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Já “heroísmo” tem acento no “í” por ocorrer hiato (vogal I tônica sozinha entre vogais). Portanto, as duas palavras não compartilham a mesma justificativa de acentuação, diferentemente dos demais pares.","statement","O item cujas palavras não obedecem à mesma regra de acentuação é:","status","published","hasRelatedVideo","relatedVideos",[89],{"_90":91,"_109":110,"_31":125,"_160":161,"_179":126},"content",{"_23":92,"_37":93,"_94":-5,"_95":96,"_97":98,"_99":-5,"_25":100,"_103":104,"_105":104,"_106":-5,"_107":108},"d7445eb4-940f-400d-9e21-c48e5b546827","Seno, Cosseno e Tangente - 07 - Relações Trigonométricas Fundamentais - Parte 03","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","f78aeac1-d414-446f-b744-4c22adf43d28","user_id",{"_101":102},"external_id","12311","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","seno-cosseno-e-tangente-07-relacoes-trigonometricas-fundamentais-parte-03","prometheusData",{"_111":112,"_118":119,"_120":121,"_122":123,"_6":124},"provider",{"_23":113,"_114":115,"_116":117},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","6b47621c-23f5-4f45-bda4-2f7b9f06b186","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/6b47621c-23f5-4f45-bda4-2f7b9f06b186/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/6b47621c-23f5-4f45-bda4-2f7b9f06b186/levels.m3u8",[126],{"_23":127,"_37":128,"_39":129,"_130":131,"_132":-5,"_103":133,"_105":133,"_25":134,"_107":129,"_141":142},"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",{"_135":136,"_137":138,"_139":140},"childrenCount",18,"content_count",0,"question_count",135489,"children",[143],{"_23":144,"_37":145,"_39":146,"_130":131,"_132":127,"_103":147,"_105":147,"_25":148,"_107":151,"_141":152},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_135":149,"_137":138,"_139":150},10,19948,"mecanica-2",[153],{"_23":154,"_37":38,"_39":40,"_130":131,"_132":144,"_103":155,"_105":155,"_25":156,"_107":158,"_141":159},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_135":138,"_137":138,"_139":157},3376,"resistencia-dos-materiais-4",[],"video",{"_23":98,"_162":93,"_94":-5,"_163":164,"_165":166,"_6":-5,"_167":-5,"_111":166,"_168":169,"_122":-5,"_170":-5,"_171":-5,"_172":-5,"_173":-5,"_25":174,"_175":138,"_176":-5,"_84":177,"_103":178,"_105":178},"title","duration",29,"source_type","prometheus","iframe_url","provider_video_id","c8fba502-4a10-4fc1-bdc7-02fbd5240097","format","quality","file_path","file_size",{"_101":102},"views_count","last_played_at","draft","2025-08-19T11:56:14.613229+00:00","tag","similarQuestions",[182,212,230],{"_19":183,"_21":22,"_23":184,"_57":185,"_80":200,"_82":201,"_31":202},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[186,189,192,195,198],{"_23":187,"_61":62,"_63":188},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_23":190,"_61":67,"_63":191},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_23":193,"_61":71,"_63":194},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_23":196,"_61":75,"_63":197},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_23":183,"_61":78,"_63":199},"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

",[203],{"_23":204,"_37":205,"_39":206,"_130":131,"_132":207,"_103":208,"_105":208,"_25":209,"_107":206},"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",{"_135":210,"_137":138,"_139":211},4,12302,{"_19":213,"_21":22,"_23":214,"_57":215,"_80":227,"_82":228,"_31":229},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[216,219,222,224],{"_23":217,"_61":62,"_63":218},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_23":220,"_61":67,"_63":221},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_23":213,"_61":71,"_63":223},"

Verdadeiro, falso, verdadeiro

",{"_23":225,"_61":75,"_63":226},"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????",[203],[203,252,261,267,271,272,273,281,286,294,295,300,306],{"_23":253,"_37":254,"_39":255,"_130":131,"_132":256,"_103":147,"_105":147,"_25":257,"_107":260},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_135":258,"_137":138,"_139":259},5,30614,"engenharia-mecatronica-1",{"_23":262,"_37":38,"_39":40,"_130":131,"_132":263,"_103":264,"_105":264,"_25":265,"_107":266},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_135":138,"_137":138,"_139":157},"resistencia-dos-materiais-6",{"_23":263,"_37":145,"_39":146,"_130":131,"_132":253,"_103":208,"_105":208,"_25":268,"_107":270},{"_135":258,"_137":138,"_139":269},25741,"mecanica-3",{"_23":127,"_37":128,"_39":129,"_130":131,"_132":-5,"_103":133,"_105":133,"_25":134,"_107":129},{"_23":154,"_37":38,"_39":40,"_130":131,"_132":144,"_103":155,"_105":155,"_25":156,"_107":158},{"_23":274,"_37":275,"_39":276,"_130":131,"_132":256,"_103":147,"_105":147,"_25":277,"_107":280},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_135":278,"_137":138,"_139":279},21,45865,"engenharia-civil-3",{"_23":207,"_37":282,"_39":283,"_130":131,"_132":256,"_103":147,"_105":147,"_25":284,"_107":285},"Engenharia de Petróleo","engenharia-de-petroleo",{"_135":258,"_137":138,"_139":211},"engenharia-de-petroleo-1",{"_23":287,"_37":288,"_39":289,"_130":131,"_132":274,"_103":290,"_105":290,"_25":291,"_107":293},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_135":258,"_137":138,"_139":292},8852,"estruturas-1",{"_23":144,"_37":145,"_39":146,"_130":131,"_132":127,"_103":147,"_105":147,"_25":148,"_107":151},{"_23":296,"_37":38,"_39":40,"_130":131,"_132":204,"_103":297,"_105":297,"_25":298,"_107":299},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_135":138,"_137":138,"_139":157},"resistencia-dos-materiais-7",{"_23":301,"_37":302,"_39":40,"_130":131,"_132":287,"_103":303,"_105":303,"_25":304,"_107":305},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_135":138,"_137":138,"_139":157},"resistencia-dos-materiais-5",{"_23":256,"_37":307,"_39":308,"_130":131,"_132":-5,"_103":309,"_105":309,"_25":310,"_107":308},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_135":164,"_137":138,"_139":311},351586,"tagsTree",[126,314],{"_23":256,"_37":307,"_39":308,"_130":131,"_132":-5,"_103":309,"_105":309,"_25":310,"_107":308,"_141":315},[316,322,328],{"_23":253,"_37":254,"_39":255,"_130":131,"_132":256,"_103":147,"_105":147,"_25":257,"_107":260,"_141":317},[318],{"_23":263,"_37":145,"_39":146,"_130":131,"_132":253,"_103":208,"_105":208,"_25":268,"_107":270,"_141":319},[320],{"_23":262,"_37":38,"_39":40,"_130":131,"_132":263,"_103":264,"_105":264,"_25":265,"_107":266,"_141":321},[],{"_23":274,"_37":275,"_39":276,"_130":131,"_132":256,"_103":147,"_105":147,"_25":277,"_107":280,"_141":323},[324],{"_23":287,"_37":288,"_39":289,"_130":131,"_132":274,"_103":290,"_105":290,"_25":291,"_107":293,"_141":325},[326],{"_23":301,"_37":302,"_39":40,"_130":131,"_132":287,"_103":303,"_105":303,"_25":304,"_107":305,"_141":327},[],{"_23":207,"_37":282,"_39":283,"_130":131,"_132":256,"_103":147,"_105":147,"_25":284,"_107":285,"_141":329},[330],{"_23":204,"_37":205,"_39":206,"_130":131,"_132":207,"_103":208,"_105":208,"_25":209,"_107":206,"_141":331},[332],{"_23":296,"_37":38,"_39":40,"_130":131,"_132":204,"_103":297,"_105":297,"_25":298,"_107":299,"_141":333},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários