[{"_1":2,"_269":-5,"_270":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/f8a57069-4ef3-4e59-9409-70096e6f0261","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":17,"_19":20,"_21":22,"_41":17,"_42":43,"_44":45},"correctOptionId","","difficulty","id","f8a57069-4ef3-4e59-9409-70096e6f0261","options",[23,29,33,37],{"_19":24,"_25":26,"_27":28},"ff7f81c7-7b79-4eda-a4ca-064ed2c054ff","label","A","text","3 \text{ mm}.",{"_19":30,"_25":31,"_27":32},"04bf7e6f-332b-4ba8-a730-f2cda88525bf","B","5 \text{ mm}.",{"_19":34,"_25":35,"_27":36},"3662cc2b-6bab-457b-8fea-556639a766f8","C","15 \text{ mm}.",{"_19":38,"_25":39,"_27":40},"307f92e4-4538-4324-b78a-eee88c1d839b","D","20 \text{ mm}.","solution_explanation","statement","

Um oscilador massa-mola tem amplitude do movimento de 3 \text{ mm}, pulsação de 2\text{π}, e não existe defasagem de fase.
Quando t=5\text{s}, qual a elongação do movimento?

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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

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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":17,"_18":17,"_19":200,"_21":201,"_41":17,"_42":214,"_84":215},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[202,205,208,211],{"_19":203,"_25":26,"_27":204},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_19":206,"_25":31,"_27":207},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_19":209,"_25":35,"_27":210},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_19":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":17,"_18":17,"_19":217,"_21":218,"_41":17,"_42":234,"_84":235},"996628fc-4ac3-4821-86bd-839f86a97a6d",[219,222,225,228,231],{"_19":220,"_25":26,"_27":221},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_19":223,"_25":31,"_27":224},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_19":226,"_25":35,"_27":227},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_19":229,"_25":39,"_27":230},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_19":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":17,"_18":17,"_19":237,"_21":238,"_41":17,"_42":254,"_84":255},"c478a46c-46a8-4942-ae14-2e79def3dda2",[239,242,245,248,251],{"_19":240,"_25":26,"_27":241},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_19":243,"_25":31,"_27":244},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_19":246,"_25":35,"_27":247},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_19":249,"_25":39,"_27":250},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_19":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],{"_19":162,"_52":176,"_110":177,"_112":113,"_114":-5,"_64":178,"_66":178,"_60":179,"_122":177,"_123":260},[261],{"_19":159,"_52":160,"_110":161,"_112":113,"_114":162,"_64":129,"_66":129,"_60":163,"_122":166,"_123":262},[263],{"_19":168,"_52":127,"_110":128,"_112":113,"_114":159,"_64":169,"_66":169,"_60":170,"_122":172,"_123":264},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

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