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Sobre programas aplicativos e termos usados na Internet, correlacione as colunas abaixo. Marque a sequência correta de cima para baixo.

","status","published","hasRelatedVideo","relatedVideos",[99],{"_100":101,"_119":120,"_31":135,"_170":171,"_189":136},"content",{"_23":102,"_37":103,"_104":-5,"_105":106,"_107":108,"_109":-5,"_25":110,"_113":114,"_115":114,"_116":-5,"_117":118},"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",{"_111":112},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_121":122,"_128":129,"_130":131,"_132":133,"_6":134},"provider",{"_23":123,"_124":125,"_126":127},"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",[136],{"_23":137,"_37":138,"_39":139,"_140":141,"_142":-5,"_113":143,"_115":143,"_25":144,"_117":139,"_151":152},"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",{"_145":146,"_147":148,"_149":150},"childrenCount",18,"content_count",0,"question_count",135489,"children",[153],{"_23":154,"_37":155,"_39":156,"_140":141,"_142":137,"_113":157,"_115":157,"_25":158,"_117":161,"_151":162},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_145":159,"_147":148,"_149":160},10,19948,"mecanica-2",[163],{"_23":164,"_37":38,"_39":40,"_140":141,"_142":154,"_113":165,"_115":165,"_25":166,"_117":168,"_151":169},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_145":148,"_147":148,"_149":167},3376,"resistencia-dos-materiais-4",[],"video",{"_23":108,"_172":103,"_104":-5,"_173":174,"_175":176,"_6":-5,"_177":-5,"_121":176,"_178":179,"_132":-5,"_180":-5,"_181":-5,"_182":-5,"_183":-5,"_25":184,"_185":148,"_186":-5,"_94":187,"_113":188,"_115":188},"title","duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_111":112},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[192,223,241],{"_19":193,"_21":22,"_23":194,"_71":195,"_90":211,"_92":212,"_31":213},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[196,199,202,205,208],{"_23":197,"_75":76,"_77":198},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_23":200,"_75":80,"_77":201},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_23":203,"_75":84,"_77":204},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_23":206,"_75":88,"_77":207},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_23":193,"_75":209,"_77":210},"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

",[214],{"_23":215,"_37":216,"_39":217,"_140":141,"_142":218,"_113":219,"_115":219,"_25":220,"_117":217},"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",{"_145":221,"_147":148,"_149":222},4,12302,{"_19":224,"_21":22,"_23":225,"_71":226,"_90":238,"_92":239,"_31":240},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[227,230,233,235],{"_23":228,"_75":76,"_77":229},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_23":231,"_75":80,"_77":232},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_23":224,"_75":84,"_77":234},"

Verdadeiro, falso, verdadeiro

",{"_23":236,"_75":88,"_77":237},"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?

",[214],{"_19":242,"_21":22,"_23":243,"_71":244,"_90":259,"_92":260,"_31":261},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[245,248,251,253,256],{"_23":246,"_75":76,"_77":247},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_23":249,"_75":80,"_77":250},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_23":242,"_75":84,"_77":252},"Indeterminado",{"_23":254,"_75":88,"_77":255},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_23":257,"_75":209,"_77":258},"2e06d948-d37e-4350-afc7-ced04941bcaf","Nenhum","Os polinômios e números fornecidos estão corrompidos (símbolos “????”), impossibilitando aplicar Ruffini e concluir se são raízes. Sem dados completos, o problema é indeterminado.","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????",[214],[214,263,272,278,282,283,284,292,297,305,306,311,317],{"_23":264,"_37":265,"_39":266,"_140":141,"_142":267,"_113":157,"_115":157,"_25":268,"_117":271},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_145":269,"_147":148,"_149":270},5,30614,"engenharia-mecatronica-1",{"_23":273,"_37":38,"_39":40,"_140":141,"_142":274,"_113":275,"_115":275,"_25":276,"_117":277},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_145":148,"_147":148,"_149":167},"resistencia-dos-materiais-6",{"_23":274,"_37":155,"_39":156,"_140":141,"_142":264,"_113":219,"_115":219,"_25":279,"_117":281},{"_145":269,"_147":148,"_149":280},25741,"mecanica-3",{"_23":137,"_37":138,"_39":139,"_140":141,"_142":-5,"_113":143,"_115":143,"_25":144,"_117":139},{"_23":164,"_37":38,"_39":40,"_140":141,"_142":154,"_113":165,"_115":165,"_25":166,"_117":168},{"_23":285,"_37":286,"_39":287,"_140":141,"_142":267,"_113":157,"_115":157,"_25":288,"_117":291},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_145":289,"_147":148,"_149":290},21,45865,"engenharia-civil-3",{"_23":218,"_37":293,"_39":294,"_140":141,"_142":267,"_113":157,"_115":157,"_25":295,"_117":296},"Engenharia de Petróleo","engenharia-de-petroleo",{"_145":269,"_147":148,"_149":222},"engenharia-de-petroleo-1",{"_23":298,"_37":299,"_39":300,"_140":141,"_142":285,"_113":301,"_115":301,"_25":302,"_117":304},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_145":269,"_147":148,"_149":303},8852,"estruturas-1",{"_23":154,"_37":155,"_39":156,"_140":141,"_142":137,"_113":157,"_115":157,"_25":158,"_117":161},{"_23":307,"_37":38,"_39":40,"_140":141,"_142":215,"_113":308,"_115":308,"_25":309,"_117":310},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_145":148,"_147":148,"_149":167},"resistencia-dos-materiais-7",{"_23":312,"_37":313,"_39":40,"_140":141,"_142":298,"_113":314,"_115":314,"_25":315,"_117":316},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_145":148,"_147":148,"_149":167},"resistencia-dos-materiais-5",{"_23":267,"_37":318,"_39":319,"_140":141,"_142":-5,"_113":320,"_115":320,"_25":321,"_117":319},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_145":322,"_147":148,"_149":323},29,351586,"tagsTree",[136,326],{"_23":267,"_37":318,"_39":319,"_140":141,"_142":-5,"_113":320,"_115":320,"_25":321,"_117":319,"_151":327},[328,334,340],{"_23":264,"_37":265,"_39":266,"_140":141,"_142":267,"_113":157,"_115":157,"_25":268,"_117":271,"_151":329},[330],{"_23":274,"_37":155,"_39":156,"_140":141,"_142":264,"_113":219,"_115":219,"_25":279,"_117":281,"_151":331},[332],{"_23":273,"_37":38,"_39":40,"_140":141,"_142":274,"_113":275,"_115":275,"_25":276,"_117":277,"_151":333},[],{"_23":285,"_37":286,"_39":287,"_140":141,"_142":267,"_113":157,"_115":157,"_25":288,"_117":291,"_151":335},[336],{"_23":298,"_37":299,"_39":300,"_140":141,"_142":285,"_113":301,"_115":301,"_25":302,"_117":304,"_151":337},[338],{"_23":312,"_37":313,"_39":40,"_140":141,"_142":298,"_113":314,"_115":314,"_25":315,"_117":316,"_151":339},[],{"_23":218,"_37":293,"_39":294,"_140":141,"_142":267,"_113":157,"_115":157,"_25":295,"_117":296,"_151":341},[342],{"_23":215,"_37":216,"_39":217,"_140":141,"_142":218,"_113":219,"_115":219,"_25":220,"_117":217,"_151":343},[344],{"_23":307,"_37":38,"_39":40,"_140":141,"_142":215,"_113":308,"_115":308,"_25":309,"_117":310,"_151":345},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários