[{"_1":2,"_202":-5,"_203":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_35":36,"_37":38,"_60":188,"_189":190},"comments",[],"question",{"_12":13,"_14":15,"_16":17,"_18":19,"_32":15,"_33":34},"correctOptionId","ca568215-3868-430b-bc3b-5d902c3509ea","difficulty","","id","ff3e8eaf-61fc-4f3f-9b34-ba0f1a950532","options",[20,26,29],{"_16":21,"_22":23,"_24":25},"b35ccde3-8802-4dad-8484-4bcf55f73f13","label","A","text","11, 12, 10, 2, 4, 5, 1, 7, 6, 9, 8, 3",{"_16":13,"_22":27,"_24":28},"B","12, 10, 11, 2, 4, 5, 1, 7, 6, 9, 8, 3",{"_16":30,"_22":31,"_24":28},"a646cb62-327f-45f9-bfe3-a75694161c9d","C","solution_explanation","statement","

Qual é a sequência correta de manutenção no compartimento do motor?

","relatedVideos",[],"similarQuestions",[39,114,131,148,168],{"_12":15,"_14":15,"_16":40,"_18":41,"_32":15,"_33":59,"_60":61},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[42,45,48,51,55],{"_16":43,"_22":23,"_24":44},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_16":46,"_22":27,"_24":47},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_16":49,"_22":31,"_24":50},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_16":52,"_22":53,"_24":54},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_16":56,"_22":57,"_24":58},"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",[62,85,93,101,107],{"_16":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":73,"_74":73,"_75":76,"_83":84},"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",{"_77":78,"_79":80,"_81":82},"childrenCount",5,"content_count",0,"question_count",30614,"slug","engenharia-mecatronica-1",{"_16":86,"_64":87,"_66":88,"_68":69,"_70":63,"_72":89,"_74":89,"_75":90,"_83":92},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica","2025-04-29T03:44:35.328997+00:00",{"_77":78,"_79":80,"_81":91},25741,"mecanica-3",{"_16":94,"_64":95,"_66":96,"_68":69,"_70":-5,"_72":97,"_74":97,"_75":98,"_83":96},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_77":99,"_79":80,"_81":100},18,135489,{"_16":102,"_64":87,"_66":88,"_68":69,"_70":94,"_72":73,"_74":73,"_75":103,"_83":106},"ca6fee0e-79c6-4f1c-b500-ee081a071949",{"_77":104,"_79":80,"_81":105},10,19948,"mecanica-2",{"_16":71,"_64":108,"_66":109,"_68":69,"_70":-5,"_72":110,"_74":110,"_75":111,"_83":109},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_77":112,"_79":80,"_81":113},29,351586,{"_12":15,"_14":15,"_16":115,"_18":116,"_32":15,"_33":129,"_60":130},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[117,120,123,126],{"_16":118,"_22":23,"_24":119},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_16":121,"_22":27,"_24":122},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_16":124,"_22":31,"_24":125},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_16":127,"_22":53,"_24":128},"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.

",[62,85,93,101,107],{"_12":15,"_14":15,"_16":132,"_18":133,"_32":15,"_33":146,"_60":147},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[134,137,140,143],{"_16":135,"_22":23,"_24":136},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_16":138,"_22":27,"_24":139},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_16":141,"_22":31,"_24":142},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_16":144,"_22":53,"_24":145},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[62,85,93,101,107],{"_12":15,"_14":15,"_16":149,"_18":150,"_32":15,"_33":166,"_60":167},"996628fc-4ac3-4821-86bd-839f86a97a6d",[151,154,157,160,163],{"_16":152,"_22":23,"_24":153},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_16":155,"_22":27,"_24":156},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_16":158,"_22":31,"_24":159},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_16":161,"_22":53,"_24":162},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_16":164,"_22":57,"_24":165},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[62,85,93,101,107],{"_12":15,"_14":15,"_16":169,"_18":170,"_32":15,"_33":186,"_60":187},"c478a46c-46a8-4942-ae14-2e79def3dda2",[171,174,177,180,183],{"_16":172,"_22":23,"_24":173},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_16":175,"_22":27,"_24":176},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_16":178,"_22":31,"_24":179},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_16":181,"_22":53,"_24":182},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_16":184,"_22":57,"_24":185},"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????",[62,85,93,101,107],[62,85,93,101,107],"tagsTree",[191,196],{"_16":94,"_64":95,"_66":96,"_68":69,"_70":-5,"_72":97,"_74":97,"_75":98,"_83":96,"_192":193},"children",[194],{"_16":102,"_64":87,"_66":88,"_68":69,"_70":94,"_72":73,"_74":73,"_75":103,"_83":106,"_192":195},[],{"_16":71,"_64":108,"_66":109,"_68":69,"_70":-5,"_72":110,"_74":110,"_75":111,"_83":109,"_192":197},[198],{"_16":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":73,"_74":73,"_75":76,"_83":84,"_192":199},[200],{"_16":86,"_64":87,"_66":88,"_68":69,"_70":63,"_72":89,"_74":89,"_75":90,"_83":92,"_192":201},[],"actionData","errors"]

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