[{"_1":2,"_269":-5,"_270":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/f97be08c-6d96-4f94-b32e-d2bdd3a6cad9","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_46":47,"_135":136,"_84":256,"_257":258,"_265":266,"_267":268},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":19,"_20":21,"_22":23,"_41":19,"_42":43,"_44":45},"correctOptionId","eeec6169-2098-4651-8c79-61840d0f5dbc","difficulty","","id","f97be08c-6d96-4f94-b32e-d2bdd3a6cad9","options",[24,29,33,37],{"_20":17,"_25":26,"_27":28},"label","A","text","

Defletores

",{"_20":30,"_25":31,"_27":32},"bb518920-6577-4c18-a83c-995edb233173","B","

Alhetas

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Refletores

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Supressores

","solution_explanation","statement","

21 – As chapas metálicas instaladas nos motores que direcionam o ar de arrefecimento para os cilindros chamam-se:

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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

",[158,167,173,174,175],{"_20":159,"_52":160,"_110":161,"_112":113,"_114":162,"_64":129,"_66":129,"_60":163,"_122":166},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_117":164,"_119":102,"_120":165},5,30614,"engenharia-mecatronica-1",{"_20":168,"_52":127,"_110":128,"_112":113,"_114":159,"_64":169,"_66":169,"_60":170,"_122":172},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T03:44:35.328997+00:00",{"_117":164,"_119":102,"_120":171},25741,"mecanica-3",{"_20":108,"_52":109,"_110":111,"_112":113,"_114":-5,"_64":115,"_66":115,"_60":116,"_122":111},{"_20":126,"_52":127,"_110":128,"_112":113,"_114":108,"_64":129,"_66":129,"_60":130,"_122":133},{"_20":162,"_52":176,"_110":177,"_112":113,"_114":-5,"_64":178,"_66":178,"_60":179,"_122":177},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_117":180,"_119":102,"_120":181},29,351586,{"_16":19,"_18":19,"_20":183,"_22":184,"_41":19,"_42":197,"_84":198},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[185,188,191,194],{"_20":186,"_25":26,"_27":187},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":189,"_25":31,"_27":190},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":192,"_25":35,"_27":193},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":195,"_25":39,"_27":196},"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.

",[158,167,173,174,175],{"_16":19,"_18":19,"_20":200,"_22":201,"_41":19,"_42":214,"_84":215},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[202,205,208,211],{"_20":203,"_25":26,"_27":204},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":206,"_25":31,"_27":207},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":209,"_25":35,"_27":210},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":212,"_25":39,"_27":213},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[158,167,173,174,175],{"_16":19,"_18":19,"_20":217,"_22":218,"_41":19,"_42":234,"_84":235},"996628fc-4ac3-4821-86bd-839f86a97a6d",[219,222,225,228,231],{"_20":220,"_25":26,"_27":221},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_20":223,"_25":31,"_27":224},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_20":226,"_25":35,"_27":227},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_20":229,"_25":39,"_27":230},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_20":232,"_25":154,"_27":233},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[158,167,173,174,175],{"_16":19,"_18":19,"_20":237,"_22":238,"_41":19,"_42":254,"_84":255},"c478a46c-46a8-4942-ae14-2e79def3dda2",[239,242,245,248,251],{"_20":240,"_25":26,"_27":241},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_20":243,"_25":31,"_27":244},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_20":246,"_25":35,"_27":247},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_20":249,"_25":39,"_27":250},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_20":252,"_25":154,"_27":253},"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????",[158,167,173,174,175],[158,167,173,174,175],"tagsTree",[107,259],{"_20":162,"_52":176,"_110":177,"_112":113,"_114":-5,"_64":178,"_66":178,"_60":179,"_122":177,"_123":260},[261],{"_20":159,"_52":160,"_110":161,"_112":113,"_114":162,"_64":129,"_66":129,"_60":163,"_122":166,"_123":262},[263],{"_20":168,"_52":127,"_110":128,"_112":113,"_114":159,"_64":169,"_66":169,"_60":170,"_122":172,"_123":264},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários