[{"_1":2,"_279":-5,"_280":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/cc149dfe-7783-46ef-a864-bcefb3fa6bef","user","pages/questions/show/index",{"_10":11,"_12":13,"_45":46,"_47":48,"_68":249,"_250":251},"comments",[],"question",{"_14":15,"_16":17,"_18":19,"_20":21,"_42":17,"_43":44},"correctOptionId","52554d80-11b0-4a81-965d-a2eff6250eeb","difficulty","","id","cc149dfe-7783-46ef-a864-bcefb3fa6bef","options",[22,28,32,35,39],{"_18":23,"_24":25,"_26":27},"a427f0c5-5686-4302-9e48-91c6f6ae8d1d","label","A","text","R_B=413 \\, \\text{N}, R_A=586 \\, \\text{N}",{"_18":29,"_24":30,"_26":31},"cad2fd57-2047-4367-8742-1732a2876ca6","B","R_B=113 \\, \\text{N}, R_A=65 \\, \\text{N}",{"_18":15,"_24":33,"_26":34},"C","R_B=586 \\, \\text{N}, R_A=413 \\, \\text{N}",{"_18":36,"_24":37,"_26":38},"22328e5f-9223-40c5-b170-b215e7d4e81e","D","R_B=723 \\, \\text{N}, R_A=269 \\, \\text{N}",{"_18":40,"_24":41,"_26":38},"81fb3142-b8ca-4e40-b732-19811050071c","E","solution_explanation","statement","

Determine a intensidade das reações dos apoios A e B.

","relatedVideos",[],"similarQuestions",[49,175,192,209,229],{"_14":17,"_16":17,"_18":50,"_20":51,"_42":17,"_43":67,"_68":69},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[52,55,58,61,64],{"_18":53,"_24":25,"_26":54},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_18":56,"_24":30,"_26":57},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_18":59,"_24":33,"_26":60},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_18":62,"_24":37,"_26":63},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_18":65,"_24":41,"_26":66},"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",[70,92,102,111,117,125,131,139,144,152,157,162,168],{"_18":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":81,"_83":84,"_91":75},"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",{"_85":86,"_87":88,"_89":90},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_18":93,"_72":94,"_74":95,"_76":77,"_78":96,"_80":97,"_82":97,"_83":98,"_91":101},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_85":99,"_87":88,"_89":100},5,30614,"engenharia-mecatronica-1",{"_18":103,"_72":104,"_74":105,"_76":77,"_78":106,"_80":107,"_82":107,"_83":108,"_91":110},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_85":88,"_87":88,"_89":109},3376,"resistencia-dos-materiais-6",{"_18":106,"_72":112,"_74":113,"_76":77,"_78":93,"_80":81,"_82":81,"_83":114,"_91":116},"Mecânica","mecanica",{"_85":99,"_87":88,"_89":115},25741,"mecanica-3",{"_18":118,"_72":119,"_74":120,"_76":77,"_78":-5,"_80":121,"_82":121,"_83":122,"_91":120},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_85":123,"_87":88,"_89":124},18,135489,{"_18":126,"_72":104,"_74":105,"_76":77,"_78":127,"_80":128,"_82":128,"_83":129,"_91":130},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_85":88,"_87":88,"_89":109},"resistencia-dos-materiais-4",{"_18":132,"_72":133,"_74":134,"_76":77,"_78":96,"_80":97,"_82":97,"_83":135,"_91":138},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_85":136,"_87":88,"_89":137},21,45865,"engenharia-civil-3",{"_18":79,"_72":140,"_74":141,"_76":77,"_78":96,"_80":97,"_82":97,"_83":142,"_91":143},"Engenharia de Petróleo","engenharia-de-petroleo",{"_85":99,"_87":88,"_89":90},"engenharia-de-petroleo-1",{"_18":145,"_72":146,"_74":147,"_76":77,"_78":132,"_80":148,"_82":148,"_83":149,"_91":151},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_85":99,"_87":88,"_89":150},8852,"estruturas-1",{"_18":127,"_72":112,"_74":113,"_76":77,"_78":118,"_80":97,"_82":97,"_83":153,"_91":156},{"_85":154,"_87":88,"_89":155},10,19948,"mecanica-2",{"_18":158,"_72":104,"_74":105,"_76":77,"_78":71,"_80":159,"_82":159,"_83":160,"_91":161},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_85":88,"_87":88,"_89":109},"resistencia-dos-materiais-7",{"_18":163,"_72":164,"_74":105,"_76":77,"_78":145,"_80":165,"_82":165,"_83":166,"_91":167},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_85":88,"_87":88,"_89":109},"resistencia-dos-materiais-5",{"_18":96,"_72":169,"_74":170,"_76":77,"_78":-5,"_80":171,"_82":171,"_83":172,"_91":170},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_85":173,"_87":88,"_89":174},29,351586,{"_14":17,"_16":17,"_18":176,"_20":177,"_42":17,"_43":190,"_68":191},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[178,181,184,187],{"_18":179,"_24":25,"_26":180},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_18":182,"_24":30,"_26":183},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_18":185,"_24":33,"_26":186},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_18":188,"_24":37,"_26":189},"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.

",[70,92,102,111,117,125,131,139,144,152,157,162,168],{"_14":17,"_16":17,"_18":193,"_20":194,"_42":17,"_43":207,"_68":208},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[195,198,201,204],{"_18":196,"_24":25,"_26":197},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_18":199,"_24":30,"_26":200},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_18":202,"_24":33,"_26":203},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_18":205,"_24":37,"_26":206},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[70,92,102,111,117,125,131,139,144,152,157,162,168],{"_14":17,"_16":17,"_18":210,"_20":211,"_42":17,"_43":227,"_68":228},"996628fc-4ac3-4821-86bd-839f86a97a6d",[212,215,218,221,224],{"_18":213,"_24":25,"_26":214},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_18":216,"_24":30,"_26":217},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_18":219,"_24":33,"_26":220},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_18":222,"_24":37,"_26":223},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_18":225,"_24":41,"_26":226},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[70,92,102,111,117,125,131,139,144,152,157,162,168],{"_14":17,"_16":17,"_18":230,"_20":231,"_42":17,"_43":247,"_68":248},"c478a46c-46a8-4942-ae14-2e79def3dda2",[232,235,238,241,244],{"_18":233,"_24":25,"_26":234},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_18":236,"_24":30,"_26":237},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_18":239,"_24":33,"_26":240},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_18":242,"_24":37,"_26":243},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_18":245,"_24":41,"_26":246},"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????",[70,92,102,111,117,125,131,139,144,152,157,162,168],[70,92,102,111,117,125,131,139,144,152,157,162,168],"tagsTree",[252,259],{"_18":118,"_72":119,"_74":120,"_76":77,"_78":-5,"_80":121,"_82":121,"_83":122,"_91":120,"_253":254},"children",[255],{"_18":127,"_72":112,"_74":113,"_76":77,"_78":118,"_80":97,"_82":97,"_83":153,"_91":156,"_253":256},[257],{"_18":126,"_72":104,"_74":105,"_76":77,"_78":127,"_80":128,"_82":128,"_83":129,"_91":130,"_253":258},[],{"_18":96,"_72":169,"_74":170,"_76":77,"_78":-5,"_80":171,"_82":171,"_83":172,"_91":170,"_253":260},[261,267,273],{"_18":93,"_72":94,"_74":95,"_76":77,"_78":96,"_80":97,"_82":97,"_83":98,"_91":101,"_253":262},[263],{"_18":106,"_72":112,"_74":113,"_76":77,"_78":93,"_80":81,"_82":81,"_83":114,"_91":116,"_253":264},[265],{"_18":103,"_72":104,"_74":105,"_76":77,"_78":106,"_80":107,"_82":107,"_83":108,"_91":110,"_253":266},[],{"_18":132,"_72":133,"_74":134,"_76":77,"_78":96,"_80":97,"_82":97,"_83":135,"_91":138,"_253":268},[269],{"_18":145,"_72":146,"_74":147,"_76":77,"_78":132,"_80":148,"_82":148,"_83":149,"_91":151,"_253":270},[271],{"_18":163,"_72":164,"_74":105,"_76":77,"_78":145,"_80":165,"_82":165,"_83":166,"_91":167,"_253":272},[],{"_18":79,"_72":140,"_74":141,"_76":77,"_78":96,"_80":97,"_82":97,"_83":142,"_91":143,"_253":274},[275],{"_18":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":81,"_83":84,"_91":75,"_253":276},[277],{"_18":158,"_72":104,"_74":105,"_76":77,"_78":71,"_80":159,"_82":159,"_83":160,"_91":161,"_253":278},[],"actionData","errors"]

Aulas em vídeo Em breve

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