[{"_1":2,"_366":-5,"_367":-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/b0ee843b-232c-439b-923e-c73531d9d22d","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_95":96,"_173":174,"_52":251,"_324":325,"_362":363,"_364":365},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":43,"_44":45,"_46":47,"_78":79,"_89":43,"_90":91,"_92":93,"_94":16},"correctOptionId","e824d400-3b9e-46b3-ac57-5af0b0d7ac44","difficulty","","id","b0ee843b-232c-439b-923e-c73531d9d22d","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","Outros","tags",[],"subjects",[56],{"_44":57,"_58":59,"_60":61},669639,"name","Termodinâmica","alias","termodinamica","materialId","143014257","answerCount",0,"isIndexable","mainSubject",{"_44":57,"_58":59,"_60":61},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","Graduate","source","PD","externalId","143029387","options",[80,85],{"_44":41,"_81":82,"_83":84},"label","A","text","Verdadeiro",{"_44":86,"_81":87,"_83":88},"a499c19c-ee84-4cef-a611-ec9a000cc43f","B","Falso","solution_explanation","statement","

Podemos afirmar que na prática, fluidos como a água ou o óleo não podem ser considerados invíscidos e os escoamentos desses fluidos são chamados de escoamentos viscosos.

","status","pending_classification","hasRelatedVideo","relatedVideos",[97],{"_98":99,"_117":118,"_52":133,"_151":152,"_169":170},"content",{"_44":100,"_58":101,"_102":-5,"_103":104,"_105":106,"_107":-5,"_46":108,"_111":112,"_113":112,"_114":-5,"_115":116},"162087be-594f-460e-bbdd-a339ac2f10ad","Calor Latente - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","f2b62fc2-7079-40e7-a5b5-c4a9769b205d","user_id",{"_109":110},"external_id","3659","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","calor-latente-parte-1","prometheusData",{"_119":120,"_126":127,"_128":129,"_130":131,"_28":132},"provider",{"_44":121,"_122":123,"_124":125},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","bf8aacba-3de9-4b10-961c-47ada80dfe8c","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/levels.m3u8",[134],{"_44":135,"_58":136,"_60":137,"_138":139,"_140":141,"_111":142,"_113":142,"_46":143,"_115":137,"_149":150},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9","2025-04-29T03:44:27.560682+00:00",{"_144":145,"_146":65,"_147":148},"childrenCount",10,"content_count","question_count",8575,"children",[],"video",{"_44":106,"_13":101,"_102":-5,"_153":154,"_155":156,"_28":-5,"_157":-5,"_119":156,"_158":159,"_130":-5,"_160":-5,"_161":-5,"_162":-5,"_163":-5,"_46":164,"_165":65,"_166":-5,"_92":167,"_111":168,"_113":168},"duration",17,"source_type","prometheus","iframe_url","provider_video_id","748a4adb-ad8f-4c5f-88a9-bc522d3b4246","format","quality","file_path","file_size",{"_109":110},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag",{"_44":135,"_58":136,"_60":137,"_138":139,"_140":141,"_111":142,"_113":142,"_46":171,"_115":137,"_149":172},{"_144":145,"_146":65,"_147":148},[],"similarQuestions",[175,208,228],{"_40":176,"_42":43,"_44":177,"_78":178,"_89":196,"_90":197,"_52":198},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[179,182,185,189,193],{"_44":180,"_81":82,"_83":181},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":183,"_81":87,"_83":184},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":186,"_81":187,"_83":188},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_44":190,"_81":191,"_83":192},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_44":176,"_81":194,"_83":195},"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

",[199],{"_44":200,"_58":201,"_60":202,"_138":139,"_140":203,"_111":204,"_113":204,"_46":205,"_115":202},"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",{"_144":206,"_146":65,"_147":207},4,12302,{"_40":209,"_42":43,"_44":210,"_78":211,"_89":223,"_90":224,"_52":225},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[212,215,218,220],{"_44":213,"_81":82,"_83":214},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":216,"_81":87,"_83":217},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":209,"_81":187,"_83":219},"

Verdadeiro, falso, verdadeiro

",{"_44":221,"_81":191,"_83":222},"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?

",[226],{"_44":200,"_58":201,"_60":202,"_138":139,"_140":203,"_111":204,"_113":204,"_46":227,"_115":202},{"_144":206,"_146":65,"_147":207},{"_40":229,"_42":43,"_44":230,"_78":231,"_89":246,"_90":247,"_52":248},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[232,235,238,240,243],{"_44":233,"_81":82,"_83":234},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":236,"_81":87,"_83":237},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":229,"_81":187,"_83":239},"Indeterminado",{"_44":241,"_81":191,"_83":242},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":244,"_81":194,"_83":245},"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????",[249],{"_44":200,"_58":201,"_60":202,"_138":139,"_140":203,"_111":204,"_113":204,"_46":250,"_115":202},{"_144":206,"_146":65,"_147":207},[252,254,261,271,278,285,287,295,301,306,312,319],{"_44":200,"_58":201,"_60":202,"_138":139,"_140":203,"_111":204,"_113":204,"_46":253,"_115":202},{"_144":206,"_146":65,"_147":207},{"_44":255,"_58":59,"_60":61,"_138":139,"_140":256,"_111":142,"_113":142,"_46":257,"_115":260},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_144":258,"_146":65,"_147":259},2,11846,"termodinamica-3",{"_44":262,"_58":263,"_60":264,"_138":139,"_140":265,"_111":266,"_113":266,"_46":267,"_115":270},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_144":268,"_146":65,"_147":269},5,30614,"engenharia-mecatronica-1",{"_44":272,"_58":273,"_60":274,"_138":139,"_140":262,"_111":204,"_113":204,"_46":275,"_115":277},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_144":268,"_146":65,"_147":276},25741,"mecanica-3",{"_44":256,"_58":279,"_60":280,"_138":139,"_140":265,"_111":266,"_113":266,"_46":281,"_115":284},"Engenharia Mecânica","engenharia-mecanica",{"_144":282,"_146":65,"_147":283},11,36318,"engenharia-mecanica-2",{"_44":135,"_58":136,"_60":137,"_138":139,"_140":141,"_111":142,"_113":142,"_46":286,"_115":137},{"_144":145,"_146":65,"_147":148},{"_44":288,"_58":289,"_60":290,"_138":139,"_140":-5,"_111":291,"_113":291,"_46":292,"_115":290},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_144":293,"_146":65,"_147":294},18,135489,{"_44":296,"_58":59,"_60":61,"_138":139,"_140":200,"_111":297,"_113":297,"_46":298,"_115":300},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_144":65,"_146":65,"_147":299},8597,"termodinamica-5",{"_44":203,"_58":302,"_60":303,"_138":139,"_140":265,"_111":266,"_113":266,"_46":304,"_115":305},"Engenharia de Petróleo","engenharia-de-petroleo",{"_144":268,"_146":65,"_147":207},"engenharia-de-petroleo-1",{"_44":141,"_58":307,"_60":308,"_138":139,"_140":288,"_111":266,"_113":266,"_46":309,"_115":311},"Física","fisica",{"_144":282,"_146":65,"_147":310},13777,"fisica-4",{"_44":265,"_58":313,"_60":314,"_138":139,"_140":-5,"_111":315,"_113":315,"_46":316,"_115":314},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_144":317,"_146":65,"_147":318},29,351586,{"_44":320,"_58":59,"_60":61,"_138":139,"_140":272,"_111":321,"_113":321,"_46":322,"_115":323},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_144":65,"_146":65,"_147":299},"termodinamica-4","tagsTree",[326,335],{"_44":288,"_58":289,"_60":290,"_138":139,"_140":-5,"_111":291,"_113":291,"_46":327,"_115":290,"_149":328},{"_144":293,"_146":65,"_147":294},[329],{"_44":141,"_58":307,"_60":308,"_138":139,"_140":288,"_111":266,"_113":266,"_46":330,"_115":311,"_149":331},{"_144":282,"_146":65,"_147":310},[332],{"_44":135,"_58":136,"_60":137,"_138":139,"_140":141,"_111":142,"_113":142,"_46":333,"_115":137,"_149":334},{"_144":145,"_146":65,"_147":148},[],{"_44":265,"_58":313,"_60":314,"_138":139,"_140":-5,"_111":315,"_113":315,"_46":336,"_115":314,"_149":337},{"_144":317,"_146":65,"_147":318},[338,347,353],{"_44":262,"_58":263,"_60":264,"_138":139,"_140":265,"_111":266,"_113":266,"_46":339,"_115":270,"_149":340},{"_144":268,"_146":65,"_147":269},[341],{"_44":272,"_58":273,"_60":274,"_138":139,"_140":262,"_111":204,"_113":204,"_46":342,"_115":277,"_149":343},{"_144":268,"_146":65,"_147":276},[344],{"_44":320,"_58":59,"_60":61,"_138":139,"_140":272,"_111":321,"_113":321,"_46":345,"_115":323,"_149":346},{"_144":65,"_146":65,"_147":299},[],{"_44":256,"_58":279,"_60":280,"_138":139,"_140":265,"_111":266,"_113":266,"_46":348,"_115":284,"_149":349},{"_144":282,"_146":65,"_147":283},[350],{"_44":255,"_58":59,"_60":61,"_138":139,"_140":256,"_111":142,"_113":142,"_46":351,"_115":260,"_149":352},{"_144":258,"_146":65,"_147":259},[],{"_44":203,"_58":302,"_60":303,"_138":139,"_140":265,"_111":266,"_113":266,"_46":354,"_115":305,"_149":355},{"_144":268,"_146":65,"_147":207},[356],{"_44":200,"_58":201,"_60":202,"_138":139,"_140":203,"_111":204,"_113":204,"_46":357,"_115":202,"_149":358},{"_144":206,"_146":65,"_147":207},[359],{"_44":296,"_58":59,"_60":61,"_138":139,"_140":200,"_111":297,"_113":297,"_46":360,"_115":300,"_149":361},{"_144":65,"_146":65,"_147":299},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários