[{"_1":2,"_205":-5,"_206":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/ccc5aba1-1fdf-4d9f-9a8d-30b50511afd3","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_48":49,"_50":51,"_71":193,"_194":195},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":17,"_19":20,"_21":22,"_43":17,"_44":45,"_46":47},"correctOptionId","","difficulty","id","ccc5aba1-1fdf-4d9f-9a8d-30b50511afd3","options",[23,29,33,37,40],{"_19":24,"_25":26,"_27":28},"2dfc0ebb-f6ae-4832-8e6d-45d33b0a52f2","label","A","text","Engate Elástico",{"_19":30,"_25":31,"_27":32},"72f90697-6777-4d4b-96dc-d108ae6751ae","B","Apoio Simples",{"_19":34,"_25":35,"_27":36},"151e9bd1-33bd-45bf-ac68-b047f55bcbb1","C","Engaste Perfeito",{"_19":38,"_25":39,"_27":36},"ab21b1bb-a505-474e-b58c-1d1f2e7c6c09","D",{"_19":41,"_25":42,"_27":28},"3d72ca87-8136-475c-99a2-8274864a0351","E","solution_explanation","statement","

Associe tipo de laje ao vínculo:

Surge nas bordas onde não existe ou não se admite a continuidade da laje com outras lajes

Surge no caso de lajes em balanço, como marquises e

São casos de apoios intermediários de lajes contínuas onde surgem momentos fletores negativos devido à continuidade das lajes.

","status","pending_classification","relatedVideos",[],"similarQuestions",[52,119,136,153,173],{"_16":17,"_18":17,"_19":53,"_21":54,"_43":17,"_44":70,"_71":72},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[55,58,61,64,67],{"_19":56,"_25":26,"_27":57},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_19":59,"_25":31,"_27":60},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_19":62,"_25":35,"_27":63},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_19":65,"_25":39,"_27":66},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_19":68,"_25":42,"_27":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],{"_19":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",{"_19":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",{"_19":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,{"_19":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,{"_16":17,"_18":17,"_19":120,"_21":121,"_43":17,"_44":134,"_71":135},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[122,125,128,131],{"_19":123,"_25":26,"_27":124},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_19":126,"_25":31,"_27":127},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_19":129,"_25":35,"_27":130},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_19":132,"_25":39,"_27":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],{"_16":17,"_18":17,"_19":137,"_21":138,"_43":17,"_44":151,"_71":152},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[139,142,145,148],{"_19":140,"_25":26,"_27":141},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_19":143,"_25":31,"_27":144},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_19":146,"_25":35,"_27":147},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_19":149,"_25":39,"_27":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],{"_16":17,"_18":17,"_19":154,"_21":155,"_43":17,"_44":171,"_71":172},"996628fc-4ac3-4821-86bd-839f86a97a6d",[156,159,162,165,168],{"_19":157,"_25":26,"_27":158},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_19":160,"_25":31,"_27":161},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_19":163,"_25":35,"_27":164},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_19":166,"_25":39,"_27":167},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_19":169,"_25":42,"_27":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],{"_16":17,"_18":17,"_19":174,"_21":175,"_43":17,"_44":191,"_71":192},"c478a46c-46a8-4942-ae14-2e79def3dda2",[176,179,182,185,188],{"_19":177,"_25":26,"_27":178},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_19":180,"_25":31,"_27":181},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_19":183,"_25":35,"_27":184},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_19":186,"_25":39,"_27":187},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_19":189,"_25":42,"_27":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],{"_19":82,"_75":113,"_77":114,"_79":80,"_81":-5,"_83":115,"_85":115,"_86":116,"_94":114,"_197":198},"children",[199],{"_19":74,"_75":76,"_77":78,"_79":80,"_81":82,"_83":84,"_85":84,"_86":87,"_94":95,"_197":200},[201],{"_19":97,"_75":98,"_77":99,"_79":80,"_81":74,"_83":100,"_85":100,"_86":101,"_94":104,"_197":202},[203],{"_19":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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