[{"_1":2,"_195":-5,"_196":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/cd4e98b4-b3fe-459b-9533-d68c3ace5903","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_34":35,"_36":37,"_61":183,"_184":185},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":17,"_19":20,"_21":22,"_29":17,"_30":31,"_32":33},"correctOptionId","","difficulty","id","cd4e98b4-b3fe-459b-9533-d68c3ace5903","options",[23],{"_19":24,"_25":26,"_27":28},"eb53d249-92de-4583-9948-5a4f76b87c11","label","A","text","Um momento de torção externo vai gerar um momento de torção interno, que irá gerar uma tensão de cisalhamento.","solution_explanation","statement","

Conforme as análises apresentadas sobre torção. É correto afirmar:

","status","has_issues","relatedVideos",[],"similarQuestions",[38,109,126,143,163],{"_16":17,"_18":17,"_19":39,"_21":40,"_29":17,"_30":60,"_61":62},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[41,44,48,52,56],{"_19":42,"_25":26,"_27":43},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_19":45,"_25":46,"_27":47},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_19":49,"_25":50,"_27":51},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_19":53,"_25":54,"_27":55},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_19":57,"_25":58,"_27":59},"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",[63,86,95,102],{"_19":64,"_65":66,"_67":68,"_69":70,"_71":72,"_73":74,"_75":74,"_76":77,"_84":85},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","name","Engenharia Civil","alias","engenharia-civil","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","eb9315c5-bd04-4116-aa46-02c4fde320c0","created_at","2025-04-29T02:19:12.828432+00:00","updated_at","metadata",{"_78":79,"_80":81,"_82":83},"childrenCount",21,"content_count",0,"question_count",45865,"slug","engenharia-civil-3",{"_19":87,"_65":88,"_67":89,"_69":70,"_71":64,"_73":90,"_75":90,"_76":91,"_84":94},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_78":92,"_80":81,"_82":93},5,8852,"estruturas-1",{"_19":96,"_65":97,"_67":98,"_69":70,"_71":87,"_73":99,"_75":99,"_76":100,"_84":98},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_78":81,"_80":81,"_82":101},4694,{"_19":72,"_65":103,"_67":104,"_69":70,"_71":-5,"_73":105,"_75":105,"_76":106,"_84":104},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_78":107,"_80":81,"_82":108},29,351586,{"_16":17,"_18":17,"_19":110,"_21":111,"_29":17,"_30":124,"_61":125},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[112,115,118,121],{"_19":113,"_25":26,"_27":114},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_19":116,"_25":46,"_27":117},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_19":119,"_25":50,"_27":120},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_19":122,"_25":54,"_27":123},"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.

",[63,86,95,102],{"_16":17,"_18":17,"_19":127,"_21":128,"_29":17,"_30":141,"_61":142},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[129,132,135,138],{"_19":130,"_25":26,"_27":131},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_19":133,"_25":46,"_27":134},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_19":136,"_25":50,"_27":137},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_19":139,"_25":54,"_27":140},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[63,86,95,102],{"_16":17,"_18":17,"_19":144,"_21":145,"_29":17,"_30":161,"_61":162},"996628fc-4ac3-4821-86bd-839f86a97a6d",[146,149,152,155,158],{"_19":147,"_25":26,"_27":148},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_19":150,"_25":46,"_27":151},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_19":153,"_25":50,"_27":154},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_19":156,"_25":54,"_27":157},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_19":159,"_25":58,"_27":160},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[63,86,95,102],{"_16":17,"_18":17,"_19":164,"_21":165,"_29":17,"_30":181,"_61":182},"c478a46c-46a8-4942-ae14-2e79def3dda2",[166,169,172,175,178],{"_19":167,"_25":26,"_27":168},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_19":170,"_25":46,"_27":171},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_19":173,"_25":50,"_27":174},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_19":176,"_25":54,"_27":177},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_19":179,"_25":58,"_27":180},"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????",[63,86,95,102],[63,86,95,102],"tagsTree",[186],{"_19":72,"_65":103,"_67":104,"_69":70,"_71":-5,"_73":105,"_75":105,"_76":106,"_84":104,"_187":188},"children",[189],{"_19":64,"_65":66,"_67":68,"_69":70,"_71":72,"_73":74,"_75":74,"_76":77,"_84":85,"_187":190},[191],{"_19":87,"_65":88,"_67":89,"_69":70,"_71":64,"_73":90,"_75":90,"_76":91,"_84":94,"_187":192},[193],{"_19":96,"_65":97,"_67":98,"_69":70,"_71":87,"_73":99,"_75":99,"_76":100,"_84":98,"_187":194},[],"actionData","errors"]

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