[{"_1":2,"_272":-5,"_273":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/f9574d3e-074d-4af9-8227-a4ac370d41ab","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_50":51,"_139":140,"_88":259,"_260":261,"_268":269,"_270":271},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":17,"_19":20,"_21":22,"_45":17,"_46":47,"_48":49},"correctOptionId","","difficulty","id","f9574d3e-074d-4af9-8227-a4ac370d41ab","options",[23,29,33,37,41],{"_19":24,"_25":26,"_27":28},"03652d53-2da1-4f89-a272-af02beda2fbe","label","A","text","1,0 \text{ m/s}^2",{"_19":30,"_25":31,"_27":32},"175c19d9-8b97-4bb0-8d61-6482d70b63de","B","1,5 \text{ m/s}^2",{"_19":34,"_25":35,"_27":36},"4462bd7f-dc59-47bb-95a1-c355b2b4db35","C","0,9 \text{ m/s}^2",{"_19":38,"_25":39,"_27":40},"0c60b0ca-632b-404b-845d-008233b2ddec","D","0,7 \text{ m/s}^2",{"_19":42,"_25":43,"_27":44},"09d701f2-7131-4e78-aab8-d8c349df78fc","E","0,8 \text{ m/s}^2","solution_explanation","statement","

A figura abaixo mostra três blocos de massas m_1 = 1,0 \text{ kg}, m_2 = 2,0 \text{ kg} e m_3 = 3,0 \text{ kg}. Os blocos se movem em conjunto, sob a ação de uma força F constante e horizontal, de módulo 4,2 \text{ N}. A partir das informações acima determine a aceleração dos blocos. Escolha uma opção:

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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

",[161,170,176,177,178],{"_19":162,"_56":163,"_114":164,"_116":117,"_118":165,"_68":133,"_70":133,"_64":166,"_126":169},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_121":167,"_123":106,"_124":168},5,30614,"engenharia-mecatronica-1",{"_19":171,"_56":131,"_114":132,"_116":117,"_118":162,"_68":172,"_70":172,"_64":173,"_126":175},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T03:44:35.328997+00:00",{"_121":167,"_123":106,"_124":174},25741,"mecanica-3",{"_19":112,"_56":113,"_114":115,"_116":117,"_118":-5,"_68":119,"_70":119,"_64":120,"_126":115},{"_19":130,"_56":131,"_114":132,"_116":117,"_118":112,"_68":133,"_70":133,"_64":134,"_126":137},{"_19":165,"_56":179,"_114":180,"_116":117,"_118":-5,"_68":181,"_70":181,"_64":182,"_126":180},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_121":183,"_123":106,"_124":184},29,351586,{"_16":17,"_18":17,"_19":186,"_21":187,"_45":17,"_46":200,"_88":201},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[188,191,194,197],{"_19":189,"_25":26,"_27":190},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_19":192,"_25":31,"_27":193},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_19":195,"_25":35,"_27":196},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_19":198,"_25":39,"_27":199},"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.

",[161,170,176,177,178],{"_16":17,"_18":17,"_19":203,"_21":204,"_45":17,"_46":217,"_88":218},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[205,208,211,214],{"_19":206,"_25":26,"_27":207},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_19":209,"_25":31,"_27":210},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_19":212,"_25":35,"_27":213},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_19":215,"_25":39,"_27":216},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[161,170,176,177,178],{"_16":17,"_18":17,"_19":220,"_21":221,"_45":17,"_46":237,"_88":238},"996628fc-4ac3-4821-86bd-839f86a97a6d",[222,225,228,231,234],{"_19":223,"_25":26,"_27":224},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_19":226,"_25":31,"_27":227},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_19":229,"_25":35,"_27":230},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_19":232,"_25":39,"_27":233},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_19":235,"_25":43,"_27":236},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[161,170,176,177,178],{"_16":17,"_18":17,"_19":240,"_21":241,"_45":17,"_46":257,"_88":258},"c478a46c-46a8-4942-ae14-2e79def3dda2",[242,245,248,251,254],{"_19":243,"_25":26,"_27":244},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_19":246,"_25":31,"_27":247},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_19":249,"_25":35,"_27":250},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_19":252,"_25":39,"_27":253},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_19":255,"_25":43,"_27":256},"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????",[161,170,176,177,178],[161,170,176,177,178],"tagsTree",[111,262],{"_19":165,"_56":179,"_114":180,"_116":117,"_118":-5,"_68":181,"_70":181,"_64":182,"_126":180,"_127":263},[264],{"_19":162,"_56":163,"_114":164,"_116":117,"_118":165,"_68":133,"_70":133,"_64":166,"_126":169,"_127":265},[266],{"_19":171,"_56":131,"_114":132,"_116":117,"_118":162,"_68":172,"_70":172,"_64":173,"_126":175,"_127":267},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

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