[{"_1":2,"_358":-5,"_359":-5},"loaderData",{"_3":4,"_31":32},"root",{"_5":6,"_28":29,"_30":-5},"registerModalConfig",{"_7":8,"_15":16},"blockedConfig",{"_9":10,"_15":16,"_17":18,"_21":22,"_24":25},"answerQuestion",{"_11":12,"_13":14},"subtitle","Crie sua conta gratuita e utilize todos os nossos recursos de questões disponiveis","title","Para responder, cadastre-se gratuitamente","customBlockedUI",true,"defaultRegister",{"_11":19,"_13":20},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis","Cadastre-se gratuitamente","imageSearch",{"_11":19,"_13":23},"Para buscar por imagem, cadastre-se gratuitamente","questionAnswer",{"_11":26,"_13":27},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis para responder","Para ver a resposta, cadastre-se gratuitamente","url","https://prouniversitario.com/exercicios/6445b0cd-1940-4f44-858e-619e499c41c8","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_106":107,"_198":199,"_51":270,"_332":333,"_354":355,"_356":357},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":43,"_44":45,"_46":47,"_81":82,"_100":43,"_101":102,"_103":104,"_105":16},"correctOptionId","8c08308b-a3ba-4443-bfc6-5aa27fda2847","difficulty","","id","6445b0cd-1940-4f44-858e-619e499c41c8","metadata",{"_48":49,"_77":78,"_79":80},"pd",{"_50":-5,"_51":52,"_59":60,"_65":66,"_67":68,"_69":16,"_70":71,"_72":16,"_73":74,"_75":76},"area","tags",[53],{"_44":54,"_55":56,"_57":58},863444,"name","Resistência dos Materiais Avançada (ECE06)","alias","resistencia-dos-materiais-avancada-ece-06","subjects",[61],{"_44":62,"_55":63,"_57":64},1663620,"Resistência dos Materiais","resistencia-dos-materiais","materialId","122713360","answerCount",1,"isIndexable","mainSubject",{"_44":62,"_55":63,"_57":64},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","High School","source","PD","externalId","122793547","options",[83,89,93,96],{"_44":84,"_85":86,"_87":88},"c2f227ae-d95c-4cac-9b54-011cd973adaf","label","A","text","Negativo transversal.",{"_44":90,"_85":91,"_87":92},"6d4092ad-5996-4b67-a299-86fe613a6388","B","Positivo.",{"_44":41,"_85":94,"_87":95},"C","Positivo axial.",{"_44":97,"_85":98,"_87":99},"8915b331-e858-47e9-bc71-46ddb25eee04","D","Negativo.","solution_explanation","statement","

Em resistência dos materiais, no tocante da deformação longitudinal, quando uma barra é submetida a um esforço de compressão, há um tipo de alongamento. Com base nesse alongamento, assinale a alternativa:

","status","pending_classification","hasRelatedVideo","relatedVideos",[108],{"_109":110,"_128":129,"_51":144,"_179":180,"_197":145},"content",{"_44":111,"_55":112,"_113":-5,"_114":115,"_116":117,"_118":-5,"_46":119,"_122":123,"_124":123,"_125":-5,"_126":127},"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",{"_120":121},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_130":131,"_137":138,"_139":140,"_141":142,"_28":143},"provider",{"_44":132,"_133":134,"_135":136},"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",[145],{"_44":146,"_55":147,"_57":148,"_149":150,"_151":-5,"_122":152,"_124":152,"_46":153,"_126":148,"_160":161},"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",{"_154":155,"_156":157,"_158":159},"childrenCount",18,"content_count",0,"question_count",135489,"children",[162],{"_44":163,"_55":164,"_57":165,"_149":150,"_151":146,"_122":166,"_124":166,"_46":167,"_126":170,"_160":171},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_154":168,"_156":157,"_158":169},10,19948,"mecanica-2",[172],{"_44":173,"_55":63,"_57":64,"_149":150,"_151":163,"_122":174,"_124":174,"_46":175,"_126":177,"_160":178},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_154":157,"_156":157,"_158":176},3376,"resistencia-dos-materiais-4",[],"video",{"_44":117,"_13":112,"_113":-5,"_181":182,"_183":184,"_28":-5,"_185":-5,"_130":184,"_186":187,"_141":-5,"_188":-5,"_189":-5,"_190":-5,"_191":-5,"_46":192,"_193":157,"_194":-5,"_103":195,"_122":196,"_124":196},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_120":121},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[200,231,249],{"_40":201,"_42":43,"_44":202,"_81":203,"_100":219,"_101":220,"_51":221},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[204,207,210,213,216],{"_44":205,"_85":86,"_87":206},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":208,"_85":91,"_87":209},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":211,"_85":94,"_87":212},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_44":214,"_85":98,"_87":215},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_44":201,"_85":217,"_87":218},"E","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

",[222],{"_44":223,"_55":224,"_57":225,"_149":150,"_151":226,"_122":227,"_124":227,"_46":228,"_126":225},"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",{"_154":229,"_156":157,"_158":230},4,12302,{"_40":232,"_42":43,"_44":233,"_81":234,"_100":246,"_101":247,"_51":248},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[235,238,241,243],{"_44":236,"_85":86,"_87":237},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":239,"_85":91,"_87":240},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":232,"_85":94,"_87":242},"

Verdadeiro, falso, verdadeiro

",{"_44":244,"_85":98,"_87":245},"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?

",[222],{"_40":250,"_42":43,"_44":251,"_81":252,"_100":267,"_101":268,"_51":269},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[253,256,259,261,264],{"_44":254,"_85":86,"_87":255},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":257,"_85":91,"_87":258},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":250,"_85":94,"_87":260},"Indeterminado",{"_44":262,"_85":98,"_87":263},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":265,"_85":217,"_87":266},"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????",[222],[222,271,280,286,290,291,292,300,305,313,314,319,325],{"_44":272,"_55":273,"_57":274,"_149":150,"_151":275,"_122":166,"_124":166,"_46":276,"_126":279},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_154":277,"_156":157,"_158":278},5,30614,"engenharia-mecatronica-1",{"_44":281,"_55":63,"_57":64,"_149":150,"_151":282,"_122":283,"_124":283,"_46":284,"_126":285},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_154":157,"_156":157,"_158":176},"resistencia-dos-materiais-6",{"_44":282,"_55":164,"_57":165,"_149":150,"_151":272,"_122":227,"_124":227,"_46":287,"_126":289},{"_154":277,"_156":157,"_158":288},25741,"mecanica-3",{"_44":146,"_55":147,"_57":148,"_149":150,"_151":-5,"_122":152,"_124":152,"_46":153,"_126":148},{"_44":173,"_55":63,"_57":64,"_149":150,"_151":163,"_122":174,"_124":174,"_46":175,"_126":177},{"_44":293,"_55":294,"_57":295,"_149":150,"_151":275,"_122":166,"_124":166,"_46":296,"_126":299},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_154":297,"_156":157,"_158":298},21,45865,"engenharia-civil-3",{"_44":226,"_55":301,"_57":302,"_149":150,"_151":275,"_122":166,"_124":166,"_46":303,"_126":304},"Engenharia de Petróleo","engenharia-de-petroleo",{"_154":277,"_156":157,"_158":230},"engenharia-de-petroleo-1",{"_44":306,"_55":307,"_57":308,"_149":150,"_151":293,"_122":309,"_124":309,"_46":310,"_126":312},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_154":277,"_156":157,"_158":311},8852,"estruturas-1",{"_44":163,"_55":164,"_57":165,"_149":150,"_151":146,"_122":166,"_124":166,"_46":167,"_126":170},{"_44":315,"_55":63,"_57":64,"_149":150,"_151":223,"_122":316,"_124":316,"_46":317,"_126":318},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_154":157,"_156":157,"_158":176},"resistencia-dos-materiais-7",{"_44":320,"_55":321,"_57":64,"_149":150,"_151":306,"_122":322,"_124":322,"_46":323,"_126":324},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_154":157,"_156":157,"_158":176},"resistencia-dos-materiais-5",{"_44":275,"_55":326,"_57":327,"_149":150,"_151":-5,"_122":328,"_124":328,"_46":329,"_126":327},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_154":330,"_156":157,"_158":331},29,351586,"tagsTree",[145,334],{"_44":275,"_55":326,"_57":327,"_149":150,"_151":-5,"_122":328,"_124":328,"_46":329,"_126":327,"_160":335},[336,342,348],{"_44":272,"_55":273,"_57":274,"_149":150,"_151":275,"_122":166,"_124":166,"_46":276,"_126":279,"_160":337},[338],{"_44":282,"_55":164,"_57":165,"_149":150,"_151":272,"_122":227,"_124":227,"_46":287,"_126":289,"_160":339},[340],{"_44":281,"_55":63,"_57":64,"_149":150,"_151":282,"_122":283,"_124":283,"_46":284,"_126":285,"_160":341},[],{"_44":293,"_55":294,"_57":295,"_149":150,"_151":275,"_122":166,"_124":166,"_46":296,"_126":299,"_160":343},[344],{"_44":306,"_55":307,"_57":308,"_149":150,"_151":293,"_122":309,"_124":309,"_46":310,"_126":312,"_160":345},[346],{"_44":320,"_55":321,"_57":64,"_149":150,"_151":306,"_122":322,"_124":322,"_46":323,"_126":324,"_160":347},[],{"_44":226,"_55":301,"_57":302,"_149":150,"_151":275,"_122":166,"_124":166,"_46":303,"_126":304,"_160":349},[350],{"_44":223,"_55":224,"_57":225,"_149":150,"_151":226,"_122":227,"_124":227,"_46":228,"_126":225,"_160":351},[352],{"_44":315,"_55":63,"_57":64,"_149":150,"_151":223,"_122":316,"_124":316,"_46":317,"_126":318,"_160":353},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários