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Considerando disposto no Decreto 31.198/2013, as normas de conduta ética não se aplicam aos:

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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

",[228],{"_43":229,"_57":230,"_59":231,"_146":147,"_148":232,"_119":233,"_121":233,"_45":234,"_123":231},"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",{"_151":235,"_153":154,"_155":236},4,12302,{"_40":238,"_42":41,"_43":239,"_77":240,"_97":252,"_98":253,"_51":254},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[241,244,247,249],{"_43":242,"_81":82,"_83":243},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":245,"_81":87,"_83":246},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":238,"_81":91,"_83":248},"

Verdadeiro, falso, verdadeiro

",{"_43":250,"_81":95,"_83":251},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

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????",[278],{"_43":229,"_57":230,"_59":231,"_146":147,"_148":232,"_119":233,"_121":233,"_45":279,"_123":231},{"_151":235,"_153":154,"_155":236},[281,283,292,298,302,304,306,314,319,327,329,334,340],{"_43":229,"_57":230,"_59":231,"_146":147,"_148":232,"_119":233,"_121":233,"_45":282,"_123":231},{"_151":235,"_153":154,"_155":236},{"_43":284,"_57":285,"_59":286,"_146":147,"_148":287,"_119":163,"_121":163,"_45":288,"_123":291},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_151":289,"_153":154,"_155":290},5,30614,"engenharia-mecatronica-1",{"_43":293,"_57":58,"_59":60,"_146":147,"_148":294,"_119":295,"_121":295,"_45":296,"_123":297},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_151":154,"_153":154,"_155":173},"resistencia-dos-materiais-6",{"_43":294,"_57":161,"_59":162,"_146":147,"_148":284,"_119":233,"_121":233,"_45":299,"_123":301},{"_151":289,"_153":154,"_155":300},25741,"mecanica-3",{"_43":143,"_57":144,"_59":145,"_146":147,"_148":-5,"_119":149,"_121":149,"_45":303,"_123":145},{"_151":152,"_153":154,"_155":156},{"_43":170,"_57":58,"_59":60,"_146":147,"_148":160,"_119":171,"_121":171,"_45":305,"_123":174},{"_151":154,"_153":154,"_155":173},{"_43":307,"_57":308,"_59":309,"_146":147,"_148":287,"_119":163,"_121":163,"_45":310,"_123":313},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_151":311,"_153":154,"_155":312},21,45865,"engenharia-civil-3",{"_43":232,"_57":315,"_59":316,"_146":147,"_148":287,"_119":163,"_121":163,"_45":317,"_123":318},"Engenharia de Petróleo","engenharia-de-petroleo",{"_151":289,"_153":154,"_155":236},"engenharia-de-petroleo-1",{"_43":320,"_57":321,"_59":322,"_146":147,"_148":307,"_119":323,"_121":323,"_45":324,"_123":326},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_151":289,"_153":154,"_155":325},8852,"estruturas-1",{"_43":160,"_57":161,"_59":162,"_146":147,"_148":143,"_119":163,"_121":163,"_45":328,"_123":167},{"_151":165,"_153":154,"_155":166},{"_43":330,"_57":58,"_59":60,"_146":147,"_148":229,"_119":331,"_121":331,"_45":332,"_123":333},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_151":154,"_153":154,"_155":173},"resistencia-dos-materiais-7",{"_43":335,"_57":336,"_59":60,"_146":147,"_148":320,"_119":337,"_121":337,"_45":338,"_123":339},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_151":154,"_153":154,"_155":173},"resistencia-dos-materiais-5",{"_43":287,"_57":341,"_59":342,"_146":147,"_148":-5,"_119":343,"_121":343,"_45":344,"_123":342},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_151":345,"_153":154,"_155":346},29,351586,"tagsTree",[349,358],{"_43":143,"_57":144,"_59":145,"_146":147,"_148":-5,"_119":149,"_121":149,"_45":350,"_123":145,"_157":351},{"_151":152,"_153":154,"_155":156},[352],{"_43":160,"_57":161,"_59":162,"_146":147,"_148":143,"_119":163,"_121":163,"_45":353,"_123":167,"_157":354},{"_151":165,"_153":154,"_155":166},[355],{"_43":170,"_57":58,"_59":60,"_146":147,"_148":160,"_119":171,"_121":171,"_45":356,"_123":174,"_157":357},{"_151":154,"_153":154,"_155":173},[],{"_43":287,"_57":341,"_59":342,"_146":147,"_148":-5,"_119":343,"_121":343,"_45":359,"_123":342,"_157":360},{"_151":345,"_153":154,"_155":346},[361,370,379],{"_43":284,"_57":285,"_59":286,"_146":147,"_148":287,"_119":163,"_121":163,"_45":362,"_123":291,"_157":363},{"_151":289,"_153":154,"_155":290},[364],{"_43":294,"_57":161,"_59":162,"_146":147,"_148":284,"_119":233,"_121":233,"_45":365,"_123":301,"_157":366},{"_151":289,"_153":154,"_155":300},[367],{"_43":293,"_57":58,"_59":60,"_146":147,"_148":294,"_119":295,"_121":295,"_45":368,"_123":297,"_157":369},{"_151":154,"_153":154,"_155":173},[],{"_43":307,"_57":308,"_59":309,"_146":147,"_148":287,"_119":163,"_121":163,"_45":371,"_123":313,"_157":372},{"_151":311,"_153":154,"_155":312},[373],{"_43":320,"_57":321,"_59":322,"_146":147,"_148":307,"_119":323,"_121":323,"_45":374,"_123":326,"_157":375},{"_151":289,"_153":154,"_155":325},[376],{"_43":335,"_57":336,"_59":60,"_146":147,"_148":320,"_119":337,"_121":337,"_45":377,"_123":339,"_157":378},{"_151":154,"_153":154,"_155":173},[],{"_43":232,"_57":315,"_59":316,"_146":147,"_148":287,"_119":163,"_121":163,"_45":380,"_123":318,"_157":381},{"_151":289,"_153":154,"_155":236},[382],{"_43":229,"_57":230,"_59":231,"_146":147,"_148":232,"_119":233,"_121":233,"_45":383,"_123":231,"_157":384},{"_151":235,"_153":154,"_155":236},[385],{"_43":330,"_57":58,"_59":60,"_146":147,"_148":229,"_119":331,"_121":331,"_45":386,"_123":333,"_157":387},{"_151":154,"_153":154,"_155":173},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários