262,"_45":328,"_153":330},{"_181":318,"_183":184,"_185":329},25741,"mecanica-3",{"_43":173,"_54":174,"_56":175,"_176":177,"_178":-5,"_149":179,"_151":179,"_45":332,"_153":175},{"_181":182,"_183":184,"_185":186},{"_43":200,"_54":86,"_56":61,"_176":177,"_178":190,"_149":201,"_151":201,"_45":334,"_153":204},{"_181":184,"_183":184,"_185":203},{"_43":336,"_54":337,"_56":338,"_176":177,"_178":316,"_149":193,"_151":193,"_45":339,"_153":342},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_181":340,"_183":184,"_185":341},21,45865,"engenharia-civil-3",{"_43":261,"_54":344,"_56":345,"_176":177,"_178":316,"_149":193,"_151":193,"_45":346,"_153":347},"Engenharia de Petróleo","engenharia-de-petroleo",{"_181":318,"_183":184,"_185":265},"engenharia-de-petroleo-1",{"_43":349,"_54":350,"_56":351,"_176":177,"_178":336,"_149":352,"_151":352,"_45":353,"_153":355},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_181":318,"_183":184,"_185":354},8852,"estruturas-1",{"_43":190,"_54":191,"_56":192,"_176":177,"_178":173,"_149":193,"_151":193,"_45":357,"_153":197},{"_181":195,"_183":184,"_185":196},{"_43":359,"_54":86,"_56":61,"_176":177,"_178":258,"_149":360,"_151":360,"_45":361,"_153":362},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_181":184,"_183":184,"_185":203},"resistencia-dos-materiais-7",{"_43":364,"_54":365,"_56":61,"_176":177,"_178":349,"_149":366,"_151":366,"_45":367,"_153":368},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_181":184,"_183":184,"_185":203},"resistencia-dos-materiais-5",{"_43":316,"_54":370,"_56":371,"_176":177,"_178":-5,"_149":372,"_151":372,"_45":373,"_153":371},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_181":374,"_183":184,"_185":375},29,351586,"tagsTree",[378,387],{"_43":173,"_54":174,"_56":175,"_176":177,"_178":-5,"_149":179,"_151":179,"_45":379,"_153":175,"_187":380},{"_181":182,"_183":184,"_185":186},[381],{"_43":190,"_54":191,"_56":192,"_176":177,"_178":173,"_149":193,"_151":193,"_45":382,"_153":197,"_187":383},{"_181":195,"_183":184,"_185":196},[384],{"_43":200,"_54":86,"_56":61,"_176":177,"_178":190,"_149":201,"_151":201,"_45":385,"_153":204,"_187":386},{"_181":184,"_183":184,"_185":203},[],{"_43":316,"_54":370,"_56":371,"_176":177,"_178":-5,"_149":372,"_151":372,"_45":388,"_153":371,"_187":389},{"_181":374,"_183":184,"_185":375},[390,399,408],{"_43":313,"_54":314,"_56":315,"_176":177,"_178":316,"_149":193,"_151":193,"_45":391,"_153":320,"_187":392},{"_181":318,"_183":184,"_185":319},[393],{"_43":323,"_54":191,"_56":192,"_176":177,"_178":313,"_149":262,"_151":262,"_45":394,"_153":330,"_187":395},{"_181":318,"_183":184,"_185":329},[396],{"_43":322,"_54":86,"_56":61,"_176":177,"_178":323,"_149":324,"_151":324,"_45":397,"_153":326,"_187":398},{"_181":184,"_183":184,"_185":203},[],{"_43":336,"_54":337,"_56":338,"_176":177,"_178":316,"_149":193,"_151":193,"_45":400,"_153":342,"_187":401},{"_181":340,"_183":184,"_185":341},[402],{"_43":349,"_54":350,"_56":351,"_176":177,"_178":336,"_149":352,"_151":352,"_45":403,"_153":355,"_187":404},{"_181":318,"_183":184,"_185":354},[405],{"_43":364,"_54":365,"_56":61,"_176":177,"_178":349,"_149":366,"_151":366,"_45":406,"_153":368,"_187":407},{"_181":184,"_183":184,"_185":203},[],{"_43":261,"_54":344,"_56":345,"_176":177,"_178":316,"_149":193,"_151":193,"_45":409,"_153":347,"_187":410},{"_181":318,"_183":184,"_185":265},[411],{"_43":258,"_54":259,"_56":260,"_176":177,"_178":261,"_149":262,"_151":262,"_45":412,"_153":260,"_187":413},{"_181":264,"_183":184,"_185":265},[414],{"_43":359,"_54":86,"_56":61,"_176":177,"_178":258,"_149":360,"_151":360,"_45":415,"_153":362,"_187":416},{"_181":184,"_183":184,"_185":203},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários