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TJ – GO / 2014 Um pilar de aço, com 3m de comprimento e extremidades rotuladas, está em equilíbrio e suporta uma carga de compressão. Sua seção transversal é retangular de 200 \text{ mm} \times 400 \text{ mm} de dimensões. O maior índice de esbeltez desse pilar é:

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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

",[173],{"_20":174,"_59":175,"_96":176,"_98":99,"_100":177,"_71":178,"_73":178,"_67":179,"_109":176},"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",{"_103":180,"_105":106,"_107":181},4,12302,{"_17":18,"_19":18,"_20":183,"_22":184,"_46":18,"_47":197,"_91":198},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[185,188,191,194],{"_20":186,"_26":27,"_28":187},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":189,"_26":32,"_28":190},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":192,"_26":36,"_28":193},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":195,"_26":40,"_28":196},"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.

",[173],{"_17":18,"_19":18,"_20":200,"_22":201,"_46":18,"_47":214,"_91":215},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[202,205,208,211],{"_20":203,"_26":27,"_28":204},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":206,"_26":32,"_28":207},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":209,"_26":36,"_28":210},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":212,"_26":40,"_28":213},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[173],[173,257,266,272,276,277,278,285,290,298,299,304,310],{"_20":258,"_59":259,"_96":260,"_98":99,"_100":261,"_71":116,"_73":116,"_67":262,"_109":265},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_103":263,"_105":106,"_107":264},5,30614,"engenharia-mecatronica-1",{"_20":267,"_59":124,"_96":125,"_98":99,"_100":268,"_71":269,"_73":269,"_67":270,"_109":271},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_103":106,"_105":106,"_107":128},"resistencia-dos-materiais-6",{"_20":268,"_59":114,"_96":115,"_98":99,"_100":258,"_71":178,"_73":178,"_67":273,"_109":275},{"_103":263,"_105":106,"_107":274},25741,"mecanica-3",{"_20":94,"_59":95,"_96":97,"_98":99,"_100":-5,"_71":101,"_73":101,"_67":102,"_109":97},{"_20":123,"_59":124,"_96":125,"_98":99,"_100":113,"_71":126,"_73":126,"_67":127,"_109":129},{"_20":279,"_59":280,"_96":281,"_98":99,"_100":261,"_71":116,"_73":116,"_67":282,"_109":284},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_103":135,"_105":106,"_107":283},45865,"engenharia-civil-3",{"_20":177,"_59":286,"_96":287,"_98":99,"_100":261,"_71":116,"_73":116,"_67":288,"_109":289},"Engenharia de Petróleo","engenharia-de-petroleo",{"_103":263,"_105":106,"_107":181},"engenharia-de-petroleo-1",{"_20":291,"_59":292,"_96":293,"_98":99,"_100":279,"_71":294,"_73":294,"_67":295,"_109":297},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_103":263,"_105":106,"_107":296},8852,"estruturas-1",{"_20":113,"_59":114,"_96":115,"_98":99,"_100":94,"_71":116,"_73":116,"_67":117,"_109":120},{"_20":300,"_59":124,"_96":125,"_98":99,"_100":174,"_71":301,"_73":301,"_67":302,"_109":303},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_103":106,"_105":106,"_107":128},"resistencia-dos-materiais-7",{"_20":305,"_59":306,"_96":125,"_98":99,"_100":291,"_71":307,"_73":307,"_67":308,"_109":309},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_103":106,"_105":106,"_107":128},"resistencia-dos-materiais-5",{"_20":261,"_59":311,"_96":312,"_98":99,"_100":-5,"_71":313,"_73":313,"_67":314,"_109":312},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_103":315,"_105":106,"_107":316},29,351586,"tagsTree",[93,319],{"_20":261,"_59":311,"_96":312,"_98":99,"_100":-5,"_71":313,"_73":313,"_67":314,"_109":312,"_110":320},[321,327,333],{"_20":258,"_59":259,"_96":260,"_98":99,"_100":261,"_71":116,"_73":116,"_67":262,"_109":265,"_110":322},[323],{"_20":268,"_59":114,"_96":115,"_98":99,"_100":258,"_71":178,"_73":178,"_67":273,"_109":275,"_110":324},[325],{"_20":267,"_59":124,"_96":125,"_98":99,"_100":268,"_71":269,"_73":269,"_67":270,"_109":271,"_110":326},[],{"_20":279,"_59":280,"_96":281,"_98":99,"_100":261,"_71":116,"_73":116,"_67":282,"_109":284,"_110":328},[329],{"_20":291,"_59":292,"_96":293,"_98":99,"_100":279,"_71":294,"_73":294,"_67":295,"_109":297,"_110":330},[331],{"_20":305,"_59":306,"_96":125,"_98":99,"_100":291,"_71":307,"_73":307,"_67":308,"_109":309,"_110":332},[],{"_20":177,"_59":286,"_96":287,"_98":99,"_100":261,"_71":116,"_73":116,"_67":288,"_109":289,"_110":334},[335],{"_20":174,"_59":175,"_96":176,"_98":99,"_100":177,"_71":178,"_73":178,"_67":179,"_109":176,"_110":336},[337],{"_20":300,"_59":124,"_96":125,"_98":99,"_100":174,"_71":301,"_73":301,"_67":302,"_109":303,"_110":338},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários