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O que são vigas hiperestáticas?

","status","pending_classification","hasRelatedVideo","relatedVideos",[101],{"_102":103,"_121":122,"_51":137,"_172":173,"_190":191},"content",{"_43":104,"_57":105,"_106":-5,"_107":108,"_109":110,"_111":-5,"_45":112,"_115":116,"_117":116,"_118":-5,"_119":120},"468e3e62-35e0-47be-a15f-68dd43bb32bb","Óptica Geométrica - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","fa6aaf42-4cc4-4d76-8915-7a67081f7e9a","user_id",{"_113":114},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_123":124,"_130":131,"_132":133,"_134":135,"_28":136},"provider",{"_43":125,"_126":127,"_128":129},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","d80487a0-0f98-42c8-99bb-551165ba3068","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/levels.m3u8",[138],{"_43":139,"_57":140,"_59":141,"_142":143,"_144":-5,"_115":145,"_117":145,"_45":146,"_119":141,"_153":154},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","2025-04-29T01:56:45.284172+00:00",{"_147":148,"_149":150,"_151":152},"childrenCount",18,"content_count",0,"question_count",135489,"children",[155],{"_43":156,"_57":157,"_59":158,"_142":143,"_144":139,"_115":159,"_117":159,"_45":160,"_119":163,"_153":164},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_147":161,"_149":150,"_151":162},10,19948,"mecanica-2",[165],{"_43":166,"_57":58,"_59":60,"_142":143,"_144":156,"_115":167,"_117":167,"_45":168,"_119":170,"_153":171},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_147":150,"_149":150,"_151":169},3376,"resistencia-dos-materiais-4",[],"video",{"_43":110,"_13":105,"_106":-5,"_174":175,"_176":177,"_28":-5,"_178":-5,"_123":177,"_179":180,"_134":-5,"_181":-5,"_182":-5,"_183":-5,"_184":-5,"_45":185,"_186":150,"_187":-5,"_96":188,"_115":189,"_117":189},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_113":114},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_43":139,"_57":140,"_59":141,"_142":143,"_144":-5,"_115":145,"_117":145,"_45":192,"_119":141,"_153":193},{"_147":148,"_149":150,"_151":152},[194],{"_43":156,"_57":157,"_59":158,"_142":143,"_144":139,"_115":159,"_117":159,"_45":195,"_119":163,"_153":196},{"_147":161,"_149":150,"_151":162},[197],{"_43":166,"_57":58,"_59":60,"_142":143,"_144":156,"_115":167,"_117":167,"_45":198,"_119":170,"_153":199},{"_147":150,"_149":150,"_151":169},[],"similarQuestions",[202,234,254],{"_40":203,"_42":41,"_43":204,"_77":205,"_93":222,"_94":223,"_51":224},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[206,209,212,215,219],{"_43":207,"_81":82,"_83":208},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":210,"_81":87,"_83":211},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":213,"_81":91,"_83":214},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":216,"_81":217,"_83":218},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_43":203,"_81":220,"_83":221},"E","y'' - 2y' + 6y = 0","Somente em y''−2y'+6y=0 o polinômio característico r²−2r+6=0 tem Δ<0, gerando raízes complexas conjugadas (1±i√5) e, portanto, solução em termos de exponencial modulando seno e cosseno. Nos demais itens (a–d) o discriminante é ≥0, produzindo raízes reais (distintas ou repetidas).","

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

",[225],{"_43":226,"_57":227,"_59":228,"_142":143,"_144":229,"_115":230,"_117":230,"_45":231,"_119":228},"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",{"_147":232,"_149":150,"_151":233},4,12302,{"_40":235,"_42":41,"_43":236,"_77":237,"_93":249,"_94":250,"_51":251},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[238,241,244,246],{"_43":239,"_81":82,"_83":240},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":242,"_81":87,"_83":243},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":235,"_81":91,"_83":245},"

Verdadeiro, falso, verdadeiro

",{"_43":247,"_81":217,"_83":248},"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????",[275],{"_43":226,"_57":227,"_59":228,"_142":143,"_144":229,"_115":230,"_117":230,"_45":276,"_119":228},{"_147":232,"_149":150,"_151":233},[278,280,289,295,299,301,303,311,316,324,326,331,337],{"_43":226,"_57":227,"_59":228,"_142":143,"_144":229,"_115":230,"_117":230,"_45":279,"_119":228},{"_147":232,"_149":150,"_151":233},{"_43":281,"_57":282,"_59":283,"_142":143,"_144":284,"_115":159,"_117":159,"_45":285,"_119":288},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_147":286,"_149":150,"_151":287},5,30614,"engenharia-mecatronica-1",{"_43":290,"_57":58,"_59":60,"_142":143,"_144":291,"_115":292,"_117":292,"_45":293,"_119":294},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_147":150,"_149":150,"_151":169},"resistencia-dos-materiais-6",{"_43":291,"_57":157,"_59":158,"_142":143,"_144":281,"_115":230,"_117":230,"_45":296,"_119":298},{"_147":286,"_149":150,"_151":297},25741,"mecanica-3",{"_43":139,"_57":140,"_59":141,"_142":143,"_144":-5,"_115":145,"_117":145,"_45":300,"_119":141},{"_147":148,"_149":150,"_151":152},{"_43":166,"_57":58,"_59":60,"_142":143,"_144":156,"_115":167,"_117":167,"_45":302,"_119":170},{"_147":150,"_149":150,"_151":169},{"_43":304,"_57":305,"_59":306,"_142":143,"_144":284,"_115":159,"_117":159,"_45":307,"_119":310},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_147":308,"_149":150,"_151":309},21,45865,"engenharia-civil-3",{"_43":229,"_57":312,"_59":313,"_142":143,"_144":284,"_115":159,"_117":159,"_45":314,"_119":315},"Engenharia de Petróleo","engenharia-de-petroleo",{"_147":286,"_149":150,"_151":233},"engenharia-de-petroleo-1",{"_43":317,"_57":318,"_59":319,"_142":143,"_144":304,"_115":320,"_117":320,"_45":321,"_119":323},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_147":286,"_149":150,"_151":322},8852,"estruturas-1",{"_43":156,"_57":157,"_59":158,"_142":143,"_144":139,"_115":159,"_117":159,"_45":325,"_119":163},{"_147":161,"_149":150,"_151":162},{"_43":327,"_57":58,"_59":60,"_142":143,"_144":226,"_115":328,"_117":328,"_45":329,"_119":330},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_147":150,"_149":150,"_151":169},"resistencia-dos-materiais-7",{"_43":332,"_57":333,"_59":60,"_142":143,"_144":317,"_115":334,"_117":334,"_45":335,"_119":336},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_147":150,"_149":150,"_151":169},"resistencia-dos-materiais-5",{"_43":284,"_57":338,"_59":339,"_142":143,"_144":-5,"_115":340,"_117":340,"_45":341,"_119":339},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_147":342,"_149":150,"_151":343},29,351586,"tagsTree",[346,355],{"_43":139,"_57":140,"_59":141,"_142":143,"_144":-5,"_115":145,"_117":145,"_45":347,"_119":141,"_153":348},{"_147":148,"_149":150,"_151":152},[349],{"_43":156,"_57":157,"_59":158,"_142":143,"_144":139,"_115":159,"_117":159,"_45":350,"_119":163,"_153":351},{"_147":161,"_149":150,"_151":162},[352],{"_43":166,"_57":58,"_59":60,"_142":143,"_144":156,"_115":167,"_117":167,"_45":353,"_119":170,"_153":354},{"_147":150,"_149":150,"_151":169},[],{"_43":284,"_57":338,"_59":339,"_142":143,"_144":-5,"_115":340,"_117":340,"_45":356,"_119":339,"_153":357},{"_147":342,"_149":150,"_151":343},[358,367,376],{"_43":281,"_57":282,"_59":283,"_142":143,"_144":284,"_115":159,"_117":159,"_45":359,"_119":288,"_153":360},{"_147":286,"_149":150,"_151":287},[361],{"_43":291,"_57":157,"_59":158,"_142":143,"_144":281,"_115":230,"_117":230,"_45":362,"_119":298,"_153":363},{"_147":286,"_149":150,"_151":297},[364],{"_43":290,"_57":58,"_59":60,"_142":143,"_144":291,"_115":292,"_117":292,"_45":365,"_119":294,"_153":366},{"_147":150,"_149":150,"_151":169},[],{"_43":304,"_57":305,"_59":306,"_142":143,"_144":284,"_115":159,"_117":159,"_45":368,"_119":310,"_153":369},{"_147":308,"_149":150,"_151":309},[370],{"_43":317,"_57":318,"_59":319,"_142":143,"_144":304,"_115":320,"_117":320,"_45":371,"_119":323,"_153":372},{"_147":286,"_149":150,"_151":322},[373],{"_43":332,"_57":333,"_59":60,"_142":143,"_144":317,"_115":334,"_117":334,"_45":374,"_119":336,"_153":375},{"_147":150,"_149":150,"_151":169},[],{"_43":229,"_57":312,"_59":313,"_142":143,"_144":284,"_115":159,"_117":159,"_45":377,"_119":315,"_153":378},{"_147":286,"_149":150,"_151":233},[379],{"_43":226,"_57":227,"_59":228,"_142":143,"_144":229,"_115":230,"_117":230,"_45":380,"_119":228,"_153":381},{"_147":232,"_149":150,"_151":233},[382],{"_43":327,"_57":58,"_59":60,"_142":143,"_144":226,"_115":328,"_117":328,"_45":383,"_119":330,"_153":384},{"_147":150,"_149":150,"_151":169},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários