[{"_1":2,"_201":-5,"_202":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/e5f9948e-d706-4e6e-8613-9df88c87ee94","user","pages/questions/show/index",{"_10":11,"_12":13,"_44":45,"_46":47,"_68":189,"_190":191},"comments",[],"question",{"_14":15,"_16":17,"_18":19,"_20":21,"_39":17,"_40":41,"_42":43},"correctOptionId","4e32179f-d5f2-4c1d-b1ed-2ac3e20eb49d","difficulty","","id","e5f9948e-d706-4e6e-8613-9df88c87ee94","options",[22,28,32,36],{"_18":23,"_24":25,"_26":27},"b0bda026-7f48-4ba7-9854-153c2a8bc2fd","label","A","text","regime unidimensional",{"_18":29,"_24":30,"_26":31},"0cd4fab9-476c-49b1-9acd-9b3af53f019d","B","regime incompressível",{"_18":33,"_24":34,"_26":35},"3d317486-1067-40d9-ad00-a16748681fc6","C","regime transitório",{"_18":15,"_24":37,"_26":38},"D","regime estacionário","solution_explanation","statement","Quando as propriedades do escoamento em um volume de controle não variam com o tempo, o correto escoamento é chamado de:","status","pending_classification","relatedVideos",[],"similarQuestions",[48,115,132,149,169],{"_14":17,"_16":17,"_18":49,"_20":50,"_39":17,"_40":67,"_68":69},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[51,54,57,60,63],{"_18":52,"_24":25,"_26":53},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_18":55,"_24":30,"_26":56},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_18":58,"_24":34,"_26":59},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_18":61,"_24":37,"_26":62},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_18":64,"_24":65,"_26":66},"112831da-be9c-458e-94cb-e8292d0dba12","E","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",[70,92,100,108],{"_18":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":81,"_83":84,"_91":75},"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",{"_85":86,"_87":88,"_89":90},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_18":93,"_72":94,"_74":95,"_76":77,"_78":71,"_80":96,"_82":96,"_83":97,"_91":99},"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",{"_85":88,"_87":88,"_89":98},329,"mecanica-dos-fluidos-na-engenharia-de-petroleo-1",{"_18":79,"_72":101,"_74":102,"_76":77,"_78":103,"_80":104,"_82":104,"_83":105,"_91":107},"Engenharia de Petróleo","engenharia-de-petroleo","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_85":106,"_87":88,"_89":90},5,"engenharia-de-petroleo-1",{"_18":103,"_72":109,"_74":110,"_76":77,"_78":-5,"_80":111,"_82":111,"_83":112,"_91":110},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_85":113,"_87":88,"_89":114},29,351586,{"_14":17,"_16":17,"_18":116,"_20":117,"_39":17,"_40":130,"_68":131},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[118,121,124,127],{"_18":119,"_24":25,"_26":120},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_18":122,"_24":30,"_26":123},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_18":125,"_24":34,"_26":126},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_18":128,"_24":37,"_26":129},"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.

",[70,92,100,108],{"_14":17,"_16":17,"_18":133,"_20":134,"_39":17,"_40":147,"_68":148},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[135,138,141,144],{"_18":136,"_24":25,"_26":137},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_18":139,"_24":30,"_26":140},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_18":142,"_24":34,"_26":143},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_18":145,"_24":37,"_26":146},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[70,92,100,108],{"_14":17,"_16":17,"_18":150,"_20":151,"_39":17,"_40":167,"_68":168},"996628fc-4ac3-4821-86bd-839f86a97a6d",[152,155,158,161,164],{"_18":153,"_24":25,"_26":154},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_18":156,"_24":30,"_26":157},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_18":159,"_24":34,"_26":160},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_18":162,"_24":37,"_26":163},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_18":165,"_24":65,"_26":166},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[70,92,100,108],{"_14":17,"_16":17,"_18":170,"_20":171,"_39":17,"_40":187,"_68":188},"c478a46c-46a8-4942-ae14-2e79def3dda2",[172,175,178,181,184],{"_18":173,"_24":25,"_26":174},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_18":176,"_24":30,"_26":177},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_18":179,"_24":34,"_26":180},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_18":182,"_24":37,"_26":183},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_18":185,"_24":65,"_26":186},"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????",[70,92,100,108],[70,92,100,108],"tagsTree",[192],{"_18":103,"_72":109,"_74":110,"_76":77,"_78":-5,"_80":111,"_82":111,"_83":112,"_91":110,"_193":194},"children",[195],{"_18":79,"_72":101,"_74":102,"_76":77,"_78":103,"_80":104,"_82":104,"_83":105,"_91":107,"_193":196},[197],{"_18":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":81,"_83":84,"_91":75,"_193":198},[199],{"_18":93,"_72":94,"_74":95,"_76":77,"_78":71,"_80":96,"_82":96,"_83":97,"_91":99,"_193":200},[],"actionData","errors"]

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