[{"_1":2,"_388":-5,"_389":-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/8beef778-846a-41ac-99a2-0ae3ebf0eb18?video=true","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_98":99,"_199":200,"_51":276,"_343":344,"_384":385,"_386":387},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":43,"_44":45,"_46":47,"_77":78,"_92":43,"_93":94,"_95":96,"_97":16},"correctOptionId","3193619e-8558-4af0-a5a7-5e0f9e55f313","difficulty","","id","8beef778-846a-41ac-99a2-0ae3ebf0eb18","metadata",{"_48":49,"_73":74,"_75":76},"pd",{"_50":-5,"_51":52,"_53":54,"_61":62,"_63":64,"_65":16,"_66":67,"_68":16,"_69":70,"_71":72},"area","tags",[],"subjects",[55],{"_44":56,"_57":58,"_59":60},1663620,"name","Resistência dos Materiais","alias","resistencia-dos-materiais","materialId","120292800","answerCount",1,"isIndexable","mainSubject",{"_44":56,"_57":58,"_59":60},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","High School","source","PD","externalId","138569488","options",[79,85,88],{"_44":80,"_81":82,"_83":84},"cf5fd6c8-2e4a-457c-988e-c1c45abfe7ae","label","A","text","

Mecanismos de proteção, entrada e processamento.

",{"_44":41,"_81":86,"_83":87},"B","

Mecanismos de entrada, processamento, memória e saída.

",{"_44":89,"_81":90,"_83":91},"7bc0e69d-d892-4c2a-9e56-dd5f447e0f67","C","

Mecanismos de memória, proteção, rede e saída.

","solution_explanation","statement","

Mencione a estrutura geral compartilhada por todos os tipos de computadores:

","status","pending_classification","hasRelatedVideo","relatedVideos",[100],{"_101":102,"_120":121,"_51":136,"_171":172,"_189":190},"content",{"_44":103,"_57":104,"_105":-5,"_106":107,"_108":109,"_110":-5,"_46":111,"_114":115,"_116":115,"_117":-5,"_118":119},"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",{"_112":113},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_122":123,"_129":130,"_131":132,"_133":134,"_28":135},"provider",{"_44":124,"_125":126,"_127":128},"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",[137],{"_44":138,"_57":139,"_59":140,"_141":142,"_143":-5,"_114":144,"_116":144,"_46":145,"_118":140,"_152":153},"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",{"_146":147,"_148":149,"_150":151},"childrenCount",18,"content_count",0,"question_count",135489,"children",[154],{"_44":155,"_57":156,"_59":157,"_141":142,"_143":138,"_114":158,"_116":158,"_46":159,"_118":162,"_152":163},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_146":160,"_148":149,"_150":161},10,19948,"mecanica-2",[164],{"_44":165,"_57":58,"_59":60,"_141":142,"_143":155,"_114":166,"_116":166,"_46":167,"_118":169,"_152":170},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_146":149,"_148":149,"_150":168},3376,"resistencia-dos-materiais-4",[],"video",{"_44":109,"_13":104,"_105":-5,"_173":174,"_175":176,"_28":-5,"_177":-5,"_122":176,"_178":179,"_133":-5,"_180":-5,"_181":-5,"_182":-5,"_183":-5,"_46":184,"_185":149,"_186":-5,"_95":187,"_114":188,"_116":188},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_112":113},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_44":138,"_57":139,"_59":140,"_141":142,"_143":-5,"_114":144,"_116":144,"_46":191,"_118":140,"_152":192},{"_146":147,"_148":149,"_150":151},[193],{"_44":155,"_57":156,"_59":157,"_141":142,"_143":138,"_114":158,"_116":158,"_46":194,"_118":162,"_152":195},{"_146":160,"_148":149,"_150":161},[196],{"_44":165,"_57":58,"_59":60,"_141":142,"_143":155,"_114":166,"_116":166,"_46":197,"_118":169,"_152":198},{"_146":149,"_148":149,"_150":168},[],"similarQuestions",[201,233,253],{"_40":202,"_42":43,"_44":203,"_77":204,"_92":221,"_93":222,"_51":223},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[205,208,211,214,218],{"_44":206,"_81":82,"_83":207},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":209,"_81":86,"_83":210},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":212,"_81":90,"_83":213},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_44":215,"_81":216,"_83":217},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_44":202,"_81":219,"_83":220},"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

",[224],{"_44":225,"_57":226,"_59":227,"_141":142,"_143":228,"_114":229,"_116":229,"_46":230,"_118":227},"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",{"_146":231,"_148":149,"_150":232},4,12302,{"_40":234,"_42":43,"_44":235,"_77":236,"_92":248,"_93":249,"_51":250},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[237,240,243,245],{"_44":238,"_81":82,"_83":239},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":241,"_81":86,"_83":242},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":234,"_81":90,"_83":244},"

Verdadeiro, falso, verdadeiro

",{"_44":246,"_81":216,"_83":247},"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?

",[251],{"_44":225,"_57":226,"_59":227,"_141":142,"_143":228,"_114":229,"_116":229,"_46":252,"_118":227},{"_146":231,"_148":149,"_150":232},{"_40":254,"_42":43,"_44":255,"_77":256,"_92":271,"_93":272,"_51":273},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[257,260,263,265,268],{"_44":258,"_81":82,"_83":259},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":261,"_81":86,"_83":262},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":254,"_81":90,"_83":264},"Indeterminado",{"_44":266,"_81":216,"_83":267},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":269,"_81":219,"_83":270},"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????",[274],{"_44":225,"_57":226,"_59":227,"_141":142,"_143":228,"_114":229,"_116":229,"_46":275,"_118":227},{"_146":231,"_148":149,"_150":232},[277,279,288,294,298,300,302,310,315,323,325,330,336],{"_44":225,"_57":226,"_59":227,"_141":142,"_143":228,"_114":229,"_116":229,"_46":278,"_118":227},{"_146":231,"_148":149,"_150":232},{"_44":280,"_57":281,"_59":282,"_141":142,"_143":283,"_114":158,"_116":158,"_46":284,"_118":287},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_146":285,"_148":149,"_150":286},5,30614,"engenharia-mecatronica-1",{"_44":289,"_57":58,"_59":60,"_141":142,"_143":290,"_114":291,"_116":291,"_46":292,"_118":293},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_146":149,"_148":149,"_150":168},"resistencia-dos-materiais-6",{"_44":290,"_57":156,"_59":157,"_141":142,"_143":280,"_114":229,"_116":229,"_46":295,"_118":297},{"_146":285,"_148":149,"_150":296},25741,"mecanica-3",{"_44":138,"_57":139,"_59":140,"_141":142,"_143":-5,"_114":144,"_116":144,"_46":299,"_118":140},{"_146":147,"_148":149,"_150":151},{"_44":165,"_57":58,"_59":60,"_141":142,"_143":155,"_114":166,"_116":166,"_46":301,"_118":169},{"_146":149,"_148":149,"_150":168},{"_44":303,"_57":304,"_59":305,"_141":142,"_143":283,"_114":158,"_116":158,"_46":306,"_118":309},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_146":307,"_148":149,"_150":308},21,45865,"engenharia-civil-3",{"_44":228,"_57":311,"_59":312,"_141":142,"_143":283,"_114":158,"_116":158,"_46":313,"_118":314},"Engenharia de Petróleo","engenharia-de-petroleo",{"_146":285,"_148":149,"_150":232},"engenharia-de-petroleo-1",{"_44":316,"_57":317,"_59":318,"_141":142,"_143":303,"_114":319,"_116":319,"_46":320,"_118":322},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_146":285,"_148":149,"_150":321},8852,"estruturas-1",{"_44":155,"_57":156,"_59":157,"_141":142,"_143":138,"_114":158,"_116":158,"_46":324,"_118":162},{"_146":160,"_148":149,"_150":161},{"_44":326,"_57":58,"_59":60,"_141":142,"_143":225,"_114":327,"_116":327,"_46":328,"_118":329},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_146":149,"_148":149,"_150":168},"resistencia-dos-materiais-7",{"_44":331,"_57":332,"_59":60,"_141":142,"_143":316,"_114":333,"_116":333,"_46":334,"_118":335},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_146":149,"_148":149,"_150":168},"resistencia-dos-materiais-5",{"_44":283,"_57":337,"_59":338,"_141":142,"_143":-5,"_114":339,"_116":339,"_46":340,"_118":338},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_146":341,"_148":149,"_150":342},29,351586,"tagsTree",[345,354],{"_44":138,"_57":139,"_59":140,"_141":142,"_143":-5,"_114":144,"_116":144,"_46":346,"_118":140,"_152":347},{"_146":147,"_148":149,"_150":151},[348],{"_44":155,"_57":156,"_59":157,"_141":142,"_143":138,"_114":158,"_116":158,"_46":349,"_118":162,"_152":350},{"_146":160,"_148":149,"_150":161},[351],{"_44":165,"_57":58,"_59":60,"_141":142,"_143":155,"_114":166,"_116":166,"_46":352,"_118":169,"_152":353},{"_146":149,"_148":149,"_150":168},[],{"_44":283,"_57":337,"_59":338,"_141":142,"_143":-5,"_114":339,"_116":339,"_46":355,"_118":338,"_152":356},{"_146":341,"_148":149,"_150":342},[357,366,375],{"_44":280,"_57":281,"_59":282,"_141":142,"_143":283,"_114":158,"_116":158,"_46":358,"_118":287,"_152":359},{"_146":285,"_148":149,"_150":286},[360],{"_44":290,"_57":156,"_59":157,"_141":142,"_143":280,"_114":229,"_116":229,"_46":361,"_118":297,"_152":362},{"_146":285,"_148":149,"_150":296},[363],{"_44":289,"_57":58,"_59":60,"_141":142,"_143":290,"_114":291,"_116":291,"_46":364,"_118":293,"_152":365},{"_146":149,"_148":149,"_150":168},[],{"_44":303,"_57":304,"_59":305,"_141":142,"_143":283,"_114":158,"_116":158,"_46":367,"_118":309,"_152":368},{"_146":307,"_148":149,"_150":308},[369],{"_44":316,"_57":317,"_59":318,"_141":142,"_143":303,"_114":319,"_116":319,"_46":370,"_118":322,"_152":371},{"_146":285,"_148":149,"_150":321},[372],{"_44":331,"_57":332,"_59":60,"_141":142,"_143":316,"_114":333,"_116":333,"_46":373,"_118":335,"_152":374},{"_146":149,"_148":149,"_150":168},[],{"_44":228,"_57":311,"_59":312,"_141":142,"_143":283,"_114":158,"_116":158,"_46":376,"_118":314,"_152":377},{"_146":285,"_148":149,"_150":232},[378],{"_44":225,"_57":226,"_59":227,"_141":142,"_143":228,"_114":229,"_116":229,"_46":379,"_118":227,"_152":380},{"_146":231,"_148":149,"_150":232},[381],{"_44":326,"_57":58,"_59":60,"_141":142,"_143":225,"_114":327,"_116":327,"_46":382,"_118":329,"_152":383},{"_146":149,"_148":149,"_150":168},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários