[{"_1":2,"_272":-5,"_273":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_44":45,"_46":47,"_67":244,"_245":246},"comments",[],"question",{"_12":13,"_14":15,"_16":17,"_18":19,"_41":15,"_42":43},"correctOptionId","db594eab-d252-4f9e-87c5-6af31616e443","difficulty","","id","fe680b4f-afbc-4990-a370-4c507a4e0dcc","options",[20,26,30,33,37],{"_16":21,"_22":23,"_24":25},"d7a061f0-0dd9-4ae8-a646-1cfd871d2d90","label","A","text","Alternativa A",{"_16":27,"_22":28,"_24":29},"a1dd36a9-69d8-4bbd-821a-49c351dae02b","B","Alternativa B",{"_16":13,"_22":31,"_24":32},"C","Alternativa C",{"_16":34,"_22":35,"_24":36},"bce01588-8411-4349-a07d-b5c8d189d774","D","Alternativa D",{"_16":38,"_22":39,"_24":40},"18fd526f-945f-4be8-a720-10537ae10cdd","E","Alternativa E","solution_explanation","statement","

Uma máquina cíclica é utilizada para transferir calor de um reservatório térmico a alta temperatura (Q_H = 325 \text{ kJ}) para outro a baixa temperatura (Q_L = 125 \text{ kJ}). Além disso, são obtidos 200 \text{ kJ} de trabalho nesse ciclo.

","relatedVideos",[],"similarQuestions",[48,170,187,204,224],{"_12":15,"_14":15,"_16":49,"_18":50,"_41":15,"_42":66,"_67":68},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[51,54,57,60,63],{"_16":52,"_22":23,"_24":53},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_16":55,"_22":28,"_24":56},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_16":58,"_22":31,"_24":59},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_16":61,"_22":35,"_24":62},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_16":64,"_22":39,"_24":65},"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

","tags",[69,91,101,111,118,125,133,141,147,152,158,165],{"_16":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":80,"_81":80,"_82":83,"_90":74},"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",{"_84":85,"_86":87,"_88":89},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_16":92,"_71":93,"_73":94,"_75":76,"_77":95,"_79":96,"_81":96,"_82":97,"_90":100},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","Termodinâmica","termodinamica","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0","2025-04-29T03:44:27.560682+00:00",{"_84":98,"_86":87,"_88":99},2,11846,"termodinamica-3",{"_16":102,"_71":103,"_73":104,"_75":76,"_77":105,"_79":106,"_81":106,"_82":107,"_90":110},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_84":108,"_86":87,"_88":109},5,30614,"engenharia-mecatronica-1",{"_16":112,"_71":113,"_73":114,"_75":76,"_77":102,"_79":80,"_81":80,"_82":115,"_90":117},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_84":108,"_86":87,"_88":116},25741,"mecanica-3",{"_16":95,"_71":119,"_73":120,"_75":76,"_77":105,"_79":106,"_81":106,"_82":121,"_90":124},"Engenharia Mecânica","engenharia-mecanica",{"_84":122,"_86":87,"_88":123},11,36318,"engenharia-mecanica-2",{"_16":126,"_71":127,"_73":128,"_75":76,"_77":129,"_79":96,"_81":96,"_82":130,"_90":128},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9",{"_84":131,"_86":87,"_88":132},10,8575,{"_16":134,"_71":135,"_73":136,"_75":76,"_77":-5,"_79":137,"_81":137,"_82":138,"_90":136},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_84":139,"_86":87,"_88":140},18,135489,{"_16":142,"_71":93,"_73":94,"_75":76,"_77":70,"_79":143,"_81":143,"_82":144,"_90":146},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_84":87,"_86":87,"_88":145},8597,"termodinamica-5",{"_16":78,"_71":148,"_73":149,"_75":76,"_77":105,"_79":106,"_81":106,"_82":150,"_90":151},"Engenharia de Petróleo","engenharia-de-petroleo",{"_84":108,"_86":87,"_88":89},"engenharia-de-petroleo-1",{"_16":129,"_71":153,"_73":154,"_75":76,"_77":134,"_79":106,"_81":106,"_82":155,"_90":157},"Física","fisica",{"_84":122,"_86":87,"_88":156},13777,"fisica-4",{"_16":105,"_71":159,"_73":160,"_75":76,"_77":-5,"_79":161,"_81":161,"_82":162,"_90":160},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_84":163,"_86":87,"_88":164},29,351586,{"_16":166,"_71":93,"_73":94,"_75":76,"_77":112,"_79":167,"_81":167,"_82":168,"_90":169},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_84":87,"_86":87,"_88":145},"termodinamica-4",{"_12":15,"_14":15,"_16":171,"_18":172,"_41":15,"_42":185,"_67":186},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[173,176,179,182],{"_16":174,"_22":23,"_24":175},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_16":177,"_22":28,"_24":178},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_16":180,"_22":31,"_24":181},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_16":183,"_22":35,"_24":184},"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.

",[69,91,101,111,118,125,133,141,147,152,158,165],{"_12":15,"_14":15,"_16":188,"_18":189,"_41":15,"_42":202,"_67":203},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[190,193,196,199],{"_16":191,"_22":23,"_24":192},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_16":194,"_22":28,"_24":195},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_16":197,"_22":31,"_24":198},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_16":200,"_22":35,"_24":201},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[69,91,101,111,118,125,133,141,147,152,158,165],{"_12":15,"_14":15,"_16":205,"_18":206,"_41":15,"_42":222,"_67":223},"996628fc-4ac3-4821-86bd-839f86a97a6d",[207,210,213,216,219],{"_16":208,"_22":23,"_24":209},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_16":211,"_22":28,"_24":212},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_16":214,"_22":31,"_24":215},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_16":217,"_22":35,"_24":218},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_16":220,"_22":39,"_24":221},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[69,91,101,111,118,125,133,141,147,152,158,165],{"_12":15,"_14":15,"_16":225,"_18":226,"_41":15,"_42":242,"_67":243},"c478a46c-46a8-4942-ae14-2e79def3dda2",[227,230,233,236,239],{"_16":228,"_22":23,"_24":229},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_16":231,"_22":28,"_24":232},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_16":234,"_22":31,"_24":235},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_16":237,"_22":35,"_24":238},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_16":240,"_22":39,"_24":241},"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????",[69,91,101,111,118,125,133,141,147,152,158,165],[69,91,101,111,118,125,133,141,147,152,158,165],"tagsTree",[247,254],{"_16":134,"_71":135,"_73":136,"_75":76,"_77":-5,"_79":137,"_81":137,"_82":138,"_90":136,"_248":249},"children",[250],{"_16":129,"_71":153,"_73":154,"_75":76,"_77":134,"_79":106,"_81":106,"_82":155,"_90":157,"_248":251},[252],{"_16":126,"_71":127,"_73":128,"_75":76,"_77":129,"_79":96,"_81":96,"_82":130,"_90":128,"_248":253},[],{"_16":105,"_71":159,"_73":160,"_75":76,"_77":-5,"_79":161,"_81":161,"_82":162,"_90":160,"_248":255},[256,262,266],{"_16":102,"_71":103,"_73":104,"_75":76,"_77":105,"_79":106,"_81":106,"_82":107,"_90":110,"_248":257},[258],{"_16":112,"_71":113,"_73":114,"_75":76,"_77":102,"_79":80,"_81":80,"_82":115,"_90":117,"_248":259},[260],{"_16":166,"_71":93,"_73":94,"_75":76,"_77":112,"_79":167,"_81":167,"_82":168,"_90":169,"_248":261},[],{"_16":95,"_71":119,"_73":120,"_75":76,"_77":105,"_79":106,"_81":106,"_82":121,"_90":124,"_248":263},[264],{"_16":92,"_71":93,"_73":94,"_75":76,"_77":95,"_79":96,"_81":96,"_82":97,"_90":100,"_248":265},[],{"_16":78,"_71":148,"_73":149,"_75":76,"_77":105,"_79":106,"_81":106,"_82":150,"_90":151,"_248":267},[268],{"_16":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":80,"_81":80,"_82":83,"_90":74,"_248":269},[270],{"_16":142,"_71":93,"_73":94,"_75":76,"_77":70,"_79":143,"_81":143,"_82":144,"_90":146,"_248":271},[],"actionData","errors"]

Aulas em vídeo Em breve

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