[{"_1":2,"_205":-5,"_206":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/f2398dac-2021-480d-8fef-7398d52e1e3b","user","pages/questions/show/index",{"_10":11,"_12":13,"_48":49,"_50":51,"_71":193,"_194":195},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_43":15,"_44":45,"_46":47},"correctOptionId","","difficulty","id","f2398dac-2021-480d-8fef-7398d52e1e3b","options",[21,27,31,35,39],{"_17":22,"_23":24,"_25":26},"35c5ba15-7545-423f-bf1a-2fe83a359664","label","A","text","1mm",{"_17":28,"_23":29,"_25":30},"a1341d3d-84d0-47c5-af3b-8429aaf7410f","B","2mm",{"_17":32,"_23":33,"_25":34},"563da5f6-00e5-4a9f-a07d-dc14b9cc33ac","C","3mm",{"_17":36,"_23":37,"_25":38},"3b5e0856-1546-40d2-845b-2072450d8224","D","4mm",{"_17":40,"_23":41,"_25":42},"2146a243-0c96-4c99-8ea8-7788585f9a99","E","5mm","solution_explanation","statement","

Análise e Comportamento de Estruturas Hiperestáticas

O pórtico a seguir é construído com um coeficiente de dilatação \\alpha = 10^{-5}/^{\\circ}C. Pede-se, dentre as opções, o deslocamento vertical no ponto marcado da estrutura, quando há uma diminuição uniforme de 30^{\\circ} C.

","status","pending_classification","relatedVideos",[],"similarQuestions",[52,119,136,153,173],{"_14":15,"_16":15,"_17":53,"_19":54,"_43":15,"_44":70,"_71":72},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[55,58,61,64,67],{"_17":56,"_23":24,"_25":57},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_17":59,"_23":29,"_25":60},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_17":62,"_23":33,"_25":63},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_17":65,"_23":37,"_25":66},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_17":68,"_23":41,"_25":69},"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",[73,96,105,112],{"_17":74,"_75":76,"_77":78,"_79":80,"_81":82,"_83":84,"_85":84,"_86":87,"_94":95},"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",{"_88":89,"_90":91,"_92":93},"childrenCount",21,"content_count",0,"question_count",45865,"slug","engenharia-civil-3",{"_17":97,"_75":98,"_77":99,"_79":80,"_81":74,"_83":100,"_85":100,"_86":101,"_94":104},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_88":102,"_90":91,"_92":103},5,8852,"estruturas-1",{"_17":106,"_75":107,"_77":108,"_79":80,"_81":97,"_83":109,"_85":109,"_86":110,"_94":108},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_88":91,"_90":91,"_92":111},4694,{"_17":82,"_75":113,"_77":114,"_79":80,"_81":-5,"_83":115,"_85":115,"_86":116,"_94":114},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_88":117,"_90":91,"_92":118},29,351586,{"_14":15,"_16":15,"_17":120,"_19":121,"_43":15,"_44":134,"_71":135},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[122,125,128,131],{"_17":123,"_23":24,"_25":124},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":126,"_23":29,"_25":127},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":129,"_23":33,"_25":130},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":132,"_23":37,"_25":133},"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.

",[73,96,105,112],{"_14":15,"_16":15,"_17":137,"_19":138,"_43":15,"_44":151,"_71":152},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[139,142,145,148],{"_17":140,"_23":24,"_25":141},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":143,"_23":29,"_25":144},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":146,"_23":33,"_25":147},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":149,"_23":37,"_25":150},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[73,96,105,112],{"_14":15,"_16":15,"_17":154,"_19":155,"_43":15,"_44":171,"_71":172},"996628fc-4ac3-4821-86bd-839f86a97a6d",[156,159,162,165,168],{"_17":157,"_23":24,"_25":158},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":160,"_23":29,"_25":161},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":163,"_23":33,"_25":164},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":166,"_23":37,"_25":167},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":169,"_23":41,"_25":170},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[73,96,105,112],{"_14":15,"_16":15,"_17":174,"_19":175,"_43":15,"_44":191,"_71":192},"c478a46c-46a8-4942-ae14-2e79def3dda2",[176,179,182,185,188],{"_17":177,"_23":24,"_25":178},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":180,"_23":29,"_25":181},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":183,"_23":33,"_25":184},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":186,"_23":37,"_25":187},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":189,"_23":41,"_25":190},"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????",[73,96,105,112],[73,96,105,112],"tagsTree",[196],{"_17":82,"_75":113,"_77":114,"_79":80,"_81":-5,"_83":115,"_85":115,"_86":116,"_94":114,"_197":198},"children",[199],{"_17":74,"_75":76,"_77":78,"_79":80,"_81":82,"_83":84,"_85":84,"_86":87,"_94":95,"_197":200},[201],{"_17":97,"_75":98,"_77":99,"_79":80,"_81":74,"_83":100,"_85":100,"_86":101,"_94":104,"_197":202},[203],{"_17":106,"_75":107,"_77":108,"_79":80,"_81":97,"_83":109,"_85":109,"_86":110,"_94":108,"_197":204},[],"actionData","errors"]

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