[{"_1":2,"_276":-5,"_277":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/c797f282-4b5e-49e3-90aa-9fefa3407ae2","user","pages/questions/show/index",{"_10":11,"_12":13,"_41":42,"_43":44,"_65":246,"_247":248},"comments",[],"question",{"_14":15,"_16":17,"_18":19,"_20":21,"_38":17,"_39":40},"correctOptionId","7dc721ab-b713-4537-99ea-e66fd666b0cb","difficulty","","id","c797f282-4b5e-49e3-90aa-9fefa3407ae2","options",[22,28,32,36],{"_18":23,"_24":25,"_26":27},"2c0a1a34-3454-4f5f-8ccb-8bd36a1ac6c1","label","A","text","

Carne, pele, animais de estimação e pele.

",{"_18":29,"_24":30,"_26":31},"bef5d73e-0235-4ee5-a6c2-21f9fc9a3b18","B","

Carne, pele, animais de estimação e lã.

",{"_18":33,"_24":34,"_26":35},"802d7256-fabf-4434-9004-1270c3ccbd77","C","

Carne, pele, lã e couro.

",{"_18":15,"_24":37,"_26":31},"D","solution_explanation","statement","

Quais são os diferentes tipos de produção de coelhos?

","relatedVideos",[],"similarQuestions",[45,172,189,206,226],{"_14":17,"_16":17,"_18":46,"_20":47,"_38":17,"_39":64,"_65":66},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[48,51,54,57,60],{"_18":49,"_24":25,"_26":50},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_18":52,"_24":30,"_26":53},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_18":55,"_24":34,"_26":56},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_18":58,"_24":37,"_26":59},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_18":61,"_24":62,"_26":63},"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",[67,89,99,108,114,122,128,136,141,149,154,159,165],{"_18":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":78,"_80":81,"_88":72},"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",{"_82":83,"_84":85,"_86":87},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_18":90,"_69":91,"_71":92,"_73":74,"_75":93,"_77":94,"_79":94,"_80":95,"_88":98},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_82":96,"_84":85,"_86":97},5,30614,"engenharia-mecatronica-1",{"_18":100,"_69":101,"_71":102,"_73":74,"_75":103,"_77":104,"_79":104,"_80":105,"_88":107},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_82":85,"_84":85,"_86":106},3376,"resistencia-dos-materiais-6",{"_18":103,"_69":109,"_71":110,"_73":74,"_75":90,"_77":78,"_79":78,"_80":111,"_88":113},"Mecânica","mecanica",{"_82":96,"_84":85,"_86":112},25741,"mecanica-3",{"_18":115,"_69":116,"_71":117,"_73":74,"_75":-5,"_77":118,"_79":118,"_80":119,"_88":117},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_82":120,"_84":85,"_86":121},18,135489,{"_18":123,"_69":101,"_71":102,"_73":74,"_75":124,"_77":125,"_79":125,"_80":126,"_88":127},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_82":85,"_84":85,"_86":106},"resistencia-dos-materiais-4",{"_18":129,"_69":130,"_71":131,"_73":74,"_75":93,"_77":94,"_79":94,"_80":132,"_88":135},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_82":133,"_84":85,"_86":134},21,45865,"engenharia-civil-3",{"_18":76,"_69":137,"_71":138,"_73":74,"_75":93,"_77":94,"_79":94,"_80":139,"_88":140},"Engenharia de Petróleo","engenharia-de-petroleo",{"_82":96,"_84":85,"_86":87},"engenharia-de-petroleo-1",{"_18":142,"_69":143,"_71":144,"_73":74,"_75":129,"_77":145,"_79":145,"_80":146,"_88":148},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_82":96,"_84":85,"_86":147},8852,"estruturas-1",{"_18":124,"_69":109,"_71":110,"_73":74,"_75":115,"_77":94,"_79":94,"_80":150,"_88":153},{"_82":151,"_84":85,"_86":152},10,19948,"mecanica-2",{"_18":155,"_69":101,"_71":102,"_73":74,"_75":68,"_77":156,"_79":156,"_80":157,"_88":158},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_82":85,"_84":85,"_86":106},"resistencia-dos-materiais-7",{"_18":160,"_69":161,"_71":102,"_73":74,"_75":142,"_77":162,"_79":162,"_80":163,"_88":164},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_82":85,"_84":85,"_86":106},"resistencia-dos-materiais-5",{"_18":93,"_69":166,"_71":167,"_73":74,"_75":-5,"_77":168,"_79":168,"_80":169,"_88":167},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_82":170,"_84":85,"_86":171},29,351586,{"_14":17,"_16":17,"_18":173,"_20":174,"_38":17,"_39":187,"_65":188},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[175,178,181,184],{"_18":176,"_24":25,"_26":177},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_18":179,"_24":30,"_26":180},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_18":182,"_24":34,"_26":183},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_18":185,"_24":37,"_26":186},"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.

",[67,89,99,108,114,122,128,136,141,149,154,159,165],{"_14":17,"_16":17,"_18":190,"_20":191,"_38":17,"_39":204,"_65":205},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[192,195,198,201],{"_18":193,"_24":25,"_26":194},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_18":196,"_24":30,"_26":197},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_18":199,"_24":34,"_26":200},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_18":202,"_24":37,"_26":203},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[67,89,99,108,114,122,128,136,141,149,154,159,165],{"_14":17,"_16":17,"_18":207,"_20":208,"_38":17,"_39":224,"_65":225},"996628fc-4ac3-4821-86bd-839f86a97a6d",[209,212,215,218,221],{"_18":210,"_24":25,"_26":211},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_18":213,"_24":30,"_26":214},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_18":216,"_24":34,"_26":217},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_18":219,"_24":37,"_26":220},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_18":222,"_24":62,"_26":223},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[67,89,99,108,114,122,128,136,141,149,154,159,165],{"_14":17,"_16":17,"_18":227,"_20":228,"_38":17,"_39":244,"_65":245},"c478a46c-46a8-4942-ae14-2e79def3dda2",[229,232,235,238,241],{"_18":230,"_24":25,"_26":231},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_18":233,"_24":30,"_26":234},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_18":236,"_24":34,"_26":237},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_18":239,"_24":37,"_26":240},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_18":242,"_24":62,"_26":243},"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????",[67,89,99,108,114,122,128,136,141,149,154,159,165],[67,89,99,108,114,122,128,136,141,149,154,159,165],"tagsTree",[249,256],{"_18":115,"_69":116,"_71":117,"_73":74,"_75":-5,"_77":118,"_79":118,"_80":119,"_88":117,"_250":251},"children",[252],{"_18":124,"_69":109,"_71":110,"_73":74,"_75":115,"_77":94,"_79":94,"_80":150,"_88":153,"_250":253},[254],{"_18":123,"_69":101,"_71":102,"_73":74,"_75":124,"_77":125,"_79":125,"_80":126,"_88":127,"_250":255},[],{"_18":93,"_69":166,"_71":167,"_73":74,"_75":-5,"_77":168,"_79":168,"_80":169,"_88":167,"_250":257},[258,264,270],{"_18":90,"_69":91,"_71":92,"_73":74,"_75":93,"_77":94,"_79":94,"_80":95,"_88":98,"_250":259},[260],{"_18":103,"_69":109,"_71":110,"_73":74,"_75":90,"_77":78,"_79":78,"_80":111,"_88":113,"_250":261},[262],{"_18":100,"_69":101,"_71":102,"_73":74,"_75":103,"_77":104,"_79":104,"_80":105,"_88":107,"_250":263},[],{"_18":129,"_69":130,"_71":131,"_73":74,"_75":93,"_77":94,"_79":94,"_80":132,"_88":135,"_250":265},[266],{"_18":142,"_69":143,"_71":144,"_73":74,"_75":129,"_77":145,"_79":145,"_80":146,"_88":148,"_250":267},[268],{"_18":160,"_69":161,"_71":102,"_73":74,"_75":142,"_77":162,"_79":162,"_80":163,"_88":164,"_250":269},[],{"_18":76,"_69":137,"_71":138,"_73":74,"_75":93,"_77":94,"_79":94,"_80":139,"_88":140,"_250":271},[272],{"_18":68,"_69":70,"_71":72,"_73":74,"_75":76,"_77":78,"_79":78,"_80":81,"_88":72,"_250":273},[274],{"_18":155,"_69":101,"_71":102,"_73":74,"_75":68,"_77":156,"_79":156,"_80":157,"_88":158,"_250":275},[],"actionData","errors"]

Aulas em vídeo Em breve

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