[{"_1":2,"_270":-5,"_271":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/e677b0b7-0765-492c-a654-d47851cfb3c0","user","pages/questions/show/index",{"_10":11,"_12":13,"_41":42,"_43":44,"_65":242,"_243":244},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_38":15,"_39":40},"correctOptionId","","difficulty","id","e677b0b7-0765-492c-a654-d47851cfb3c0","options",[21,27,31,34],{"_17":22,"_23":24,"_25":26},"cd198e3a-2219-49f7-af30-2b05d54d8c5e","label","A","text","T_2 = 60°C",{"_17":28,"_23":29,"_25":30},"1c916918-0ad4-4499-b742-7dc9a72c815a","B","T_2 = 20°C",{"_17":32,"_23":33,"_25":26},"72bad902-aeeb-4020-a7ff-b772fbbdcf71","C",{"_17":35,"_23":36,"_25":37},"85d7e302-e7fb-4b67-953c-ff928e125db6","D","T_2 = 40°C","solution_explanation","statement","

Qual tipo de transformação abaixo com valor de T_2?

Estado inicial
Estado final
Dados: -T_1 = 60°C - P_1 atm P_2 atm V_1 X

","relatedVideos",[],"similarQuestions",[45,168,185,202,222],{"_14":15,"_16":15,"_17":46,"_19":47,"_38":15,"_39":64,"_65":66},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[48,51,54,57,60],{"_17":49,"_23":24,"_25":50},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_17":52,"_23":29,"_25":53},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_17":55,"_23":33,"_25":56},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_17":58,"_23":36,"_25":59},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_17":61,"_23":62,"_25":63},"112831da-be9c-458e-94cb-e8292d0dba12","E","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

","tags",[67,89,99,109,116,123,131,139,145,150,156,163],{"_17":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":78,"_80":81,"_88":72},"6516bbbd-f2a3-4710-8382-702240b17836","name","Mecânica na Engenharia de Petróleo","alias","mecanica-na-engenharia-de-petroleo","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","b787e438-0ab3-454c-ab43-5d3d14c2720d","created_at","2025-04-29T03:44:35.328997+00:00","updated_at","metadata",{"_82":83,"_84":85,"_86":87},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_17":90,"_69":91,"_71":92,"_73":74,"_75":93,"_77":94,"_79":94,"_80":95,"_88":98},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","Termodinâmica","termodinamica","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0","2025-04-29T03:44:27.560682+00:00",{"_82":96,"_84":85,"_86":97},2,11846,"termodinamica-3",{"_17":100,"_69":101,"_71":102,"_73":74,"_75":103,"_77":104,"_79":104,"_80":105,"_88":108},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_82":106,"_84":85,"_86":107},5,30614,"engenharia-mecatronica-1",{"_17":110,"_69":111,"_71":112,"_73":74,"_75":100,"_77":78,"_79":78,"_80":113,"_88":115},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_82":106,"_84":85,"_86":114},25741,"mecanica-3",{"_17":93,"_69":117,"_71":118,"_73":74,"_75":103,"_77":104,"_79":104,"_80":119,"_88":122},"Engenharia Mecânica","engenharia-mecanica",{"_82":120,"_84":85,"_86":121},11,36318,"engenharia-mecanica-2",{"_17":124,"_69":125,"_71":126,"_73":74,"_75":127,"_77":94,"_79":94,"_80":128,"_88":126},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9",{"_82":129,"_84":85,"_86":130},10,8575,{"_17":132,"_69":133,"_71":134,"_73":74,"_75":-5,"_77":135,"_79":135,"_80":136,"_88":134},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_82":137,"_84":85,"_86":138},18,135489,{"_17":140,"_69":91,"_71":92,"_73":74,"_75":68,"_77":141,"_79":141,"_80":142,"_88":144},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_82":85,"_84":85,"_86":143},8597,"termodinamica-5",{"_17":76,"_69":146,"_71":147,"_73":74,"_75":103,"_77":104,"_79":104,"_80":148,"_88":149},"Engenharia de Petróleo","engenharia-de-petroleo",{"_82":106,"_84":85,"_86":87},"engenharia-de-petroleo-1",{"_17":127,"_69":151,"_71":152,"_73":74,"_75":132,"_77":104,"_79":104,"_80":153,"_88":155},"Física","fisica",{"_82":120,"_84":85,"_86":154},13777,"fisica-4",{"_17":103,"_69":157,"_71":158,"_73":74,"_75":-5,"_77":159,"_79":159,"_80":160,"_88":158},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_82":161,"_84":85,"_86":162},29,351586,{"_17":164,"_69":91,"_71":92,"_73":74,"_75":110,"_77":165,"_79":165,"_80":166,"_88":167},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_82":85,"_84":85,"_86":143},"termodinamica-4",{"_14":15,"_16":15,"_17":169,"_19":170,"_38":15,"_39":183,"_65":184},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[171,174,177,180],{"_17":172,"_23":24,"_25":173},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":175,"_23":29,"_25":176},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":178,"_23":33,"_25":179},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":181,"_23":36,"_25":182},"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.

",[67,89,99,109,116,123,131,139,145,150,156,163],{"_14":15,"_16":15,"_17":186,"_19":187,"_38":15,"_39":200,"_65":201},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[188,191,194,197],{"_17":189,"_23":24,"_25":190},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":192,"_23":29,"_25":193},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":195,"_23":33,"_25":196},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":198,"_23":36,"_25":199},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[67,89,99,109,116,123,131,139,145,150,156,163],{"_14":15,"_16":15,"_17":203,"_19":204,"_38":15,"_39":220,"_65":221},"996628fc-4ac3-4821-86bd-839f86a97a6d",[205,208,211,214,217],{"_17":206,"_23":24,"_25":207},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":209,"_23":29,"_25":210},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":212,"_23":33,"_25":213},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":215,"_23":36,"_25":216},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":218,"_23":62,"_25":219},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[67,89,99,109,116,123,131,139,145,150,156,163],{"_14":15,"_16":15,"_17":223,"_19":224,"_38":15,"_39":240,"_65":241},"c478a46c-46a8-4942-ae14-2e79def3dda2",[225,228,231,234,237],{"_17":226,"_23":24,"_25":227},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":229,"_23":29,"_25":230},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":232,"_23":33,"_25":233},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":235,"_23":36,"_25":236},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":238,"_23":62,"_25":239},"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????",[67,89,99,109,116,123,131,139,145,150,156,163],[67,89,99,109,116,123,131,139,145,150,156,163],"tagsTree",[245,252],{"_17":132,"_69":133,"_71":134,"_73":74,"_75":-5,"_77":135,"_79":135,"_80":136,"_88":134,"_246":247},"children",[248],{"_17":127,"_69":151,"_71":152,"_73":74,"_75":132,"_77":104,"_79":104,"_80":153,"_88":155,"_246":249},[250],{"_17":124,"_69":125,"_71":126,"_73":74,"_75":127,"_77":94,"_79":94,"_80":128,"_88":126,"_246":251},[],{"_17":103,"_69":157,"_71":158,"_73":74,"_75":-5,"_77":159,"_79":159,"_80":160,"_88":158,"_246":253},[254,260,264],{"_17":100,"_69":101,"_71":102,"_73":74,"_75":103,"_77":104,"_79":104,"_80":105,"_88":108,"_246":255},[256],{"_17":110,"_69":111,"_71":112,"_73":74,"_75":100,"_77":78,"_79":78,"_80":113,"_88":115,"_246":257},[258],{"_17":164,"_69":91,"_71":92,"_73":74,"_75":110,"_77":165,"_79":165,"_80":166,"_88":167,"_246":259},[],{"_17":93,"_69":117,"_71":118,"_73":74,"_75":103,"_77":104,"_79":104,"_80":119,"_88":122,"_246":261},[262],{"_17":90,"_69":91,"_71":92,"_73":74,"_75":93,"_77":94,"_79":94,"_80":95,"_88":98,"_246":263},[],{"_17":76,"_69":146,"_71":147,"_73":74,"_75":103,"_77":104,"_79":104,"_80":148,"_88":149,"_246":265},[266],{"_17":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":78,"_80":81,"_88":72,"_246":267},[268],{"_17":140,"_69":91,"_71":92,"_73":74,"_75":68,"_77":141,"_79":141,"_80":142,"_88":144,"_246":269},[],"actionData","errors"]

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