[{"_1":2,"_337":-5,"_338":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/93a32dd4-5fc6-4ccb-a76f-4724bf113742","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":13,"_15":16,"_49":50,"_147":148,"_87":250,"_311":312,"_333":334,"_335":336},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_17":18,"_19":18,"_20":21,"_22":23,"_42":18,"_43":44,"_45":46,"_47":48},"correctOptionId","","difficulty","id","93a32dd4-5fc6-4ccb-a76f-4724bf113742","options",[24,30,34,38],{"_20":25,"_26":27,"_28":29},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","label","A","text","

Verdadeiro, verdadeiro, falso

",{"_20":31,"_26":32,"_28":33},"c9a20855-d84b-4860-8b35-9784818282cf","B","

Falso, verdadeiro, verdadeiro

",{"_20":35,"_26":36,"_28":37},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","C","

Verdadeiro, falso, verdadeiro

",{"_20":39,"_26":40,"_28":41},"3c98539b-1af9-4d44-aecd-c266754a2075","D","

Falso, falso, falso

","solution_explanation","statement","

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

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35, 36 y 37

",{"_20":156,"_26":32,"_28":157},"ae8a515c-e5cc-4ce4-9254-ef8a97aed6de","

36, 37 y 38

",{"_20":159,"_26":36,"_28":160},"946fe06f-2693-4e18-94d4-6c87dccf4c5b","

33, 34 y 35

","

La suma de tres números enteros consecutivos es 108. ¿Cuáles son esos números?

",[163],{"_20":164,"_55":165,"_92":166,"_94":95,"_96":167,"_67":168,"_69":168,"_63":169,"_105":166},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_99":170,"_101":102,"_103":171},4,12302,{"_17":18,"_19":18,"_20":173,"_22":174,"_42":18,"_43":191,"_87":192},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[175,178,181,184,187],{"_20":176,"_26":27,"_28":177},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_20":179,"_26":32,"_28":180},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_20":182,"_26":36,"_28":183},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_20":185,"_26":40,"_28":186},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_20":188,"_26":189,"_28":190},"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

",[163],{"_17":18,"_19":18,"_20":194,"_22":195,"_42":18,"_43":208,"_87":209},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[196,199,202,205],{"_20":197,"_26":27,"_28":198},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":200,"_26":32,"_28":201},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":203,"_26":36,"_28":204},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":206,"_26":40,"_28":207},"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.

",[163],{"_17":18,"_19":18,"_20":211,"_22":212,"_42":18,"_43":228,"_87":229},"996628fc-4ac3-4821-86bd-839f86a97a6d",[213,216,219,222,225],{"_20":214,"_26":27,"_28":215},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_20":217,"_26":32,"_28":218},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_20":220,"_26":36,"_28":221},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_20":223,"_26":40,"_28":224},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_20":226,"_26":189,"_28":227},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[163],{"_17":18,"_19":18,"_20":231,"_22":232,"_42":18,"_43":248,"_87":249},"c478a46c-46a8-4942-ae14-2e79def3dda2",[233,236,239,242,245],{"_20":234,"_26":27,"_28":235},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_20":237,"_26":32,"_28":238},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_20":240,"_26":36,"_28":241},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_20":243,"_26":40,"_28":244},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_20":246,"_26":189,"_28":247},"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????",[163],[163,251,260,266,270,271,272,279,284,292,293,298,304],{"_20":252,"_55":253,"_92":254,"_94":95,"_96":255,"_67":112,"_69":112,"_63":256,"_105":259},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_99":257,"_101":102,"_103":258},5,30614,"engenharia-mecatronica-1",{"_20":261,"_55":120,"_92":121,"_94":95,"_96":262,"_67":263,"_69":263,"_63":264,"_105":265},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_99":102,"_101":102,"_103":124},"resistencia-dos-materiais-6",{"_20":262,"_55":110,"_92":111,"_94":95,"_96":252,"_67":168,"_69":168,"_63":267,"_105":269},{"_99":257,"_101":102,"_103":268},25741,"mecanica-3",{"_20":90,"_55":91,"_92":93,"_94":95,"_96":-5,"_67":97,"_69":97,"_63":98,"_105":93},{"_20":119,"_55":120,"_92":121,"_94":95,"_96":109,"_67":122,"_69":122,"_63":123,"_105":125},{"_20":273,"_55":274,"_92":275,"_94":95,"_96":255,"_67":112,"_69":112,"_63":276,"_105":278},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_99":131,"_101":102,"_103":277},45865,"engenharia-civil-3",{"_20":167,"_55":280,"_92":281,"_94":95,"_96":255,"_67":112,"_69":112,"_63":282,"_105":283},"Engenharia de Petróleo","engenharia-de-petroleo",{"_99":257,"_101":102,"_103":171},"engenharia-de-petroleo-1",{"_20":285,"_55":286,"_92":287,"_94":95,"_96":273,"_67":288,"_69":288,"_63":289,"_105":291},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_99":257,"_101":102,"_103":290},8852,"estruturas-1",{"_20":109,"_55":110,"_92":111,"_94":95,"_96":90,"_67":112,"_69":112,"_63":113,"_105":116},{"_20":294,"_55":120,"_92":121,"_94":95,"_96":164,"_67":295,"_69":295,"_63":296,"_105":297},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_99":102,"_101":102,"_103":124},"resistencia-dos-materiais-7",{"_20":299,"_55":300,"_92":121,"_94":95,"_96":285,"_67":301,"_69":301,"_63":302,"_105":303},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_99":102,"_101":102,"_103":124},"resistencia-dos-materiais-5",{"_20":255,"_55":305,"_92":306,"_94":95,"_96":-5,"_67":307,"_69":307,"_63":308,"_105":306},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_99":309,"_101":102,"_103":310},29,351586,"tagsTree",[89,313],{"_20":255,"_55":305,"_92":306,"_94":95,"_96":-5,"_67":307,"_69":307,"_63":308,"_105":306,"_106":314},[315,321,327],{"_20":252,"_55":253,"_92":254,"_94":95,"_96":255,"_67":112,"_69":112,"_63":256,"_105":259,"_106":316},[317],{"_20":262,"_55":110,"_92":111,"_94":95,"_96":252,"_67":168,"_69":168,"_63":267,"_105":269,"_106":318},[319],{"_20":261,"_55":120,"_92":121,"_94":95,"_96":262,"_67":263,"_69":263,"_63":264,"_105":265,"_106":320},[],{"_20":273,"_55":274,"_92":275,"_94":95,"_96":255,"_67":112,"_69":112,"_63":276,"_105":278,"_106":322},[323],{"_20":285,"_55":286,"_92":287,"_94":95,"_96":273,"_67":288,"_69":288,"_63":289,"_105":291,"_106":324},[325],{"_20":299,"_55":300,"_92":121,"_94":95,"_96":285,"_67":301,"_69":301,"_63":302,"_105":303,"_106":326},[],{"_20":167,"_55":280,"_92":281,"_94":95,"_96":255,"_67":112,"_69":112,"_63":282,"_105":283,"_106":328},[329],{"_20":164,"_55":165,"_92":166,"_94":95,"_96":167,"_67":168,"_69":168,"_63":169,"_105":166,"_106":330},[331],{"_20":294,"_55":120,"_92":121,"_94":95,"_96":164,"_67":295,"_69":295,"_63":296,"_105":297,"_106":332},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários