[{"_1":2,"_207":-5,"_208":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/1b566b61-2dee-46ac-92cb-1aba87e1b894","user","pages/questions/show/index",{"_10":11,"_12":13,"_51":52,"_53":54,"_74":195,"_196":197},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_46":15,"_47":48,"_49":50},"correctOptionId","","difficulty","id","1b566b61-2dee-46ac-92cb-1aba87e1b894","options",[21,27,31,34,38,42],{"_17":22,"_23":24,"_25":26},"8e8eb7c4-9aab-4d0c-a187-53dd02842dad","label","A","text","300000 N",{"_17":28,"_23":29,"_25":30},"1b1e1237-d3d1-42ca-b516-349f73e88823","B","150000 N",{"_17":32,"_23":33,"_25":26},"5c829f85-9cf5-46d2-ba3b-c3e95743c120","C",{"_17":35,"_23":36,"_25":37},"6706f970-63d4-46e6-b0a8-451b52dcf637","D","15000 N",{"_17":39,"_23":40,"_25":41},"d79989ff-2f44-4c0c-915c-95b2ed00d344","E","200000 N",{"_17":43,"_23":44,"_25":45},"f3e508b2-6894-409c-b9fa-c9f8bc984179","F","30000 N","solution_explanation","statement","

Sabendo que a placa possui uma área de 1,5 \\, m^{2}, qual será a força aplicada sob a mesma. Considere toda a estrutura submersa na água, cujo peso específico é de 10000 \\, N/m^{3}.

","status","has_issues","relatedVideos",[],"similarQuestions",[55,121,138,155,175],{"_14":15,"_16":15,"_17":56,"_19":57,"_46":15,"_47":73,"_74":75},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[58,61,64,67,70],{"_17":59,"_23":24,"_25":60},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_17":62,"_23":29,"_25":63},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_17":65,"_23":33,"_25":66},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_17":68,"_23":36,"_25":69},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_17":71,"_23":40,"_25":72},"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",[76,98,106,114],{"_17":77,"_78":79,"_80":81,"_82":83,"_84":85,"_86":87,"_88":87,"_89":90,"_97":81},"6516bbbd-f2a3-4710-8382-702240b17836","name","Mecânica na Engenharia de Petróleo","alias","mecanica-na-engenharia-de-petroleo","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","b787e438-0ab3-454c-ab43-5d3d14c2720d","created_at","2025-04-29T03:44:35.328997+00:00","updated_at","metadata",{"_91":92,"_93":94,"_95":96},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_17":99,"_78":100,"_80":101,"_82":83,"_84":77,"_86":102,"_88":102,"_89":103,"_97":105},"8c444991-e4be-4bd9-bc90-7d0f27eb9a2f","Mecânica dos Fluidos na Engenharia de Petróleo","mecanica-dos-fluidos-na-engenharia-de-petroleo","2025-04-29T04:00:14.680867+00:00",{"_91":94,"_93":94,"_95":104},329,"mecanica-dos-fluidos-na-engenharia-de-petroleo-1",{"_17":85,"_78":107,"_80":108,"_82":83,"_84":109,"_86":110,"_88":110,"_89":111,"_97":113},"Engenharia de Petróleo","engenharia-de-petroleo","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_91":112,"_93":94,"_95":96},5,"engenharia-de-petroleo-1",{"_17":109,"_78":115,"_80":116,"_82":83,"_84":-5,"_86":117,"_88":117,"_89":118,"_97":116},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_91":119,"_93":94,"_95":120},29,351586,{"_14":15,"_16":15,"_17":122,"_19":123,"_46":15,"_47":136,"_74":137},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[124,127,130,133],{"_17":125,"_23":24,"_25":126},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":128,"_23":29,"_25":129},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":131,"_23":33,"_25":132},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":134,"_23":36,"_25":135},"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.

",[76,98,106,114],{"_14":15,"_16":15,"_17":139,"_19":140,"_46":15,"_47":153,"_74":154},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[141,144,147,150],{"_17":142,"_23":24,"_25":143},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":145,"_23":29,"_25":146},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":148,"_23":33,"_25":149},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":151,"_23":36,"_25":152},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[76,98,106,114],{"_14":15,"_16":15,"_17":156,"_19":157,"_46":15,"_47":173,"_74":174},"996628fc-4ac3-4821-86bd-839f86a97a6d",[158,161,164,167,170],{"_17":159,"_23":24,"_25":160},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":162,"_23":29,"_25":163},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":165,"_23":33,"_25":166},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":168,"_23":36,"_25":169},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":171,"_23":40,"_25":172},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[76,98,106,114],{"_14":15,"_16":15,"_17":176,"_19":177,"_46":15,"_47":193,"_74":194},"c478a46c-46a8-4942-ae14-2e79def3dda2",[178,181,184,187,190],{"_17":179,"_23":24,"_25":180},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":182,"_23":29,"_25":183},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":185,"_23":33,"_25":186},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":188,"_23":36,"_25":189},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":191,"_23":40,"_25":192},"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????",[76,98,106,114],[76,98,106,114],"tagsTree",[198],{"_17":109,"_78":115,"_80":116,"_82":83,"_84":-5,"_86":117,"_88":117,"_89":118,"_97":116,"_199":200},"children",[201],{"_17":85,"_78":107,"_80":108,"_82":83,"_84":109,"_86":110,"_88":110,"_89":111,"_97":113,"_199":202},[203],{"_17":77,"_78":79,"_80":81,"_82":83,"_84":85,"_86":87,"_88":87,"_89":90,"_97":81,"_199":204},[205],{"_17":99,"_78":100,"_80":101,"_82":83,"_84":77,"_86":102,"_88":102,"_89":103,"_97":105,"_199":206},[],"actionData","errors"]

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