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Determine a localização do centroide da área da seção reta da viga. Despreze as dimensões das soldas quinas em A e B.","status","pending_classification","hasRelatedVideo","relatedVideos",[116],{"_117":118,"_136":137,"_50":152,"_187":188,"_205":153},"content",{"_43":119,"_54":120,"_121":-5,"_122":123,"_124":125,"_126":-5,"_45":127,"_130":131,"_132":131,"_133":-5,"_134":135},"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",{"_128":129},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_138":139,"_145":146,"_147":148,"_149":150,"_28":151},"provider",{"_43":140,"_141":142,"_143":144},"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",[153],{"_43":154,"_54":155,"_56":156,"_157":158,"_159":-5,"_130":160,"_132":160,"_45":161,"_134":156,"_168":169},"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",{"_162":163,"_164":165,"_166":167},"childrenCount",18,"content_count",0,"question_count",135489,"children",[170],{"_43":171,"_54":172,"_56":173,"_157":158,"_159":154,"_130":174,"_132":174,"_45":175,"_134":178,"_168":179},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_162":176,"_164":165,"_166":177},10,19948,"mecanica-2",[180],{"_43":181,"_54":66,"_56":67,"_157":158,"_159":171,"_130":182,"_132":182,"_45":183,"_134":185,"_168":186},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_162":165,"_164":165,"_166":184},3376,"resistencia-dos-materiais-4",[],"video",{"_43":125,"_13":120,"_121":-5,"_189":190,"_191":192,"_28":-5,"_193":-5,"_138":192,"_194":195,"_149":-5,"_196":-5,"_197":-5,"_198":-5,"_199":-5,"_45":200,"_201":165,"_202":-5,"_111":203,"_130":204,"_132":204},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_128":129},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[208,238,256],{"_40":209,"_42":41,"_43":210,"_84":211,"_108":226,"_109":227,"_50":228},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[212,215,218,221,224],{"_43":213,"_88":89,"_90":214},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":216,"_88":94,"_90":217},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":219,"_88":98,"_90":220},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":222,"_88":102,"_90":223},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":209,"_88":106,"_90":225},"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

",[229],{"_43":230,"_54":231,"_56":232,"_157":158,"_159":233,"_130":234,"_132":234,"_45":235,"_134":232},"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",{"_162":236,"_164":165,"_166":237},4,12302,{"_40":239,"_42":41,"_43":240,"_84":241,"_108":253,"_109":254,"_50":255},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[242,245,248,250],{"_43":243,"_88":89,"_90":244},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":246,"_88":94,"_90":247},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":239,"_88":98,"_90":249},"

Verdadeiro, falso, verdadeiro

",{"_43":251,"_88":102,"_90":252},"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?

",[229],{"_40":257,"_42":41,"_43":258,"_84":259,"_108":274,"_109":275,"_50":276},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[260,263,266,268,271],{"_43":261,"_88":89,"_90":262},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_43":264,"_88":94,"_90":265},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_43":257,"_88":98,"_90":267},"Indeterminado",{"_43":269,"_88":102,"_90":270},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_43":272,"_88":106,"_90":273},"2e06d948-d37e-4350-afc7-ced04941bcaf","Nenhum","Os polinômios e números fornecidos estão corrompidos (símbolos “????”), impossibilitando aplicar Ruffini e concluir se são raízes. Sem dados completos, o problema é indeterminado.","Emplea la regla de Ruffini para dictaminar si los siguientes números son o no raíces de los polinomios citados:
a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[229],[229,278,287,293,297,298,299,307,312,320,321,326,332],{"_43":279,"_54":280,"_56":281,"_157":158,"_159":282,"_130":174,"_132":174,"_45":283,"_134":286},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_162":284,"_164":165,"_166":285},5,30614,"engenharia-mecatronica-1",{"_43":288,"_54":66,"_56":67,"_157":158,"_159":289,"_130":290,"_132":290,"_45":291,"_134":292},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_162":165,"_164":165,"_166":184},"resistencia-dos-materiais-6",{"_43":289,"_54":172,"_56":173,"_157":158,"_159":279,"_130":234,"_132":234,"_45":294,"_134":296},{"_162":284,"_164":165,"_166":295},25741,"mecanica-3",{"_43":154,"_54":155,"_56":156,"_157":158,"_159":-5,"_130":160,"_132":160,"_45":161,"_134":156},{"_43":181,"_54":66,"_56":67,"_157":158,"_159":171,"_130":182,"_132":182,"_45":183,"_134":185},{"_43":300,"_54":301,"_56":302,"_157":158,"_159":282,"_130":174,"_132":174,"_45":303,"_134":306},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_162":304,"_164":165,"_166":305},21,45865,"engenharia-civil-3",{"_43":233,"_54":308,"_56":309,"_157":158,"_159":282,"_130":174,"_132":174,"_45":310,"_134":311},"Engenharia de Petróleo","engenharia-de-petroleo",{"_162":284,"_164":165,"_166":237},"engenharia-de-petroleo-1",{"_43":313,"_54":314,"_56":315,"_157":158,"_159":300,"_130":316,"_132":316,"_45":317,"_134":319},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_162":284,"_164":165,"_166":318},8852,"estruturas-1",{"_43":171,"_54":172,"_56":173,"_157":158,"_159":154,"_130":174,"_132":174,"_45":175,"_134":178},{"_43":322,"_54":66,"_56":67,"_157":158,"_159":230,"_130":323,"_132":323,"_45":324,"_134":325},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_162":165,"_164":165,"_166":184},"resistencia-dos-materiais-7",{"_43":327,"_54":328,"_56":67,"_157":158,"_159":313,"_130":329,"_132":329,"_45":330,"_134":331},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_162":165,"_164":165,"_166":184},"resistencia-dos-materiais-5",{"_43":282,"_54":333,"_56":334,"_157":158,"_159":-5,"_130":335,"_132":335,"_45":336,"_134":334},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_162":337,"_164":165,"_166":338},29,351586,"tagsTree",[153,341],{"_43":282,"_54":333,"_56":334,"_157":158,"_159":-5,"_130":335,"_132":335,"_45":336,"_134":334,"_168":342},[343,349,355],{"_43":279,"_54":280,"_56":281,"_157":158,"_159":282,"_130":174,"_132":174,"_45":283,"_134":286,"_168":344},[345],{"_43":289,"_54":172,"_56":173,"_157":158,"_159":279,"_130":234,"_132":234,"_45":294,"_134":296,"_168":346},[347],{"_43":288,"_54":66,"_56":67,"_157":158,"_159":289,"_130":290,"_132":290,"_45":291,"_134":292,"_168":348},[],{"_43":300,"_54":301,"_56":302,"_157":158,"_159":282,"_130":174,"_132":174,"_45":303,"_134":306,"_168":350},[351],{"_43":313,"_54":314,"_56":315,"_157":158,"_159":300,"_130":316,"_132":316,"_45":317,"_134":319,"_168":352},[353],{"_43":327,"_54":328,"_56":67,"_157":158,"_159":313,"_130":329,"_132":329,"_45":330,"_134":331,"_168":354},[],{"_43":233,"_54":308,"_56":309,"_157":158,"_159":282,"_130":174,"_132":174,"_45":310,"_134":311,"_168":356},[357],{"_43":230,"_54":231,"_56":232,"_157":158,"_159":233,"_130":234,"_132":234,"_45":235,"_134":232,"_168":358},[359],{"_43":322,"_54":66,"_56":67,"_157":158,"_159":230,"_130":323,"_132":323,"_45":324,"_134":325,"_168":360},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários