[{"_1":2,"_200":-5,"_201":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_32":33,"_34":35,"_58":186,"_187":188},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_29":13,"_30":31},"correctOptionId","","difficulty","id","fe20e874-74d5-4066-b264-ffb3f1c281ae","options",[19,25],{"_15":20,"_21":22,"_23":24},"d3a03f81-e9dd-4761-ab76-46206f58cff6","label","A","text","

r = -2\textbf{i} + \textbf{j} - 5\textbf{k}

",{"_15":26,"_21":27,"_23":28},"c2536328-b214-4dfe-b4c7-ad32c0de5780","B","

r = 5\textbf{i} + \textbf{j} - 11\textbf{k}

","solution_explanation","statement","

3-Determine o momento em relação a origem O da Força F = \textbf{i} + 3\textbf{j} + \textbf{k} \text{ (N)} aplicada ao ponto A. Suponha que o vetor posição de A em metros é:

","relatedVideos",[],"similarQuestions",[36,112,129,146,166],{"_12":13,"_14":13,"_15":37,"_17":38,"_29":13,"_30":57,"_58":59},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[39,42,45,49,53],{"_15":40,"_21":22,"_23":41},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_15":43,"_21":27,"_23":44},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_15":46,"_21":47,"_23":48},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_15":50,"_21":51,"_23":52},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_15":54,"_21":55,"_23":56},"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",[60,83,91,99,105],{"_15":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":82},"861ad829-750d-4a44-9569-2f18b430b4df","name","Engenharia Mecatrônica","alias","engenharia-mecatronica","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","eb9315c5-bd04-4116-aa46-02c4fde320c0","created_at","2025-04-29T02:19:12.828432+00:00","updated_at","metadata",{"_75":76,"_77":78,"_79":80},"childrenCount",5,"content_count",0,"question_count",30614,"slug","engenharia-mecatronica-1",{"_15":84,"_62":85,"_64":86,"_66":67,"_68":61,"_70":87,"_72":87,"_73":88,"_81":90},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica","2025-04-29T03:44:35.328997+00:00",{"_75":76,"_77":78,"_79":89},25741,"mecanica-3",{"_15":92,"_62":93,"_64":94,"_66":67,"_68":-5,"_70":95,"_72":95,"_73":96,"_81":94},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_75":97,"_77":78,"_79":98},18,135489,{"_15":100,"_62":85,"_64":86,"_66":67,"_68":92,"_70":71,"_72":71,"_73":101,"_81":104},"ca6fee0e-79c6-4f1c-b500-ee081a071949",{"_75":102,"_77":78,"_79":103},10,19948,"mecanica-2",{"_15":69,"_62":106,"_64":107,"_66":67,"_68":-5,"_70":108,"_72":108,"_73":109,"_81":107},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_75":110,"_77":78,"_79":111},29,351586,{"_12":13,"_14":13,"_15":113,"_17":114,"_29":13,"_30":127,"_58":128},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[115,118,121,124],{"_15":116,"_21":22,"_23":117},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_15":119,"_21":27,"_23":120},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_15":122,"_21":47,"_23":123},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_15":125,"_21":51,"_23":126},"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.

",[60,83,91,99,105],{"_12":13,"_14":13,"_15":130,"_17":131,"_29":13,"_30":144,"_58":145},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[132,135,138,141],{"_15":133,"_21":22,"_23":134},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_15":136,"_21":27,"_23":137},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_15":139,"_21":47,"_23":140},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_15":142,"_21":51,"_23":143},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[60,83,91,99,105],{"_12":13,"_14":13,"_15":147,"_17":148,"_29":13,"_30":164,"_58":165},"996628fc-4ac3-4821-86bd-839f86a97a6d",[149,152,155,158,161],{"_15":150,"_21":22,"_23":151},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_15":153,"_21":27,"_23":154},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_15":156,"_21":47,"_23":157},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_15":159,"_21":51,"_23":160},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_15":162,"_21":55,"_23":163},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[60,83,91,99,105],{"_12":13,"_14":13,"_15":167,"_17":168,"_29":13,"_30":184,"_58":185},"c478a46c-46a8-4942-ae14-2e79def3dda2",[169,172,175,178,181],{"_15":170,"_21":22,"_23":171},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_15":173,"_21":27,"_23":174},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_15":176,"_21":47,"_23":177},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_15":179,"_21":51,"_23":180},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_15":182,"_21":55,"_23":183},"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????",[60,83,91,99,105],[60,83,91,99,105],"tagsTree",[189,194],{"_15":92,"_62":93,"_64":94,"_66":67,"_68":-5,"_70":95,"_72":95,"_73":96,"_81":94,"_190":191},"children",[192],{"_15":100,"_62":85,"_64":86,"_66":67,"_68":92,"_70":71,"_72":71,"_73":101,"_81":104,"_190":193},[],{"_15":69,"_62":106,"_64":107,"_66":67,"_68":-5,"_70":108,"_72":108,"_73":109,"_81":107,"_190":195},[196],{"_15":61,"_62":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":71,"_73":74,"_81":82,"_190":197},[198],{"_15":84,"_62":85,"_64":86,"_66":67,"_68":61,"_70":87,"_72":87,"_73":88,"_81":90,"_190":199},[],"actionData","errors"]

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