[{"_1":2,"_394":-5,"_395":-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/a7ee1b89-9852-4d34-b60f-89bd5deca4b2","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_107":108,"_207":208,"_52":282,"_349":350,"_390":391,"_392":393},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":43,"_44":45,"_46":47,"_78":79,"_101":43,"_102":103,"_104":105,"_106":16},"correctOptionId","c082a811-d584-4d11-af68-34506b009e49","difficulty","","id","a7ee1b89-9852-4d34-b60f-89bd5deca4b2","metadata",{"_48":49,"_74":75,"_76":77},"pd",{"_50":51,"_52":53,"_54":55,"_62":63,"_64":65,"_66":16,"_67":68,"_69":16,"_70":71,"_72":73},"area","Exatas","tags",[],"subjects",[56],{"_44":57,"_58":59,"_60":61},1663620,"name","Resistência dos Materiais","alias","resistencia-dos-materiais","materialId","135561004","answerCount",1,"isIndexable","mainSubject",{"_44":57,"_58":59,"_60":61},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","Graduate","source","PD","externalId","134811919","options",[80,85,89,93,97],{"_44":41,"_81":82,"_83":84},"label","A","text","

Condução assimétrica.

",{"_44":86,"_81":87,"_83":88},"dc53f0a7-ef00-4dbb-8316-96b1abcecc1f","B","

Condução simétrica.

",{"_44":90,"_81":91,"_83":92},"b7e0ed2f-c326-4ca7-9080-5465056123bb","C","

Resistência distribuída.

",{"_44":94,"_81":95,"_83":96},"4270eeb6-e17a-41a8-9cb6-25679dbf99f2","D","

Capacitância parasítica.

",{"_44":98,"_81":99,"_83":100},"21f44123-d098-40c2-88a5-6f5db5f8af17","E","

Reatância indutiva.

","solution_explanation","statement","

Sobre a operação dos diodos de estado sólido, em qual propriedade dos materiais semicondutores está a sua operação?

","status","pending_classification","hasRelatedVideo","relatedVideos",[109],{"_110":111,"_129":130,"_52":145,"_179":180,"_197":198},"content",{"_44":112,"_58":113,"_114":-5,"_115":116,"_117":118,"_119":-5,"_46":120,"_123":124,"_125":124,"_126":-5,"_127":128},"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",{"_121":122},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_131":132,"_138":139,"_140":141,"_142":143,"_28":144},"provider",{"_44":133,"_134":135,"_136":137},"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",[146],{"_44":147,"_58":51,"_60":148,"_149":150,"_151":-5,"_123":152,"_125":152,"_46":153,"_127":148,"_160":161},"9772e958-72c6-4499-ad47-877cf94d670d","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,"_58":164,"_60":165,"_149":150,"_151":147,"_123":166,"_125":166,"_46":167,"_127":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,"_58":59,"_60":61,"_149":150,"_151":163,"_123":174,"_125":174,"_46":175,"_127":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":118,"_13":113,"_114":-5,"_181":182,"_183":184,"_28":-5,"_185":-5,"_131":184,"_186":187,"_142":-5,"_188":-5,"_189":-5,"_190":-5,"_191":-5,"_46":192,"_193":157,"_194":-5,"_104":195,"_123":196,"_125":196},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_121":122},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_44":147,"_58":51,"_60":148,"_149":150,"_151":-5,"_123":152,"_125":152,"_46":199,"_127":148,"_160":200},{"_154":155,"_156":157,"_158":159},[201],{"_44":163,"_58":164,"_60":165,"_149":150,"_151":147,"_123":166,"_125":166,"_46":202,"_127":170,"_160":203},{"_154":168,"_156":157,"_158":169},[204],{"_44":173,"_58":59,"_60":61,"_149":150,"_151":163,"_123":174,"_125":174,"_46":205,"_127":177,"_160":206},{"_154":157,"_156":157,"_158":176},[],"similarQuestions",[209,239,259],{"_40":210,"_42":43,"_44":211,"_78":212,"_101":227,"_102":228,"_52":229},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[213,216,219,222,225],{"_44":214,"_81":82,"_83":215},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":217,"_81":87,"_83":218},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":220,"_81":91,"_83":221},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_44":223,"_81":95,"_83":224},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_44":210,"_81":99,"_83":226},"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

",[230],{"_44":231,"_58":232,"_60":233,"_149":150,"_151":234,"_123":235,"_125":235,"_46":236,"_127":233},"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":237,"_156":157,"_158":238},4,12302,{"_40":240,"_42":43,"_44":241,"_78":242,"_101":254,"_102":255,"_52":256},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[243,246,249,251],{"_44":244,"_81":82,"_83":245},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":247,"_81":87,"_83":248},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":240,"_81":91,"_83":250},"

Verdadeiro, falso, verdadeiro

",{"_44":252,"_81":95,"_83":253},"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?

",[257],{"_44":231,"_58":232,"_60":233,"_149":150,"_151":234,"_123":235,"_125":235,"_46":258,"_127":233},{"_154":237,"_156":157,"_158":238},{"_40":260,"_42":43,"_44":261,"_78":262,"_101":277,"_102":278,"_52":279},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[263,266,269,271,274],{"_44":264,"_81":82,"_83":265},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":267,"_81":87,"_83":268},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":260,"_81":91,"_83":270},"Indeterminado",{"_44":272,"_81":95,"_83":273},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":275,"_81":99,"_83":276},"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????",[280],{"_44":231,"_58":232,"_60":233,"_149":150,"_151":234,"_123":235,"_125":235,"_46":281,"_127":233},{"_154":237,"_156":157,"_158":238},[283,285,294,300,304,306,308,316,321,329,331,336,342],{"_44":231,"_58":232,"_60":233,"_149":150,"_151":234,"_123":235,"_125":235,"_46":284,"_127":233},{"_154":237,"_156":157,"_158":238},{"_44":286,"_58":287,"_60":288,"_149":150,"_151":289,"_123":166,"_125":166,"_46":290,"_127":293},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_154":291,"_156":157,"_158":292},5,30614,"engenharia-mecatronica-1",{"_44":295,"_58":59,"_60":61,"_149":150,"_151":296,"_123":297,"_125":297,"_46":298,"_127":299},"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":296,"_58":164,"_60":165,"_149":150,"_151":286,"_123":235,"_125":235,"_46":301,"_127":303},{"_154":291,"_156":157,"_158":302},25741,"mecanica-3",{"_44":147,"_58":51,"_60":148,"_149":150,"_151":-5,"_123":152,"_125":152,"_46":305,"_127":148},{"_154":155,"_156":157,"_158":159},{"_44":173,"_58":59,"_60":61,"_149":150,"_151":163,"_123":174,"_125":174,"_46":307,"_127":177},{"_154":157,"_156":157,"_158":176},{"_44":309,"_58":310,"_60":311,"_149":150,"_151":289,"_123":166,"_125":166,"_46":312,"_127":315},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_154":313,"_156":157,"_158":314},21,45865,"engenharia-civil-3",{"_44":234,"_58":317,"_60":318,"_149":150,"_151":289,"_123":166,"_125":166,"_46":319,"_127":320},"Engenharia de Petróleo","engenharia-de-petroleo",{"_154":291,"_156":157,"_158":238},"engenharia-de-petroleo-1",{"_44":322,"_58":323,"_60":324,"_149":150,"_151":309,"_123":325,"_125":325,"_46":326,"_127":328},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_154":291,"_156":157,"_158":327},8852,"estruturas-1",{"_44":163,"_58":164,"_60":165,"_149":150,"_151":147,"_123":166,"_125":166,"_46":330,"_127":170},{"_154":168,"_156":157,"_158":169},{"_44":332,"_58":59,"_60":61,"_149":150,"_151":231,"_123":333,"_125":333,"_46":334,"_127":335},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_154":157,"_156":157,"_158":176},"resistencia-dos-materiais-7",{"_44":337,"_58":338,"_60":61,"_149":150,"_151":322,"_123":339,"_125":339,"_46":340,"_127":341},"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":289,"_58":343,"_60":344,"_149":150,"_151":-5,"_123":345,"_125":345,"_46":346,"_127":344},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_154":347,"_156":157,"_158":348},29,351586,"tagsTree",[351,360],{"_44":147,"_58":51,"_60":148,"_149":150,"_151":-5,"_123":152,"_125":152,"_46":352,"_127":148,"_160":353},{"_154":155,"_156":157,"_158":159},[354],{"_44":163,"_58":164,"_60":165,"_149":150,"_151":147,"_123":166,"_125":166,"_46":355,"_127":170,"_160":356},{"_154":168,"_156":157,"_158":169},[357],{"_44":173,"_58":59,"_60":61,"_149":150,"_151":163,"_123":174,"_125":174,"_46":358,"_127":177,"_160":359},{"_154":157,"_156":157,"_158":176},[],{"_44":289,"_58":343,"_60":344,"_149":150,"_151":-5,"_123":345,"_125":345,"_46":361,"_127":344,"_160":362},{"_154":347,"_156":157,"_158":348},[363,372,381],{"_44":286,"_58":287,"_60":288,"_149":150,"_151":289,"_123":166,"_125":166,"_46":364,"_127":293,"_160":365},{"_154":291,"_156":157,"_158":292},[366],{"_44":296,"_58":164,"_60":165,"_149":150,"_151":286,"_123":235,"_125":235,"_46":367,"_127":303,"_160":368},{"_154":291,"_156":157,"_158":302},[369],{"_44":295,"_58":59,"_60":61,"_149":150,"_151":296,"_123":297,"_125":297,"_46":370,"_127":299,"_160":371},{"_154":157,"_156":157,"_158":176},[],{"_44":309,"_58":310,"_60":311,"_149":150,"_151":289,"_123":166,"_125":166,"_46":373,"_127":315,"_160":374},{"_154":313,"_156":157,"_158":314},[375],{"_44":322,"_58":323,"_60":324,"_149":150,"_151":309,"_123":325,"_125":325,"_46":376,"_127":328,"_160":377},{"_154":291,"_156":157,"_158":327},[378],{"_44":337,"_58":338,"_60":61,"_149":150,"_151":322,"_123":339,"_125":339,"_46":379,"_127":341,"_160":380},{"_154":157,"_156":157,"_158":176},[],{"_44":234,"_58":317,"_60":318,"_149":150,"_151":289,"_123":166,"_125":166,"_46":382,"_127":320,"_160":383},{"_154":291,"_156":157,"_158":238},[384],{"_44":231,"_58":232,"_60":233,"_149":150,"_151":234,"_123":235,"_125":235,"_46":385,"_127":233,"_160":386},{"_154":237,"_156":157,"_158":238},[387],{"_44":332,"_58":59,"_60":61,"_149":150,"_151":231,"_123":333,"_125":333,"_46":388,"_127":335,"_160":389},{"_154":157,"_156":157,"_158":176},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários