[{"_1":2,"_283":-5,"_284":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/be9ee5f3-ef93-4bf9-8c5f-1abd5140b97b","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_49":50,"_51":52,"_72":253,"_254":255},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":17,"_19":20,"_21":22,"_44":17,"_45":46,"_47":48},"correctOptionId","","difficulty","id","be9ee5f3-ef93-4bf9-8c5f-1abd5140b97b","options",[23,29,33,37,41],{"_19":24,"_25":26,"_27":28},"095f8858-ff96-46e4-aea0-b9696e8c88f5","label","A","text","V_a=3,50 \\text{ kN}; V_b=20,90 \\text{ kN}",{"_19":30,"_25":31,"_27":32},"aa24d9f1-6a24-4a2c-9326-3f8f173e56dc","B","V_a=3,70 \\text{ kN}; V_b=21,90 \\text{ kN}",{"_19":34,"_25":35,"_27":36},"9a6f5865-bae0-46d8-8258-98ea92ea5c06","C","V_a=3,70 \\text{ kN}; V_b=20,70 \\text{ kN}",{"_19":38,"_25":39,"_27":40},"89351a08-980b-4168-ba02-1d952ddd8950","D","V_a=3,80 \\text{ kN}; V_b=20,70 \\text{ kN}",{"_19":42,"_25":43,"_27":28},"6b64c21a-9fd4-4a58-a05f-dc8508f2a9e3","E","solution_explanation","statement","

Determine as reações de apoio da viga isostática biapoiada com balanço abaixo:

","status","pending_classification","relatedVideos",[],"similarQuestions",[53,179,196,213,233],{"_16":17,"_18":17,"_19":54,"_21":55,"_44":17,"_45":71,"_72":73},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[56,59,62,65,68],{"_19":57,"_25":26,"_27":58},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_19":60,"_25":31,"_27":61},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_19":63,"_25":35,"_27":64},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_19":66,"_25":39,"_27":67},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_19":69,"_25":43,"_27":70},"112831da-be9c-458e-94cb-e8292d0dba12","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",[74,96,106,115,121,129,135,143,148,156,161,166,172],{"_19":75,"_76":77,"_78":79,"_80":81,"_82":83,"_84":85,"_86":85,"_87":88,"_95":79},"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",{"_89":90,"_91":92,"_93":94},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_19":97,"_76":98,"_78":99,"_80":81,"_82":100,"_84":101,"_86":101,"_87":102,"_95":105},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_89":103,"_91":92,"_93":104},5,30614,"engenharia-mecatronica-1",{"_19":107,"_76":108,"_78":109,"_80":81,"_82":110,"_84":111,"_86":111,"_87":112,"_95":114},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_89":92,"_91":92,"_93":113},3376,"resistencia-dos-materiais-6",{"_19":110,"_76":116,"_78":117,"_80":81,"_82":97,"_84":85,"_86":85,"_87":118,"_95":120},"Mecânica","mecanica",{"_89":103,"_91":92,"_93":119},25741,"mecanica-3",{"_19":122,"_76":123,"_78":124,"_80":81,"_82":-5,"_84":125,"_86":125,"_87":126,"_95":124},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_89":127,"_91":92,"_93":128},18,135489,{"_19":130,"_76":108,"_78":109,"_80":81,"_82":131,"_84":132,"_86":132,"_87":133,"_95":134},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_89":92,"_91":92,"_93":113},"resistencia-dos-materiais-4",{"_19":136,"_76":137,"_78":138,"_80":81,"_82":100,"_84":101,"_86":101,"_87":139,"_95":142},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_89":140,"_91":92,"_93":141},21,45865,"engenharia-civil-3",{"_19":83,"_76":144,"_78":145,"_80":81,"_82":100,"_84":101,"_86":101,"_87":146,"_95":147},"Engenharia de Petróleo","engenharia-de-petroleo",{"_89":103,"_91":92,"_93":94},"engenharia-de-petroleo-1",{"_19":149,"_76":150,"_78":151,"_80":81,"_82":136,"_84":152,"_86":152,"_87":153,"_95":155},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_89":103,"_91":92,"_93":154},8852,"estruturas-1",{"_19":131,"_76":116,"_78":117,"_80":81,"_82":122,"_84":101,"_86":101,"_87":157,"_95":160},{"_89":158,"_91":92,"_93":159},10,19948,"mecanica-2",{"_19":162,"_76":108,"_78":109,"_80":81,"_82":75,"_84":163,"_86":163,"_87":164,"_95":165},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_89":92,"_91":92,"_93":113},"resistencia-dos-materiais-7",{"_19":167,"_76":168,"_78":109,"_80":81,"_82":149,"_84":169,"_86":169,"_87":170,"_95":171},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_89":92,"_91":92,"_93":113},"resistencia-dos-materiais-5",{"_19":100,"_76":173,"_78":174,"_80":81,"_82":-5,"_84":175,"_86":175,"_87":176,"_95":174},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_89":177,"_91":92,"_93":178},29,351586,{"_16":17,"_18":17,"_19":180,"_21":181,"_44":17,"_45":194,"_72":195},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[182,185,188,191],{"_19":183,"_25":26,"_27":184},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_19":186,"_25":31,"_27":187},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_19":189,"_25":35,"_27":190},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_19":192,"_25":39,"_27":193},"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.

",[74,96,106,115,121,129,135,143,148,156,161,166,172],{"_16":17,"_18":17,"_19":197,"_21":198,"_44":17,"_45":211,"_72":212},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[199,202,205,208],{"_19":200,"_25":26,"_27":201},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_19":203,"_25":31,"_27":204},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_19":206,"_25":35,"_27":207},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_19":209,"_25":39,"_27":210},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[74,96,106,115,121,129,135,143,148,156,161,166,172],{"_16":17,"_18":17,"_19":214,"_21":215,"_44":17,"_45":231,"_72":232},"996628fc-4ac3-4821-86bd-839f86a97a6d",[216,219,222,225,228],{"_19":217,"_25":26,"_27":218},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_19":220,"_25":31,"_27":221},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_19":223,"_25":35,"_27":224},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_19":226,"_25":39,"_27":227},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_19":229,"_25":43,"_27":230},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[74,96,106,115,121,129,135,143,148,156,161,166,172],{"_16":17,"_18":17,"_19":234,"_21":235,"_44":17,"_45":251,"_72":252},"c478a46c-46a8-4942-ae14-2e79def3dda2",[236,239,242,245,248],{"_19":237,"_25":26,"_27":238},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_19":240,"_25":31,"_27":241},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_19":243,"_25":35,"_27":244},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_19":246,"_25":39,"_27":247},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_19":249,"_25":43,"_27":250},"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????",[74,96,106,115,121,129,135,143,148,156,161,166,172],[74,96,106,115,121,129,135,143,148,156,161,166,172],"tagsTree",[256,263],{"_19":122,"_76":123,"_78":124,"_80":81,"_82":-5,"_84":125,"_86":125,"_87":126,"_95":124,"_257":258},"children",[259],{"_19":131,"_76":116,"_78":117,"_80":81,"_82":122,"_84":101,"_86":101,"_87":157,"_95":160,"_257":260},[261],{"_19":130,"_76":108,"_78":109,"_80":81,"_82":131,"_84":132,"_86":132,"_87":133,"_95":134,"_257":262},[],{"_19":100,"_76":173,"_78":174,"_80":81,"_82":-5,"_84":175,"_86":175,"_87":176,"_95":174,"_257":264},[265,271,277],{"_19":97,"_76":98,"_78":99,"_80":81,"_82":100,"_84":101,"_86":101,"_87":102,"_95":105,"_257":266},[267],{"_19":110,"_76":116,"_78":117,"_80":81,"_82":97,"_84":85,"_86":85,"_87":118,"_95":120,"_257":268},[269],{"_19":107,"_76":108,"_78":109,"_80":81,"_82":110,"_84":111,"_86":111,"_87":112,"_95":114,"_257":270},[],{"_19":136,"_76":137,"_78":138,"_80":81,"_82":100,"_84":101,"_86":101,"_87":139,"_95":142,"_257":272},[273],{"_19":149,"_76":150,"_78":151,"_80":81,"_82":136,"_84":152,"_86":152,"_87":153,"_95":155,"_257":274},[275],{"_19":167,"_76":168,"_78":109,"_80":81,"_82":149,"_84":169,"_86":169,"_87":170,"_95":171,"_257":276},[],{"_19":83,"_76":144,"_78":145,"_80":81,"_82":100,"_84":101,"_86":101,"_87":146,"_95":147,"_257":278},[279],{"_19":75,"_76":77,"_78":79,"_80":81,"_82":83,"_84":85,"_86":85,"_87":88,"_95":79,"_257":280},[281],{"_19":162,"_76":108,"_78":109,"_80":81,"_82":75,"_84":163,"_86":163,"_87":164,"_95":165,"_257":282},[],"actionData","errors"]

Comentários