[{"_1":2,"_365":-5,"_366":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/ff183b02-3c8c-4dd9-9eaa-0822ff2f964f?video=true","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":13,"_15":16,"_53":54,"_135":136,"_91":248,"_323":324,"_361":362,"_363":364},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_17":18,"_19":18,"_20":21,"_22":23,"_46":18,"_47":48,"_49":50,"_51":52},"correctOptionId","","difficulty","id","ff183b02-3c8c-4dd9-9eaa-0822ff2f964f","options",[24,30,34,38,42],{"_20":25,"_26":27,"_28":29},"f6e4454b-de3b-4682-b540-cbf7654d3d4a","label","A","text","Massa, densidade e pressão.",{"_20":31,"_26":32,"_28":33},"cb895f1c-7edd-4fc3-9126-dd0742daac87","B","Temperatura, volume e calor específico.",{"_20":35,"_26":36,"_28":37},"93df15ee-508e-4b22-b2ca-ba6b2a5224bd","C","Pressão, volume e temperatura.",{"_20":39,"_26":40,"_28":41},"a13d39aa-f1a2-4a67-bd14-e8afa86fdc70","D","Pressão parcial, densidade e volume.",{"_20":43,"_26":44,"_28":45},"69891298-63f2-4e7e-aa95-be9b57d7c6a8","E","Sólido, líquido e gasoso.","solution_explanation","statement","

Considerando estas informações e os conteúdos do livro-base Fundamentos da Termodinâmica, assinale a alternativa que elenca as principais variáveis de estado estudadas:

","status","pending_classification","hasRelatedVideo",true,"relatedVideos",[55],{"_56":57,"_75":76,"_91":92,"_113":114,"_131":132},"content",{"_20":58,"_59":60,"_61":-5,"_62":63,"_64":65,"_66":-5,"_67":68,"_71":72,"_73":72,"_74":-5},"17af1394-ae27-4d49-bad0-6dfbc097b00c","name","Termologia e Termometria","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","e0ab6092-71a6-4b78-8930-845a08dc3495","user_id","metadata",{"_69":70},"external_id","2594","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","prometheusData",{"_77":78,"_84":85,"_86":87,"_88":89,"_5":90},"provider",{"_20":79,"_80":81,"_82":83},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","b502b486-7b81-4345-a10c-e462c3043183","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/b502b486-7b81-4345-a10c-e462c3043183/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/b502b486-7b81-4345-a10c-e462c3043183/levels.m3u8","tags",[93],{"_20":94,"_59":95,"_96":97,"_98":99,"_100":101,"_71":102,"_73":102,"_67":103,"_110":97,"_111":112},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","alias","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",{"_104":105,"_106":107,"_108":109},"childrenCount",10,"content_count",0,"question_count",8575,"slug","children",[],"video",{"_20":65,"_115":60,"_61":-5,"_116":107,"_117":118,"_5":-5,"_119":-5,"_77":118,"_120":121,"_88":-5,"_122":-5,"_123":-5,"_124":-5,"_125":-5,"_67":126,"_127":107,"_128":-5,"_49":129,"_71":130,"_73":130},"title","duration","source_type","prometheus","iframe_url","provider_video_id","a58dea8f-5fbf-4462-bf04-83e715504a2f","format","quality","file_path","file_size",{"_69":70},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag",{"_20":94,"_59":95,"_96":97,"_98":99,"_100":101,"_71":102,"_73":102,"_67":133,"_110":97,"_111":134},{"_104":105,"_106":107,"_108":109},[],"similarQuestions",[137,166,185,204,226],{"_17":18,"_19":18,"_20":138,"_22":139,"_46":18,"_47":155,"_91":156},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[140,143,146,149,152],{"_20":141,"_26":27,"_28":142},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_20":144,"_26":32,"_28":145},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_20":147,"_26":36,"_28":148},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_20":150,"_26":40,"_28":151},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_20":153,"_26":44,"_28":154},"112831da-be9c-458e-94cb-e8292d0dba12","y'' - 2y' + 6y = 0","

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

",[157],{"_20":158,"_59":159,"_96":160,"_98":99,"_100":161,"_71":162,"_73":162,"_67":163,"_110":160},"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",{"_104":164,"_106":107,"_108":165},4,12302,{"_17":18,"_19":18,"_20":167,"_22":168,"_46":18,"_47":181,"_91":182},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[169,172,175,178],{"_20":170,"_26":27,"_28":171},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":173,"_26":32,"_28":174},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":176,"_26":36,"_28":177},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":179,"_26":40,"_28":180},"1f5e395b-c362-4503-8261-dcfcae96b1ce","Falso, verdadero, verdadeiro, verdadeiro.","

Divide el polinomio p(x) = 3x^4 + 4x^3 + x^2 entre el polinomio q(x) = 2+x. Como el polinomio divisor, q(x), es de grado 2, debemos encontrar dos polinomios, un polinomio cociente (c(x)) y un polinomio resto (r(x)) de grado 1 o 0, tales que p(x) = q(x) * c(x) + r(x).

El polinomio p(x) es de grado 4.

El polinomio q(x) es de grado 1.

El polinomio cociente c(x) es de grado 2.

El polinomio resto r(x) es de grado 1 o 0.

",[183],{"_20":158,"_59":159,"_96":160,"_98":99,"_100":161,"_71":162,"_73":162,"_67":184,"_110":160},{"_104":164,"_106":107,"_108":165},{"_17":18,"_19":18,"_20":186,"_22":187,"_46":18,"_47":200,"_91":201},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[188,191,194,197],{"_20":189,"_26":27,"_28":190},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":192,"_26":32,"_28":193},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":195,"_26":36,"_28":196},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":198,"_26":40,"_28":199},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

",[202],{"_20":158,"_59":159,"_96":160,"_98":99,"_100":161,"_71":162,"_73":162,"_67":203,"_110":160},{"_104":164,"_106":107,"_108":165},{"_17":18,"_19":18,"_20":205,"_22":206,"_46":18,"_47":222,"_91":223},"996628fc-4ac3-4821-86bd-839f86a97a6d",[207,210,213,216,219],{"_20":208,"_26":27,"_28":209},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_20":211,"_26":32,"_28":212},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_20":214,"_26":36,"_28":215},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_20":217,"_26":40,"_28":218},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_20":220,"_26":44,"_28":221},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[224],{"_20":158,"_59":159,"_96":160,"_98":99,"_100":161,"_71":162,"_73":162,"_67":225,"_110":160},{"_104":164,"_106":107,"_108":165},{"_17":18,"_19":18,"_20":227,"_22":228,"_46":18,"_47":244,"_91":245},"c478a46c-46a8-4942-ae14-2e79def3dda2",[229,232,235,238,241],{"_20":230,"_26":27,"_28":231},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_20":233,"_26":32,"_28":234},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_20":236,"_26":36,"_28":237},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_20":239,"_26":40,"_28":240},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_20":242,"_26":44,"_28":243},"2e06d948-d37e-4350-afc7-ced04941bcaf","Nenhum","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????",[246],{"_20":158,"_59":159,"_96":160,"_98":99,"_100":161,"_71":162,"_73":162,"_67":247,"_110":160},{"_104":164,"_106":107,"_108":165},[249,251,260,270,277,284,286,294,300,305,311,318],{"_20":158,"_59":159,"_96":160,"_98":99,"_100":161,"_71":162,"_73":162,"_67":250,"_110":160},{"_104":164,"_106":107,"_108":165},{"_20":252,"_59":253,"_96":254,"_98":99,"_100":255,"_71":102,"_73":102,"_67":256,"_110":259},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","Termodinâmica","termodinamica","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_104":257,"_106":107,"_108":258},2,11846,"termodinamica-3",{"_20":261,"_59":262,"_96":263,"_98":99,"_100":264,"_71":265,"_73":265,"_67":266,"_110":269},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_104":267,"_106":107,"_108":268},5,30614,"engenharia-mecatronica-1",{"_20":271,"_59":272,"_96":273,"_98":99,"_100":261,"_71":162,"_73":162,"_67":274,"_110":276},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_104":267,"_106":107,"_108":275},25741,"mecanica-3",{"_20":255,"_59":278,"_96":279,"_98":99,"_100":264,"_71":265,"_73":265,"_67":280,"_110":283},"Engenharia Mecânica","engenharia-mecanica",{"_104":281,"_106":107,"_108":282},11,36318,"engenharia-mecanica-2",{"_20":94,"_59":95,"_96":97,"_98":99,"_100":101,"_71":102,"_73":102,"_67":285,"_110":97},{"_104":105,"_106":107,"_108":109},{"_20":287,"_59":288,"_96":289,"_98":99,"_100":-5,"_71":290,"_73":290,"_67":291,"_110":289},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_104":292,"_106":107,"_108":293},18,135489,{"_20":295,"_59":253,"_96":254,"_98":99,"_100":158,"_71":296,"_73":296,"_67":297,"_110":299},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_104":107,"_106":107,"_108":298},8597,"termodinamica-5",{"_20":161,"_59":301,"_96":302,"_98":99,"_100":264,"_71":265,"_73":265,"_67":303,"_110":304},"Engenharia de Petróleo","engenharia-de-petroleo",{"_104":267,"_106":107,"_108":165},"engenharia-de-petroleo-1",{"_20":101,"_59":306,"_96":307,"_98":99,"_100":287,"_71":265,"_73":265,"_67":308,"_110":310},"Física","fisica",{"_104":281,"_106":107,"_108":309},13777,"fisica-4",{"_20":264,"_59":312,"_96":313,"_98":99,"_100":-5,"_71":314,"_73":314,"_67":315,"_110":313},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_104":316,"_106":107,"_108":317},29,351586,{"_20":319,"_59":253,"_96":254,"_98":99,"_100":271,"_71":320,"_73":320,"_67":321,"_110":322},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_104":107,"_106":107,"_108":298},"termodinamica-4","tagsTree",[325,334],{"_20":287,"_59":288,"_96":289,"_98":99,"_100":-5,"_71":290,"_73":290,"_67":326,"_110":289,"_111":327},{"_104":292,"_106":107,"_108":293},[328],{"_20":101,"_59":306,"_96":307,"_98":99,"_100":287,"_71":265,"_73":265,"_67":329,"_110":310,"_111":330},{"_104":281,"_106":107,"_108":309},[331],{"_20":94,"_59":95,"_96":97,"_98":99,"_100":101,"_71":102,"_73":102,"_67":332,"_110":97,"_111":333},{"_104":105,"_106":107,"_108":109},[],{"_20":264,"_59":312,"_96":313,"_98":99,"_100":-5,"_71":314,"_73":314,"_67":335,"_110":313,"_111":336},{"_104":316,"_106":107,"_108":317},[337,346,352],{"_20":261,"_59":262,"_96":263,"_98":99,"_100":264,"_71":265,"_73":265,"_67":338,"_110":269,"_111":339},{"_104":267,"_106":107,"_108":268},[340],{"_20":271,"_59":272,"_96":273,"_98":99,"_100":261,"_71":162,"_73":162,"_67":341,"_110":276,"_111":342},{"_104":267,"_106":107,"_108":275},[343],{"_20":319,"_59":253,"_96":254,"_98":99,"_100":271,"_71":320,"_73":320,"_67":344,"_110":322,"_111":345},{"_104":107,"_106":107,"_108":298},[],{"_20":255,"_59":278,"_96":279,"_98":99,"_100":264,"_71":265,"_73":265,"_67":347,"_110":283,"_111":348},{"_104":281,"_106":107,"_108":282},[349],{"_20":252,"_59":253,"_96":254,"_98":99,"_100":255,"_71":102,"_73":102,"_67":350,"_110":259,"_111":351},{"_104":257,"_106":107,"_108":258},[],{"_20":161,"_59":301,"_96":302,"_98":99,"_100":264,"_71":265,"_73":265,"_67":353,"_110":304,"_111":354},{"_104":267,"_106":107,"_108":165},[355],{"_20":158,"_59":159,"_96":160,"_98":99,"_100":161,"_71":162,"_73":162,"_67":356,"_110":160,"_111":357},{"_104":164,"_106":107,"_108":165},[358],{"_20":295,"_59":253,"_96":254,"_98":99,"_100":158,"_71":296,"_73":296,"_67":359,"_110":299,"_111":360},{"_104":107,"_106":107,"_108":298},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários