[{"_1":2,"_275":-5,"_276":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_40":41,"_42":43,"_64":245,"_246":247},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_37":13,"_38":39},"correctOptionId","","difficulty","id","fd62fcd9-44a4-4498-a66c-9902be315ebf","options",[19,25,29,33],{"_15":20,"_21":22,"_23":24},"4195f534-99e8-46ab-ac2c-1df6219bd42a","label","A","text","M=14,6 kg",{"_15":26,"_21":27,"_23":28},"3358709e-f355-4a25-9b86-2307190b1fc0","B","M=11,3 kg",{"_15":30,"_21":31,"_23":32},"f27879ad-9ccc-4dc2-9e52-2b509d66696a","C","M=12,8 kg",{"_15":34,"_21":35,"_23":36},"337a190b-f594-4dfe-95a1-7970cdf249d2","D","M=15,8 kg","solution_explanation","statement","O comprimento sem deformação da mola AB é de 2 \text{ m}. Com o bloco mantido na posição de equilíbrio mostrada, determine a massa dele em D. (Hibbeler, Estática, 10ª ed, 2005)","relatedVideos",[],"similarQuestions",[44,171,188,205,225],{"_12":13,"_14":13,"_15":45,"_17":46,"_37":13,"_38":63,"_64":65},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[47,50,53,56,59],{"_15":48,"_21":22,"_23":49},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_15":51,"_21":27,"_23":52},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_15":54,"_21":31,"_23":55},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_15":57,"_21":35,"_23":58},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_15":60,"_21":61,"_23":62},"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",[66,88,98,107,113,121,127,135,140,148,153,158,164],{"_15":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":77,"_79":80,"_87":71},"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",{"_81":82,"_83":84,"_85":86},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_15":89,"_68":90,"_70":91,"_72":73,"_74":92,"_76":93,"_78":93,"_79":94,"_87":97},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_81":95,"_83":84,"_85":96},5,30614,"engenharia-mecatronica-1",{"_15":99,"_68":100,"_70":101,"_72":73,"_74":102,"_76":103,"_78":103,"_79":104,"_87":106},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_81":84,"_83":84,"_85":105},3376,"resistencia-dos-materiais-6",{"_15":102,"_68":108,"_70":109,"_72":73,"_74":89,"_76":77,"_78":77,"_79":110,"_87":112},"Mecânica","mecanica",{"_81":95,"_83":84,"_85":111},25741,"mecanica-3",{"_15":114,"_68":115,"_70":116,"_72":73,"_74":-5,"_76":117,"_78":117,"_79":118,"_87":116},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_81":119,"_83":84,"_85":120},18,135489,{"_15":122,"_68":100,"_70":101,"_72":73,"_74":123,"_76":124,"_78":124,"_79":125,"_87":126},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_81":84,"_83":84,"_85":105},"resistencia-dos-materiais-4",{"_15":128,"_68":129,"_70":130,"_72":73,"_74":92,"_76":93,"_78":93,"_79":131,"_87":134},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_81":132,"_83":84,"_85":133},21,45865,"engenharia-civil-3",{"_15":75,"_68":136,"_70":137,"_72":73,"_74":92,"_76":93,"_78":93,"_79":138,"_87":139},"Engenharia de Petróleo","engenharia-de-petroleo",{"_81":95,"_83":84,"_85":86},"engenharia-de-petroleo-1",{"_15":141,"_68":142,"_70":143,"_72":73,"_74":128,"_76":144,"_78":144,"_79":145,"_87":147},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_81":95,"_83":84,"_85":146},8852,"estruturas-1",{"_15":123,"_68":108,"_70":109,"_72":73,"_74":114,"_76":93,"_78":93,"_79":149,"_87":152},{"_81":150,"_83":84,"_85":151},10,19948,"mecanica-2",{"_15":154,"_68":100,"_70":101,"_72":73,"_74":67,"_76":155,"_78":155,"_79":156,"_87":157},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_81":84,"_83":84,"_85":105},"resistencia-dos-materiais-7",{"_15":159,"_68":160,"_70":101,"_72":73,"_74":141,"_76":161,"_78":161,"_79":162,"_87":163},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_81":84,"_83":84,"_85":105},"resistencia-dos-materiais-5",{"_15":92,"_68":165,"_70":166,"_72":73,"_74":-5,"_76":167,"_78":167,"_79":168,"_87":166},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_81":169,"_83":84,"_85":170},29,351586,{"_12":13,"_14":13,"_15":172,"_17":173,"_37":13,"_38":186,"_64":187},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[174,177,180,183],{"_15":175,"_21":22,"_23":176},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_15":178,"_21":27,"_23":179},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_15":181,"_21":31,"_23":182},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_15":184,"_21":35,"_23":185},"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.

",[66,88,98,107,113,121,127,135,140,148,153,158,164],{"_12":13,"_14":13,"_15":189,"_17":190,"_37":13,"_38":203,"_64":204},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[191,194,197,200],{"_15":192,"_21":22,"_23":193},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_15":195,"_21":27,"_23":196},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_15":198,"_21":31,"_23":199},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_15":201,"_21":35,"_23":202},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[66,88,98,107,113,121,127,135,140,148,153,158,164],{"_12":13,"_14":13,"_15":206,"_17":207,"_37":13,"_38":223,"_64":224},"996628fc-4ac3-4821-86bd-839f86a97a6d",[208,211,214,217,220],{"_15":209,"_21":22,"_23":210},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_15":212,"_21":27,"_23":213},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_15":215,"_21":31,"_23":216},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_15":218,"_21":35,"_23":219},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_15":221,"_21":61,"_23":222},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[66,88,98,107,113,121,127,135,140,148,153,158,164],{"_12":13,"_14":13,"_15":226,"_17":227,"_37":13,"_38":243,"_64":244},"c478a46c-46a8-4942-ae14-2e79def3dda2",[228,231,234,237,240],{"_15":229,"_21":22,"_23":230},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_15":232,"_21":27,"_23":233},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_15":235,"_21":31,"_23":236},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_15":238,"_21":35,"_23":239},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_15":241,"_21":61,"_23":242},"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????",[66,88,98,107,113,121,127,135,140,148,153,158,164],[66,88,98,107,113,121,127,135,140,148,153,158,164],"tagsTree",[248,255],{"_15":114,"_68":115,"_70":116,"_72":73,"_74":-5,"_76":117,"_78":117,"_79":118,"_87":116,"_249":250},"children",[251],{"_15":123,"_68":108,"_70":109,"_72":73,"_74":114,"_76":93,"_78":93,"_79":149,"_87":152,"_249":252},[253],{"_15":122,"_68":100,"_70":101,"_72":73,"_74":123,"_76":124,"_78":124,"_79":125,"_87":126,"_249":254},[],{"_15":92,"_68":165,"_70":166,"_72":73,"_74":-5,"_76":167,"_78":167,"_79":168,"_87":166,"_249":256},[257,263,269],{"_15":89,"_68":90,"_70":91,"_72":73,"_74":92,"_76":93,"_78":93,"_79":94,"_87":97,"_249":258},[259],{"_15":102,"_68":108,"_70":109,"_72":73,"_74":89,"_76":77,"_78":77,"_79":110,"_87":112,"_249":260},[261],{"_15":99,"_68":100,"_70":101,"_72":73,"_74":102,"_76":103,"_78":103,"_79":104,"_87":106,"_249":262},[],{"_15":128,"_68":129,"_70":130,"_72":73,"_74":92,"_76":93,"_78":93,"_79":131,"_87":134,"_249":264},[265],{"_15":141,"_68":142,"_70":143,"_72":73,"_74":128,"_76":144,"_78":144,"_79":145,"_87":147,"_249":266},[267],{"_15":159,"_68":160,"_70":101,"_72":73,"_74":141,"_76":161,"_78":161,"_79":162,"_87":163,"_249":268},[],{"_15":75,"_68":136,"_70":137,"_72":73,"_74":92,"_76":93,"_78":93,"_79":138,"_87":139,"_249":270},[271],{"_15":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":77,"_79":80,"_87":71,"_249":272},[273],{"_15":154,"_68":100,"_70":101,"_72":73,"_74":67,"_76":155,"_78":155,"_79":156,"_87":157,"_249":274},[],"actionData","errors"]

Aulas em vídeo Em breve

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