[{"_1":2,"_203":-5,"_204":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/fb15a543-ed0f-4fbd-85f0-d71b45e8e58f","user","pages/questions/show/index",{"_10":11,"_12":13,"_46":47,"_48":49,"_69":191,"_192":193},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_41":15,"_42":43,"_44":45},"correctOptionId","","difficulty","id","fb15a543-ed0f-4fbd-85f0-d71b45e8e58f","options",[21,27,30,34,37],{"_17":22,"_23":24,"_25":26},"7b6572c9-906d-49d0-ba52-8218ad9d86bc","label","A","text","-0,00324 m",{"_17":28,"_23":29,"_25":26},"43268e99-1ec8-46f4-b3d5-c07611a43af4","B",{"_17":31,"_23":32,"_25":33},"8af7c177-16d1-4986-adb2-baabe941a37c","C","-0,01944 m",{"_17":35,"_23":36,"_25":26},"97df28b6-746b-427a-90d8-1ee8e14310b0","D",{"_17":38,"_23":39,"_25":40},"da88decc-fc9b-43c5-9594-97f6a80fe494","E","0,01944 m","solution_explanation","statement","

Uma viga com seis metros de comprimento e E. I = 105 \text{kN} \bullet \text{m}^2 possui os diagramas de momentos fletores apresentados na figura a seguir para os casos (0) e (1). Determine o valor do termo de carga \u0003B4_{10} desta viga e assinale a alternativa correta.

","status","has_issues","relatedVideos",[],"similarQuestions",[50,117,134,151,171],{"_14":15,"_16":15,"_17":51,"_19":52,"_41":15,"_42":68,"_69":70},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[53,56,59,62,65],{"_17":54,"_23":24,"_25":55},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_17":57,"_23":29,"_25":58},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_17":60,"_23":32,"_25":61},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_17":63,"_23":36,"_25":64},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_17":66,"_23":39,"_25":67},"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",[71,94,103,110],{"_17":72,"_73":74,"_75":76,"_77":78,"_79":80,"_81":82,"_83":82,"_84":85,"_92":93},"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",{"_86":87,"_88":89,"_90":91},"childrenCount",21,"content_count",0,"question_count",45865,"slug","engenharia-civil-3",{"_17":95,"_73":96,"_75":97,"_77":78,"_79":72,"_81":98,"_83":98,"_84":99,"_92":102},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_86":100,"_88":89,"_90":101},5,8852,"estruturas-1",{"_17":104,"_73":105,"_75":106,"_77":78,"_79":95,"_81":107,"_83":107,"_84":108,"_92":106},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_86":89,"_88":89,"_90":109},4694,{"_17":80,"_73":111,"_75":112,"_77":78,"_79":-5,"_81":113,"_83":113,"_84":114,"_92":112},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_86":115,"_88":89,"_90":116},29,351586,{"_14":15,"_16":15,"_17":118,"_19":119,"_41":15,"_42":132,"_69":133},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[120,123,126,129],{"_17":121,"_23":24,"_25":122},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":124,"_23":29,"_25":125},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":127,"_23":32,"_25":128},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":130,"_23":36,"_25":131},"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.

",[71,94,103,110],{"_14":15,"_16":15,"_17":135,"_19":136,"_41":15,"_42":149,"_69":150},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[137,140,143,146],{"_17":138,"_23":24,"_25":139},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":141,"_23":29,"_25":142},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":144,"_23":32,"_25":145},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":147,"_23":36,"_25":148},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[71,94,103,110],{"_14":15,"_16":15,"_17":152,"_19":153,"_41":15,"_42":169,"_69":170},"996628fc-4ac3-4821-86bd-839f86a97a6d",[154,157,160,163,166],{"_17":155,"_23":24,"_25":156},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":158,"_23":29,"_25":159},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":161,"_23":32,"_25":162},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":164,"_23":36,"_25":165},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":167,"_23":39,"_25":168},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[71,94,103,110],{"_14":15,"_16":15,"_17":172,"_19":173,"_41":15,"_42":189,"_69":190},"c478a46c-46a8-4942-ae14-2e79def3dda2",[174,177,180,183,186],{"_17":175,"_23":24,"_25":176},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":178,"_23":29,"_25":179},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":181,"_23":32,"_25":182},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":184,"_23":36,"_25":185},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":187,"_23":39,"_25":188},"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????",[71,94,103,110],[71,94,103,110],"tagsTree",[194],{"_17":80,"_73":111,"_75":112,"_77":78,"_79":-5,"_81":113,"_83":113,"_84":114,"_92":112,"_195":196},"children",[197],{"_17":72,"_73":74,"_75":76,"_77":78,"_79":80,"_81":82,"_83":82,"_84":85,"_92":93,"_195":198},[199],{"_17":95,"_73":96,"_75":97,"_77":78,"_79":72,"_81":98,"_83":98,"_84":99,"_92":102,"_195":200},[201],{"_17":104,"_73":105,"_75":106,"_77":78,"_79":95,"_81":107,"_83":107,"_84":108,"_92":106,"_195":202},[],"actionData","errors"]

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