[{"_1":2,"_203":-5,"_204":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/b0bb512b-c7fc-4cdc-803a-658adc01eec4","user","pages/questions/show/index",{"_10":11,"_12":13,"_47":48,"_49":50,"_70":191,"_192":193},"comments",[],"question",{"_14":15,"_16":17,"_18":19,"_20":21,"_42":17,"_43":44,"_45":46},"correctOptionId","38acc50f-120c-4a8f-b4f2-b01b7f257b70","difficulty","","id","b0bb512b-c7fc-4cdc-803a-658adc01eec4","options",[22,27,31,35,38],{"_18":15,"_23":24,"_25":26},"label","A","text","97,5N.",{"_18":28,"_23":29,"_25":30},"34dabcaf-339c-41c2-b891-4fcd811836f6","B","250N.",{"_18":32,"_23":33,"_25":34},"fdfc82a0-589b-421b-8995-b8fc13c2e409","C","122N.",{"_18":36,"_23":37,"_25":26},"18faa706-c554-4dd8-8cfe-05b1830d2de8","D",{"_18":39,"_23":40,"_25":41},"3ecc55aa-e062-426f-8518-23c041a2b26c","E","20N.","solution_explanation","statement","

Os blocos A e B da figura possuem coeficientes de atrito \\mu_A = 0,25 e \\mu_B = 0,35 e massas m_A = 25 \\text{ kg} e m_B = 10 \\text{ kg}.

Qual é a força máxima que pode ser aplicada ao bloco B para que o sistema se mantenha em equilíbrio estático?

","status","has_issues","relatedVideos",[],"similarQuestions",[51,117,134,151,171],{"_14":17,"_16":17,"_18":52,"_20":53,"_42":17,"_43":69,"_70":71},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[54,57,60,63,66],{"_18":55,"_23":24,"_25":56},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_18":58,"_23":29,"_25":59},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_18":61,"_23":33,"_25":62},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_18":64,"_23":37,"_25":65},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_18":67,"_23":40,"_25":68},"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",[72,94,102,110],{"_18":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":83,"_84":83,"_85":86,"_93":77},"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",{"_87":88,"_89":90,"_91":92},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_18":95,"_74":96,"_76":97,"_78":79,"_80":73,"_82":98,"_84":98,"_85":99,"_93":101},"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",{"_87":90,"_89":90,"_91":100},329,"mecanica-dos-fluidos-na-engenharia-de-petroleo-1",{"_18":81,"_74":103,"_76":104,"_78":79,"_80":105,"_82":106,"_84":106,"_85":107,"_93":109},"Engenharia de Petróleo","engenharia-de-petroleo","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_87":108,"_89":90,"_91":92},5,"engenharia-de-petroleo-1",{"_18":105,"_74":111,"_76":112,"_78":79,"_80":-5,"_82":113,"_84":113,"_85":114,"_93":112},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_87":115,"_89":90,"_91":116},29,351586,{"_14":17,"_16":17,"_18":118,"_20":119,"_42":17,"_43":132,"_70":133},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[120,123,126,129],{"_18":121,"_23":24,"_25":122},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_18":124,"_23":29,"_25":125},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_18":127,"_23":33,"_25":128},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_18":130,"_23":37,"_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.

",[72,94,102,110],{"_14":17,"_16":17,"_18":135,"_20":136,"_42":17,"_43":149,"_70":150},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[137,140,143,146],{"_18":138,"_23":24,"_25":139},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_18":141,"_23":29,"_25":142},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_18":144,"_23":33,"_25":145},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_18":147,"_23":37,"_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?

",[72,94,102,110],{"_14":17,"_16":17,"_18":152,"_20":153,"_42":17,"_43":169,"_70":170},"996628fc-4ac3-4821-86bd-839f86a97a6d",[154,157,160,163,166],{"_18":155,"_23":24,"_25":156},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_18":158,"_23":29,"_25":159},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_18":161,"_23":33,"_25":162},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_18":164,"_23":37,"_25":165},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_18":167,"_23":40,"_25":168},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[72,94,102,110],{"_14":17,"_16":17,"_18":172,"_20":173,"_42":17,"_43":189,"_70":190},"c478a46c-46a8-4942-ae14-2e79def3dda2",[174,177,180,183,186],{"_18":175,"_23":24,"_25":176},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_18":178,"_23":29,"_25":179},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_18":181,"_23":33,"_25":182},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_18":184,"_23":37,"_25":185},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_18":187,"_23":40,"_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????",[72,94,102,110],[72,94,102,110],"tagsTree",[194],{"_18":105,"_74":111,"_76":112,"_78":79,"_80":-5,"_82":113,"_84":113,"_85":114,"_93":112,"_195":196},"children",[197],{"_18":81,"_74":103,"_76":104,"_78":79,"_80":105,"_82":106,"_84":106,"_85":107,"_93":109,"_195":198},[199],{"_18":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":83,"_84":83,"_85":86,"_93":77,"_195":200},[201],{"_18":95,"_74":96,"_76":97,"_78":79,"_80":73,"_82":98,"_84":98,"_85":99,"_93":101,"_195":202},[],"actionData","errors"]

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