[{"_1":2,"_199":-5,"_200":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/f4779e6f-8caf-4f86-a6c4-7fc8758b475b","user","pages/questions/show/index",{"_10":11,"_12":13,"_40":41,"_42":43,"_65":187,"_188":189},"comments",[],"question",{"_14":15,"_16":17,"_18":19,"_20":21,"_35":17,"_36":37,"_38":39},"correctOptionId","2e56d2b3-0220-4bb1-b5d9-48f6ba155654","difficulty","","id","f4779e6f-8caf-4f86-a6c4-7fc8758b475b","options",[22,27,31],{"_18":15,"_23":24,"_25":26},"label","A","text","

To calculate the section of the beam.

",{"_18":28,"_23":29,"_25":30},"f5284b4c-4e6a-4513-9606-4e7a83486703","B","

To calculate the section of the slab.

",{"_18":32,"_23":33,"_25":34},"e5fc6bec-053e-4eea-a9da-e8794f6e1d0b","C","

To calculate the section of the column.

","solution_explanation","statement","

What is the purpose of the presented project?

","status","pending_classification","relatedVideos",[],"similarQuestions",[44,113,130,147,167],{"_14":17,"_16":17,"_18":45,"_20":46,"_35":17,"_36":64,"_65":66},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[47,50,53,56,60],{"_18":48,"_23":24,"_25":49},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_18":51,"_23":29,"_25":52},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_18":54,"_23":33,"_25":55},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_18":57,"_23":58,"_25":59},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_18":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",[67,90,99,106],{"_18":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":78,"_80":81,"_88":89},"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",{"_82":83,"_84":85,"_86":87},"childrenCount",21,"content_count",0,"question_count",45865,"slug","engenharia-civil-3",{"_18":91,"_69":92,"_71":93,"_73":74,"_75":68,"_77":94,"_79":94,"_80":95,"_88":98},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_82":96,"_84":85,"_86":97},5,8852,"estruturas-1",{"_18":100,"_69":101,"_71":102,"_73":74,"_75":91,"_77":103,"_79":103,"_80":104,"_88":102},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_82":85,"_84":85,"_86":105},4694,{"_18":76,"_69":107,"_71":108,"_73":74,"_75":-5,"_77":109,"_79":109,"_80":110,"_88":108},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_82":111,"_84":85,"_86":112},29,351586,{"_14":17,"_16":17,"_18":114,"_20":115,"_35":17,"_36":128,"_65":129},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[116,119,122,125],{"_18":117,"_23":24,"_25":118},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_18":120,"_23":29,"_25":121},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_18":123,"_23":33,"_25":124},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_18":126,"_23":58,"_25":127},"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.

",[67,90,99,106],{"_14":17,"_16":17,"_18":131,"_20":132,"_35":17,"_36":145,"_65":146},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[133,136,139,142],{"_18":134,"_23":24,"_25":135},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_18":137,"_23":29,"_25":138},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_18":140,"_23":33,"_25":141},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_18":143,"_23":58,"_25":144},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[67,90,99,106],{"_14":17,"_16":17,"_18":148,"_20":149,"_35":17,"_36":165,"_65":166},"996628fc-4ac3-4821-86bd-839f86a97a6d",[150,153,156,159,162],{"_18":151,"_23":24,"_25":152},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_18":154,"_23":29,"_25":155},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_18":157,"_23":33,"_25":158},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_18":160,"_23":58,"_25":161},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_18":163,"_23":62,"_25":164},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[67,90,99,106],{"_14":17,"_16":17,"_18":168,"_20":169,"_35":17,"_36":185,"_65":186},"c478a46c-46a8-4942-ae14-2e79def3dda2",[170,173,176,179,182],{"_18":171,"_23":24,"_25":172},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_18":174,"_23":29,"_25":175},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_18":177,"_23":33,"_25":178},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_18":180,"_23":58,"_25":181},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_18":183,"_23":62,"_25":184},"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????",[67,90,99,106],[67,90,99,106],"tagsTree",[190],{"_18":76,"_69":107,"_71":108,"_73":74,"_75":-5,"_77":109,"_79":109,"_80":110,"_88":108,"_191":192},"children",[193],{"_18":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":78,"_80":81,"_88":89,"_191":194},[195],{"_18":91,"_69":92,"_71":93,"_73":74,"_75":68,"_77":94,"_79":94,"_80":95,"_88":98,"_191":196},[197],{"_18":100,"_69":101,"_71":102,"_73":74,"_75":91,"_77":103,"_79":103,"_80":104,"_88":102,"_191":198},[],"actionData","errors"]

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