[{"_1":2,"_373":-5,"_374":-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/a4814e27-8ba6-4f1c-826b-b9ad025cc42e?video=true","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_122":123,"_213":214,"_51":285,"_347":348,"_369":370,"_371":372},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":41,"_43":44,"_45":46,"_96":97,"_116":41,"_117":118,"_119":120,"_121":16},"correctOptionId","","difficulty","id","a4814e27-8ba6-4f1c-826b-b9ad025cc42e","metadata",{"_47":48,"_92":93,"_94":95},"pd",{"_49":50,"_51":52,"_62":63,"_80":81,"_82":83,"_84":16,"_85":86,"_87":36,"_88":89,"_90":91},"area","Outros","tags",[53,59],{"_43":54,"_55":56,"_57":58},486,"name","Biologia","alias","biologia",{"_43":60,"_55":61,"_57":61},17729,"cunicultura","subjects",[64,68,72,76],{"_43":65,"_55":66,"_57":67},672762,"Climatologia","climatologia",{"_43":69,"_55":70,"_57":71},673761,"Zootecnia","zootecnia",{"_43":73,"_55":74,"_57":75},688244,"Fisiologia Animal","fisiologia-animal",{"_43":77,"_55":78,"_57":79},1663620,"Resistência dos Materiais","resistencia-dos-materiais","materialId","30941982","answerCount",0,"isIndexable","mainSubject",{"_43":77,"_55":78,"_57":79},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","Graduate","source","PD","externalId","132647967","options",[98,104,108,112],{"_43":99,"_100":101,"_102":103},"ac0e6b6a-d3df-4554-870d-912f8d0d154a","label","A","text","

Fornecer informações sobre a história e tipos de produção de coelhos.

",{"_43":105,"_100":106,"_102":107},"baa63783-f112-4b1f-960b-49a3bc4ff8a9","B","

Promover a cultura do trabalho e a produção sustentável.

",{"_43":109,"_100":110,"_102":111},"1ef8ca93-41fd-460b-990c-8936e2d6ae35","C","

Fornecer um guia abrangente sobre como criar coelhos para carne, pelagem e como animais de estimação.

",{"_43":113,"_100":114,"_102":115},"1154600b-78c1-4d3c-bc81-605e35d5d401","D","

Fornecer um guia para professores e alunos no Ciclo de Educação Agrária.

","solution_explanation","statement","

Qual é o propósito do Manual de Cunicultura?

","status","pending_classification","hasRelatedVideo","relatedVideos",[124],{"_125":126,"_144":145,"_51":160,"_194":195,"_212":161},"content",{"_43":127,"_55":128,"_129":-5,"_130":131,"_132":133,"_134":-5,"_45":135,"_138":139,"_140":139,"_141":-5,"_142":143},"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",{"_136":137},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_146":147,"_153":154,"_155":156,"_157":158,"_28":159},"provider",{"_43":148,"_149":150,"_151":152},"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",[161],{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":169,"_142":164,"_175":176},"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",{"_170":171,"_172":83,"_173":174},"childrenCount",18,"content_count","question_count",135489,"children",[177],{"_43":178,"_55":179,"_57":180,"_165":166,"_167":162,"_138":181,"_140":181,"_45":182,"_142":185,"_175":186},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_170":183,"_172":83,"_173":184},10,19948,"mecanica-2",[187],{"_43":188,"_55":78,"_57":79,"_165":166,"_167":178,"_138":189,"_140":189,"_45":190,"_142":192,"_175":193},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_170":83,"_172":83,"_173":191},3376,"resistencia-dos-materiais-4",[],"video",{"_43":133,"_13":128,"_129":-5,"_196":197,"_198":199,"_28":-5,"_200":-5,"_146":199,"_201":202,"_157":-5,"_203":-5,"_204":-5,"_205":-5,"_206":-5,"_45":207,"_208":83,"_209":-5,"_119":210,"_138":211,"_140":211},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_136":137},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[215,246,264],{"_40":216,"_42":41,"_43":217,"_96":218,"_116":234,"_117":235,"_51":236},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[219,222,225,228,231],{"_43":220,"_100":101,"_102":221},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":223,"_100":106,"_102":224},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":226,"_100":110,"_102":227},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":229,"_100":114,"_102":230},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":216,"_100":232,"_102":233},"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

",[237],{"_43":238,"_55":239,"_57":240,"_165":166,"_167":241,"_138":242,"_140":242,"_45":243,"_142":240},"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",{"_170":244,"_172":83,"_173":245},4,12302,{"_40":247,"_42":41,"_43":248,"_96":249,"_116":261,"_117":262,"_51":263},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[250,253,256,258],{"_43":251,"_100":101,"_102":252},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":254,"_100":106,"_102":255},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":247,"_100":110,"_102":257},"

Verdadeiro, falso, verdadeiro

",{"_43":259,"_100":114,"_102":260},"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?

",[237],{"_40":265,"_42":41,"_43":266,"_96":267,"_116":282,"_117":283,"_51":284},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[268,271,274,276,279],{"_43":269,"_100":101,"_102":270},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_43":272,"_100":106,"_102":273},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_43":265,"_100":110,"_102":275},"Indeterminado",{"_43":277,"_100":114,"_102":278},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_43":280,"_100":232,"_102":281},"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????",[237],[237,286,295,301,305,306,307,315,320,328,329,334,340],{"_43":287,"_55":288,"_57":289,"_165":166,"_167":290,"_138":181,"_140":181,"_45":291,"_142":294},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_170":292,"_172":83,"_173":293},5,30614,"engenharia-mecatronica-1",{"_43":296,"_55":78,"_57":79,"_165":166,"_167":297,"_138":298,"_140":298,"_45":299,"_142":300},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_170":83,"_172":83,"_173":191},"resistencia-dos-materiais-6",{"_43":297,"_55":179,"_57":180,"_165":166,"_167":287,"_138":242,"_140":242,"_45":302,"_142":304},{"_170":292,"_172":83,"_173":303},25741,"mecanica-3",{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":169,"_142":164},{"_43":188,"_55":78,"_57":79,"_165":166,"_167":178,"_138":189,"_140":189,"_45":190,"_142":192},{"_43":308,"_55":309,"_57":310,"_165":166,"_167":290,"_138":181,"_140":181,"_45":311,"_142":314},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_170":312,"_172":83,"_173":313},21,45865,"engenharia-civil-3",{"_43":241,"_55":316,"_57":317,"_165":166,"_167":290,"_138":181,"_140":181,"_45":318,"_142":319},"Engenharia de Petróleo","engenharia-de-petroleo",{"_170":292,"_172":83,"_173":245},"engenharia-de-petroleo-1",{"_43":321,"_55":322,"_57":323,"_165":166,"_167":308,"_138":324,"_140":324,"_45":325,"_142":327},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_170":292,"_172":83,"_173":326},8852,"estruturas-1",{"_43":178,"_55":179,"_57":180,"_165":166,"_167":162,"_138":181,"_140":181,"_45":182,"_142":185},{"_43":330,"_55":78,"_57":79,"_165":166,"_167":238,"_138":331,"_140":331,"_45":332,"_142":333},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_170":83,"_172":83,"_173":191},"resistencia-dos-materiais-7",{"_43":335,"_55":336,"_57":79,"_165":166,"_167":321,"_138":337,"_140":337,"_45":338,"_142":339},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_170":83,"_172":83,"_173":191},"resistencia-dos-materiais-5",{"_43":290,"_55":341,"_57":342,"_165":166,"_167":-5,"_138":343,"_140":343,"_45":344,"_142":342},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_170":345,"_172":83,"_173":346},29,351586,"tagsTree",[161,349],{"_43":290,"_55":341,"_57":342,"_165":166,"_167":-5,"_138":343,"_140":343,"_45":344,"_142":342,"_175":350},[351,357,363],{"_43":287,"_55":288,"_57":289,"_165":166,"_167":290,"_138":181,"_140":181,"_45":291,"_142":294,"_175":352},[353],{"_43":297,"_55":179,"_57":180,"_165":166,"_167":287,"_138":242,"_140":242,"_45":302,"_142":304,"_175":354},[355],{"_43":296,"_55":78,"_57":79,"_165":166,"_167":297,"_138":298,"_140":298,"_45":299,"_142":300,"_175":356},[],{"_43":308,"_55":309,"_57":310,"_165":166,"_167":290,"_138":181,"_140":181,"_45":311,"_142":314,"_175":358},[359],{"_43":321,"_55":322,"_57":323,"_165":166,"_167":308,"_138":324,"_140":324,"_45":325,"_142":327,"_175":360},[361],{"_43":335,"_55":336,"_57":79,"_165":166,"_167":321,"_138":337,"_140":337,"_45":338,"_142":339,"_175":362},[],{"_43":241,"_55":316,"_57":317,"_165":166,"_167":290,"_138":181,"_140":181,"_45":318,"_142":319,"_175":364},[365],{"_43":238,"_55":239,"_57":240,"_165":166,"_167":241,"_138":242,"_140":242,"_45":243,"_142":240,"_175":366},[367],{"_43":330,"_55":78,"_57":79,"_165":166,"_167":238,"_138":331,"_140":331,"_45":332,"_142":333,"_175":368},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários