[{"_1":2,"_263":-5,"_264":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_32":33,"_34":35,"_58":235,"_236":237},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_29":13,"_30":31},"correctOptionId","","difficulty","id","fc321f70-6e5b-4b1e-ad65-b9eb65b19958","options",[19,25],{"_15":20,"_21":22,"_23":24},"e19fef55-1d9b-4cfe-8da4-771aecfae2b3","label","A","text","Verdadeiro",{"_15":26,"_21":27,"_23":28},"404a9c6e-5d92-4d10-a006-8a1b53e35a73","B","Falso","solution_explanation","statement","

Considerando o que está apontado acima, o Ciclo de Carnot é baseado nas Leis da Termodinâmica; com base nisso, a primeira e a segunda lei da termodinâmica defendem que: os processos de troca de calor possuem direção específica na transformação de energia.

","relatedVideos",[],"similarQuestions",[36,161,178,195,215],{"_12":13,"_14":13,"_15":37,"_17":38,"_29":13,"_30":57,"_58":59},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[39,42,45,49,53],{"_15":40,"_21":22,"_23":41},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_15":43,"_21":27,"_23":44},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_15":46,"_21":47,"_23":48},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_15":50,"_21":51,"_23":52},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_15":54,"_21":55,"_23":56},"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",[60,82,92,102,109,116,124,132,138,143,149,156],{"_15":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":65},"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",{"_75":76,"_77":78,"_79":80},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_15":83,"_62":84,"_64":85,"_66":67,"_68":86,"_70":87,"_72":87,"_73":88,"_81":91},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","Termodinâmica","termodinamica","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0","2025-04-29T03:44:27.560682+00:00",{"_75":89,"_77":78,"_79":90},2,11846,"termodinamica-3",{"_15":93,"_62":94,"_64":95,"_66":67,"_68":96,"_70":97,"_72":97,"_73":98,"_81":101},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_75":99,"_77":78,"_79":100},5,30614,"engenharia-mecatronica-1",{"_15":103,"_62":104,"_64":105,"_66":67,"_68":93,"_70":71,"_72":71,"_73":106,"_81":108},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_75":99,"_77":78,"_79":107},25741,"mecanica-3",{"_15":86,"_62":110,"_64":111,"_66":67,"_68":96,"_70":97,"_72":97,"_73":112,"_81":115},"Engenharia Mecânica","engenharia-mecanica",{"_75":113,"_77":78,"_79":114},11,36318,"engenharia-mecanica-2",{"_15":117,"_62":118,"_64":119,"_66":67,"_68":120,"_70":87,"_72":87,"_73":121,"_81":119},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9",{"_75":122,"_77":78,"_79":123},10,8575,{"_15":125,"_62":126,"_64":127,"_66":67,"_68":-5,"_70":128,"_72":128,"_73":129,"_81":127},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_75":130,"_77":78,"_79":131},18,135489,{"_15":133,"_62":84,"_64":85,"_66":67,"_68":61,"_70":134,"_72":134,"_73":135,"_81":137},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_75":78,"_77":78,"_79":136},8597,"termodinamica-5",{"_15":69,"_62":139,"_64":140,"_66":67,"_68":96,"_70":97,"_72":97,"_73":141,"_81":142},"Engenharia de Petróleo","engenharia-de-petroleo",{"_75":99,"_77":78,"_79":80},"engenharia-de-petroleo-1",{"_15":120,"_62":144,"_64":145,"_66":67,"_68":125,"_70":97,"_72":97,"_73":146,"_81":148},"Física","fisica",{"_75":113,"_77":78,"_79":147},13777,"fisica-4",{"_15":96,"_62":150,"_64":151,"_66":67,"_68":-5,"_70":152,"_72":152,"_73":153,"_81":151},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_75":154,"_77":78,"_79":155},29,351586,{"_15":157,"_62":84,"_64":85,"_66":67,"_68":103,"_70":158,"_72":158,"_73":159,"_81":160},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_75":78,"_77":78,"_79":136},"termodinamica-4",{"_12":13,"_14":13,"_15":162,"_17":163,"_29":13,"_30":176,"_58":177},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[164,167,170,173],{"_15":165,"_21":22,"_23":166},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_15":168,"_21":27,"_23":169},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_15":171,"_21":47,"_23":172},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_15":174,"_21":51,"_23":175},"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.

",[60,82,92,102,109,116,124,132,138,143,149,156],{"_12":13,"_14":13,"_15":179,"_17":180,"_29":13,"_30":193,"_58":194},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[181,184,187,190],{"_15":182,"_21":22,"_23":183},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_15":185,"_21":27,"_23":186},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_15":188,"_21":47,"_23":189},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_15":191,"_21":51,"_23":192},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[60,82,92,102,109,116,124,132,138,143,149,156],{"_12":13,"_14":13,"_15":196,"_17":197,"_29":13,"_30":213,"_58":214},"996628fc-4ac3-4821-86bd-839f86a97a6d",[198,201,204,207,210],{"_15":199,"_21":22,"_23":200},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_15":202,"_21":27,"_23":203},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_15":205,"_21":47,"_23":206},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_15":208,"_21":51,"_23":209},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_15":211,"_21":55,"_23":212},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[60,82,92,102,109,116,124,132,138,143,149,156],{"_12":13,"_14":13,"_15":216,"_17":217,"_29":13,"_30":233,"_58":234},"c478a46c-46a8-4942-ae14-2e79def3dda2",[218,221,224,227,230],{"_15":219,"_21":22,"_23":220},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_15":222,"_21":27,"_23":223},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_15":225,"_21":47,"_23":226},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_15":228,"_21":51,"_23":229},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_15":231,"_21":55,"_23":232},"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????",[60,82,92,102,109,116,124,132,138,143,149,156],[60,82,92,102,109,116,124,132,138,143,149,156],"tagsTree",[238,245],{"_15":125,"_62":126,"_64":127,"_66":67,"_68":-5,"_70":128,"_72":128,"_73":129,"_81":127,"_239":240},"children",[241],{"_15":120,"_62":144,"_64":145,"_66":67,"_68":125,"_70":97,"_72":97,"_73":146,"_81":148,"_239":242},[243],{"_15":117,"_62":118,"_64":119,"_66":67,"_68":120,"_70":87,"_72":87,"_73":121,"_81":119,"_239":244},[],{"_15":96,"_62":150,"_64":151,"_66":67,"_68":-5,"_70":152,"_72":152,"_73":153,"_81":151,"_239":246},[247,253,257],{"_15":93,"_62":94,"_64":95,"_66":67,"_68":96,"_70":97,"_72":97,"_73":98,"_81":101,"_239":248},[249],{"_15":103,"_62":104,"_64":105,"_66":67,"_68":93,"_70":71,"_72":71,"_73":106,"_81":108,"_239":250},[251],{"_15":157,"_62":84,"_64":85,"_66":67,"_68":103,"_70":158,"_72":158,"_73":159,"_81":160,"_239":252},[],{"_15":86,"_62":110,"_64":111,"_66":67,"_68":96,"_70":97,"_72":97,"_73":112,"_81":115,"_239":254},[255],{"_15":83,"_62":84,"_64":85,"_66":67,"_68":86,"_70":87,"_72":87,"_73":88,"_81":91,"_239":256},[],{"_15":69,"_62":139,"_64":140,"_66":67,"_68":96,"_70":97,"_72":97,"_73":141,"_81":142,"_239":258},[259],{"_15":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":65,"_239":260},[261],{"_15":133,"_62":84,"_64":85,"_66":67,"_68":61,"_70":134,"_72":134,"_73":135,"_81":137,"_239":262},[],"actionData","errors"]

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