[{"_1":2,"_376":-5,"_377":-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/b034d772-b970-4976-b953-314ac2ae07db?video=true","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_99":100,"_191":192,"_51":268,"_334":335,"_372":373,"_374":375},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":41,"_43":44,"_45":46,"_77":78,"_93":41,"_94":95,"_96":97,"_98":16},"correctOptionId","","difficulty","id","b034d772-b970-4976-b953-314ac2ae07db","metadata",{"_47":48,"_73":74,"_75":76},"pd",{"_49":50,"_51":52,"_53":54,"_61":62,"_63":64,"_65":16,"_66":67,"_68":16,"_69":70,"_71":72},"area","Outros","tags",[],"subjects",[55],{"_43":56,"_57":58,"_59":60},669639,"name","Termodinâmica","alias","termodinamica","materialId","143281582","answerCount",1,"isIndexable","mainSubject",{"_43":56,"_57":58,"_59":60},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","Graduate","source","PD","externalId","143281783","options",[79,85,89],{"_43":80,"_81":82,"_83":84},"12773188-2afd-417b-9a5c-a2abee7bd0f2","label","A","text","

Um questionário semiestruturado apresenta apenas questões fechadas, ou seja, de múltipla escolha.

",{"_43":86,"_81":87,"_83":88},"83dc3ebd-9064-4772-a15a-3533eeebf7e3","B","

É um questionário que apresenta apenas questões abertas.

",{"_43":90,"_81":91,"_83":92},"4f9b9745-e4e8-403e-8234-707fc00f8232","C","

Um questionário semiestruturado combina questões abertas e fechadas.

","solution_explanation","statement","

Quais as características de um questionário semiestruturado?

","status","pending_classification","hasRelatedVideo","relatedVideos",[101],{"_102":103,"_121":122,"_51":137,"_166":167,"_184":185},"content",{"_43":104,"_57":105,"_106":-5,"_107":108,"_109":110,"_111":-5,"_45":112,"_115":116,"_117":116,"_118":-5,"_119":120},"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",{"_113":114},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_123":124,"_130":131,"_132":133,"_134":135,"_28":136},"provider",{"_43":125,"_126":127,"_128":129},"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",[138],{"_43":139,"_57":140,"_59":141,"_142":143,"_144":145,"_115":146,"_117":146,"_45":147,"_119":154,"_155":156},"c8ab2a95-fd84-4d6f-ade0-835d34ba00f9","Física","fisica","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","9772e958-72c6-4499-ad47-877cf94d670d","2025-04-29T02:19:12.828432+00:00",{"_148":149,"_150":151,"_152":153},"childrenCount",11,"content_count",0,"question_count",13777,"fisica-4","children",[157],{"_43":158,"_57":159,"_59":160,"_142":143,"_144":139,"_115":161,"_117":161,"_45":162,"_119":160,"_155":165},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","2025-04-29T03:44:27.560682+00:00",{"_148":163,"_150":151,"_152":164},10,8575,[],"video",{"_43":110,"_13":105,"_106":-5,"_168":169,"_170":171,"_28":-5,"_172":-5,"_123":171,"_173":174,"_134":-5,"_175":-5,"_176":-5,"_177":-5,"_178":-5,"_45":179,"_180":151,"_181":-5,"_96":182,"_115":183,"_117":183},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_113":114},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_43":139,"_57":140,"_59":141,"_142":143,"_144":145,"_115":146,"_117":146,"_45":186,"_119":154,"_155":187},{"_148":149,"_150":151,"_152":153},[188],{"_43":158,"_57":159,"_59":160,"_142":143,"_144":139,"_115":161,"_117":161,"_45":189,"_119":160,"_155":190},{"_148":163,"_150":151,"_152":164},[],"similarQuestions",[193,225,245],{"_40":194,"_42":41,"_43":195,"_77":196,"_93":213,"_94":214,"_51":215},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[197,200,203,206,210],{"_43":198,"_81":82,"_83":199},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":201,"_81":87,"_83":202},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":204,"_81":91,"_83":205},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":207,"_81":208,"_83":209},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_43":194,"_81":211,"_83":212},"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

",[216],{"_43":217,"_57":218,"_59":219,"_142":143,"_144":220,"_115":221,"_117":221,"_45":222,"_119":219},"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",{"_148":223,"_150":151,"_152":224},4,12302,{"_40":226,"_42":41,"_43":227,"_77":228,"_93":240,"_94":241,"_51":242},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[229,232,235,237],{"_43":230,"_81":82,"_83":231},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":233,"_81":87,"_83":234},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":226,"_81":91,"_83":236},"

Verdadeiro, falso, verdadeiro

",{"_43":238,"_81":208,"_83":239},"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?

",[243],{"_43":217,"_57":218,"_59":219,"_142":143,"_144":220,"_115":221,"_117":221,"_45":244,"_119":219},{"_148":223,"_150":151,"_152":224},{"_40":246,"_42":41,"_43":247,"_77":248,"_93":263,"_94":264,"_51":265},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[249,252,255,257,260],{"_43":250,"_81":82,"_83":251},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_43":253,"_81":87,"_83":254},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_43":246,"_81":91,"_83":256},"Indeterminado",{"_43":258,"_81":208,"_83":259},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_43":261,"_81":211,"_83":262},"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????",[266],{"_43":217,"_57":218,"_59":219,"_142":143,"_144":220,"_115":221,"_117":221,"_45":267,"_119":219},{"_148":223,"_150":151,"_152":224},[269,271,278,287,294,300,302,309,315,320,322,329],{"_43":217,"_57":218,"_59":219,"_142":143,"_144":220,"_115":221,"_117":221,"_45":270,"_119":219},{"_148":223,"_150":151,"_152":224},{"_43":272,"_57":58,"_59":60,"_142":143,"_144":273,"_115":161,"_117":161,"_45":274,"_119":277},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_148":275,"_150":151,"_152":276},2,11846,"termodinamica-3",{"_43":279,"_57":280,"_59":281,"_142":143,"_144":282,"_115":146,"_117":146,"_45":283,"_119":286},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_148":284,"_150":151,"_152":285},5,30614,"engenharia-mecatronica-1",{"_43":288,"_57":289,"_59":290,"_142":143,"_144":279,"_115":221,"_117":221,"_45":291,"_119":293},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_148":284,"_150":151,"_152":292},25741,"mecanica-3",{"_43":273,"_57":295,"_59":296,"_142":143,"_144":282,"_115":146,"_117":146,"_45":297,"_119":299},"Engenharia Mecânica","engenharia-mecanica",{"_148":149,"_150":151,"_152":298},36318,"engenharia-mecanica-2",{"_43":158,"_57":159,"_59":160,"_142":143,"_144":139,"_115":161,"_117":161,"_45":301,"_119":160},{"_148":163,"_150":151,"_152":164},{"_43":145,"_57":303,"_59":304,"_142":143,"_144":-5,"_115":305,"_117":305,"_45":306,"_119":304},"Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_148":307,"_150":151,"_152":308},18,135489,{"_43":310,"_57":58,"_59":60,"_142":143,"_144":217,"_115":311,"_117":311,"_45":312,"_119":314},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_148":151,"_150":151,"_152":313},8597,"termodinamica-5",{"_43":220,"_57":316,"_59":317,"_142":143,"_144":282,"_115":146,"_117":146,"_45":318,"_119":319},"Engenharia de Petróleo","engenharia-de-petroleo",{"_148":284,"_150":151,"_152":224},"engenharia-de-petroleo-1",{"_43":139,"_57":140,"_59":141,"_142":143,"_144":145,"_115":146,"_117":146,"_45":321,"_119":154},{"_148":149,"_150":151,"_152":153},{"_43":282,"_57":323,"_59":324,"_142":143,"_144":-5,"_115":325,"_117":325,"_45":326,"_119":324},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_148":327,"_150":151,"_152":328},29,351586,{"_43":330,"_57":58,"_59":60,"_142":143,"_144":288,"_115":331,"_117":331,"_45":332,"_119":333},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_148":151,"_150":151,"_152":313},"termodinamica-4","tagsTree",[336,345],{"_43":145,"_57":303,"_59":304,"_142":143,"_144":-5,"_115":305,"_117":305,"_45":337,"_119":304,"_155":338},{"_148":307,"_150":151,"_152":308},[339],{"_43":139,"_57":140,"_59":141,"_142":143,"_144":145,"_115":146,"_117":146,"_45":340,"_119":154,"_155":341},{"_148":149,"_150":151,"_152":153},[342],{"_43":158,"_57":159,"_59":160,"_142":143,"_144":139,"_115":161,"_117":161,"_45":343,"_119":160,"_155":344},{"_148":163,"_150":151,"_152":164},[],{"_43":282,"_57":323,"_59":324,"_142":143,"_144":-5,"_115":325,"_117":325,"_45":346,"_119":324,"_155":347},{"_148":327,"_150":151,"_152":328},[348,357,363],{"_43":279,"_57":280,"_59":281,"_142":143,"_144":282,"_115":146,"_117":146,"_45":349,"_119":286,"_155":350},{"_148":284,"_150":151,"_152":285},[351],{"_43":288,"_57":289,"_59":290,"_142":143,"_144":279,"_115":221,"_117":221,"_45":352,"_119":293,"_155":353},{"_148":284,"_150":151,"_152":292},[354],{"_43":330,"_57":58,"_59":60,"_142":143,"_144":288,"_115":331,"_117":331,"_45":355,"_119":333,"_155":356},{"_148":151,"_150":151,"_152":313},[],{"_43":273,"_57":295,"_59":296,"_142":143,"_144":282,"_115":146,"_117":146,"_45":358,"_119":299,"_155":359},{"_148":149,"_150":151,"_152":298},[360],{"_43":272,"_57":58,"_59":60,"_142":143,"_144":273,"_115":161,"_117":161,"_45":361,"_119":277,"_155":362},{"_148":275,"_150":151,"_152":276},[],{"_43":220,"_57":316,"_59":317,"_142":143,"_144":282,"_115":146,"_117":146,"_45":364,"_119":319,"_155":365},{"_148":284,"_150":151,"_152":224},[366],{"_43":217,"_57":218,"_59":219,"_142":143,"_144":220,"_115":221,"_117":221,"_45":367,"_119":219,"_155":368},{"_148":223,"_150":151,"_152":224},[369],{"_43":310,"_57":58,"_59":60,"_142":143,"_144":217,"_115":311,"_117":311,"_45":370,"_119":314,"_155":371},{"_148":151,"_150":151,"_152":313},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários