[{"_1":2,"_192":-5,"_193":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/e0856cac-aa3d-455e-9dca-213ddeb8be00","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_28":29,"_30":31,"_58":180,"_181":182},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":17,"_19":20,"_21":22,"_23":17,"_24":25,"_26":27},"correctOptionId","","difficulty","id","e0856cac-aa3d-455e-9dca-213ddeb8be00","options",[],"solution_explanation","statement","

Considere uma viga em que os segmentos CA = AD = DE = EF = FB = 1 \text{ m}. O carregamento externo é tal que o diagrama do esforço cortante (DEC) é apresentado na figura.

Determine o momento fletor que atua na seção reta que passa pelo ponto E. Dados: Momento fletor = área sob à curva do esforço cortante e unidade do DEC em \text{kN}.

","status","has_issues","relatedVideos",[],"similarQuestions",[32,106,123,140,160],{"_16":17,"_18":17,"_19":33,"_21":34,"_23":17,"_24":57,"_58":59},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[35,41,45,49,53],{"_19":36,"_37":38,"_39":40},"265bd71a-6749-41f5-b291-67efd646ca64","label","A","text","y'' + 2y' - 3y = 0",{"_19":42,"_37":43,"_39":44},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_19":46,"_37":47,"_39":48},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_19":50,"_37":51,"_39":52},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_19":54,"_37":55,"_39":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",[60,83,92,99],{"_19":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":82},"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",{"_75":76,"_77":78,"_79":80},"childrenCount",21,"content_count",0,"question_count",45865,"slug","engenharia-civil-3",{"_19":84,"_62":85,"_64":86,"_66":67,"_68":61,"_70":87,"_72":87,"_73":88,"_81":91},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_75":89,"_77":78,"_79":90},5,8852,"estruturas-1",{"_19":93,"_62":94,"_64":95,"_66":67,"_68":84,"_70":96,"_72":96,"_73":97,"_81":95},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_75":78,"_77":78,"_79":98},4694,{"_19":69,"_62":100,"_64":101,"_66":67,"_68":-5,"_70":102,"_72":102,"_73":103,"_81":101},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_75":104,"_77":78,"_79":105},29,351586,{"_16":17,"_18":17,"_19":107,"_21":108,"_23":17,"_24":121,"_58":122},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[109,112,115,118],{"_19":110,"_37":38,"_39":111},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_19":113,"_37":43,"_39":114},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_19":116,"_37":47,"_39":117},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_19":119,"_37":51,"_39":120},"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.

",[60,83,92,99],{"_16":17,"_18":17,"_19":124,"_21":125,"_23":17,"_24":138,"_58":139},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[126,129,132,135],{"_19":127,"_37":38,"_39":128},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_19":130,"_37":43,"_39":131},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_19":133,"_37":47,"_39":134},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_19":136,"_37":51,"_39":137},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[60,83,92,99],{"_16":17,"_18":17,"_19":141,"_21":142,"_23":17,"_24":158,"_58":159},"996628fc-4ac3-4821-86bd-839f86a97a6d",[143,146,149,152,155],{"_19":144,"_37":38,"_39":145},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_19":147,"_37":43,"_39":148},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_19":150,"_37":47,"_39":151},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_19":153,"_37":51,"_39":154},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_19":156,"_37":55,"_39":157},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[60,83,92,99],{"_16":17,"_18":17,"_19":161,"_21":162,"_23":17,"_24":178,"_58":179},"c478a46c-46a8-4942-ae14-2e79def3dda2",[163,166,169,172,175],{"_19":164,"_37":38,"_39":165},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_19":167,"_37":43,"_39":168},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_19":170,"_37":47,"_39":171},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_19":173,"_37":51,"_39":174},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_19":176,"_37":55,"_39":177},"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????",[60,83,92,99],[60,83,92,99],"tagsTree",[183],{"_19":69,"_62":100,"_64":101,"_66":67,"_68":-5,"_70":102,"_72":102,"_73":103,"_81":101,"_184":185},"children",[186],{"_19":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":82,"_184":187},[188],{"_19":84,"_62":85,"_64":86,"_66":67,"_68":61,"_70":87,"_72":87,"_73":88,"_81":91,"_184":189},[190],{"_19":93,"_62":94,"_64":95,"_66":67,"_68":84,"_70":96,"_72":96,"_73":97,"_81":95,"_184":191},[],"actionData","errors"]

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