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Materiais aglomerantes, pequenos agregados e água

",{"_22":213,"_208":214,"_210":215},"d247b1e5-c99c-454b-b462-e8091b41b022","B","

Materiais inertes, grandes agregados e água

",{"_22":217,"_208":218,"_210":219},"4268170f-6354-4713-9617-5a90872f16d4","C","

Materiais aglomerantes, grandes agregados e água

",{"_22":221,"_208":222,"_210":223},"21a8ee78-eb51-4dd2-bd02-489d2ba9ea99","D","

Materiais inertes, pequenos agregados e água

","solution_explanation","statement","

Quais são os principais componentes de uma argamassa?

","status","pending_classification","hasRelatedVideo","relatedVideos",[232],{"_233":234,"_252":253,"_30":268,"_303":304,"_322":323},"content",{"_22":235,"_34":236,"_237":-5,"_238":239,"_240":241,"_242":-5,"_24":243,"_246":247,"_248":247,"_249":-5,"_250":251},"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",{"_244":245},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_254":255,"_261":262,"_263":264,"_265":266,"_6":267},"provider",{"_22":256,"_257":258,"_259":260},"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",[269],{"_22":270,"_34":271,"_36":272,"_273":274,"_275":-5,"_246":276,"_248":276,"_24":277,"_250":272,"_284":285},"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",{"_278":279,"_280":281,"_282":283},"childrenCount",18,"content_count",0,"question_count",135489,"children",[286],{"_22":287,"_34":288,"_36":289,"_273":274,"_275":270,"_246":290,"_248":290,"_24":291,"_250":294,"_284":295},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_278":292,"_280":281,"_282":293},10,19948,"mecanica-2",[296],{"_22":297,"_34":183,"_36":184,"_273":274,"_275":287,"_246":298,"_248":298,"_24":299,"_250":301,"_284":302},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_278":281,"_280":281,"_282":300},3376,"resistencia-dos-materiais-4",[],"video",{"_22":241,"_305":236,"_237":-5,"_306":307,"_308":309,"_6":-5,"_310":-5,"_254":309,"_311":312,"_265":-5,"_313":-5,"_314":-5,"_315":-5,"_316":-5,"_24":317,"_318":281,"_319":-5,"_227":320,"_246":321,"_248":321},"title","duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_244":245},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_22":270,"_34":271,"_36":272,"_273":274,"_275":-5,"_246":276,"_248":276,"_24":324,"_250":272,"_284":325},{"_278":279,"_280":281,"_282":283},[326],{"_22":287,"_34":288,"_36":289,"_273":274,"_275":270,"_246":290,"_248":290,"_24":327,"_250":294,"_284":328},{"_278":292,"_280":281,"_282":293},[329],{"_22":297,"_34":183,"_36":184,"_273":274,"_275":287,"_246":298,"_248":298,"_24":330,"_250":301,"_284":331},{"_278":281,"_280":281,"_282":300},[],"similarQuestions",[334,365,385],{"_18":335,"_20":21,"_22":336,"_205":337,"_224":353,"_225":354,"_30":355},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[338,341,344,347,350],{"_22":339,"_208":209,"_210":340},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_22":342,"_208":214,"_210":343},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_22":345,"_208":218,"_210":346},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_22":348,"_208":222,"_210":349},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_22":335,"_208":351,"_210":352},"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

",[356],{"_22":357,"_34":358,"_36":359,"_273":274,"_275":360,"_246":361,"_248":361,"_24":362,"_250":359},"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",{"_278":363,"_280":281,"_282":364},4,12302,{"_18":366,"_20":21,"_22":367,"_205":368,"_224":380,"_225":381,"_30":382},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[369,372,375,377],{"_22":370,"_208":209,"_210":371},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_22":373,"_208":214,"_210":374},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_22":366,"_208":218,"_210":376},"

Verdadeiro, falso, verdadeiro

",{"_22":378,"_208":222,"_210":379},"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????",[406],{"_22":357,"_34":358,"_36":359,"_273":274,"_275":360,"_246":361,"_248":361,"_24":407,"_250":359},{"_278":363,"_280":281,"_282":364},[409,411,420,426,430,432,434,440,445,453,455,460,466],{"_22":357,"_34":358,"_36":359,"_273":274,"_275":360,"_246":361,"_248":361,"_24":410,"_250":359},{"_278":363,"_280":281,"_282":364},{"_22":412,"_34":413,"_36":414,"_273":274,"_275":415,"_246":290,"_248":290,"_24":416,"_250":419},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_278":417,"_280":281,"_282":418},5,30614,"engenharia-mecatronica-1",{"_22":421,"_34":183,"_36":184,"_273":274,"_275":422,"_246":423,"_248":423,"_24":424,"_250":425},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_278":281,"_280":281,"_282":300},"resistencia-dos-materiais-6",{"_22":422,"_34":288,"_36":289,"_273":274,"_275":412,"_246":361,"_248":361,"_24":427,"_250":429},{"_278":417,"_280":281,"_282":428},25741,"mecanica-3",{"_22":270,"_34":271,"_36":272,"_273":274,"_275":-5,"_246":276,"_248":276,"_24":431,"_250":272},{"_278":279,"_280":281,"_282":283},{"_22":297,"_34":183,"_36":184,"_273":274,"_275":287,"_246":298,"_248":298,"_24":433,"_250":301},{"_278":281,"_280":281,"_282":300},{"_22":435,"_34":176,"_36":177,"_273":274,"_275":415,"_246":290,"_248":290,"_24":436,"_250":439},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331",{"_278":437,"_280":281,"_282":438},21,45865,"engenharia-civil-3",{"_22":360,"_34":441,"_36":442,"_273":274,"_275":415,"_246":290,"_248":290,"_24":443,"_250":444},"Engenharia de Petróleo","engenharia-de-petroleo",{"_278":417,"_280":281,"_282":364},"engenharia-de-petroleo-1",{"_22":446,"_34":447,"_36":448,"_273":274,"_275":435,"_246":449,"_248":449,"_24":450,"_250":452},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_278":417,"_280":281,"_282":451},8852,"estruturas-1",{"_22":287,"_34":288,"_36":289,"_273":274,"_275":270,"_246":290,"_248":290,"_24":454,"_250":294},{"_278":292,"_280":281,"_282":293},{"_22":456,"_34":183,"_36":184,"_273":274,"_275":357,"_246":457,"_248":457,"_24":458,"_250":459},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_278":281,"_280":281,"_282":300},"resistencia-dos-materiais-7",{"_22":461,"_34":462,"_36":184,"_273":274,"_275":446,"_246":463,"_248":463,"_24":464,"_250":465},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_278":281,"_280":281,"_282":300},"resistencia-dos-materiais-5",{"_22":415,"_34":62,"_36":63,"_273":274,"_275":-5,"_246":467,"_248":467,"_24":468,"_250":63},"2025-04-29T01:55:38.635246+00:00",{"_278":469,"_280":281,"_282":470},29,351586,"tagsTree",[473,482],{"_22":270,"_34":271,"_36":272,"_273":274,"_275":-5,"_246":276,"_248":276,"_24":474,"_250":272,"_284":475},{"_278":279,"_280":281,"_282":283},[476],{"_22":287,"_34":288,"_36":289,"_273":274,"_275":270,"_246":290,"_248":290,"_24":477,"_250":294,"_284":478},{"_278":292,"_280":281,"_282":293},[479],{"_22":297,"_34":183,"_36":184,"_273":274,"_275":287,"_246":298,"_248":298,"_24":480,"_250":301,"_284":481},{"_278":281,"_280":281,"_282":300},[],{"_22":415,"_34":62,"_36":63,"_273":274,"_275":-5,"_246":467,"_248":467,"_24":483,"_250":63,"_284":484},{"_278":469,"_280":281,"_282":470},[485,494,503],{"_22":412,"_34":413,"_36":414,"_273":274,"_275":415,"_246":290,"_248":290,"_24":486,"_250":419,"_284":487},{"_278":417,"_280":281,"_282":418},[488],{"_22":422,"_34":288,"_36":289,"_273":274,"_275":412,"_246":361,"_248":361,"_24":489,"_250":429,"_284":490},{"_278":417,"_280":281,"_282":428},[491],{"_22":421,"_34":183,"_36":184,"_273":274,"_275":422,"_246":423,"_248":423,"_24":492,"_250":425,"_284":493},{"_278":281,"_280":281,"_282":300},[],{"_22":435,"_34":176,"_36":177,"_273":274,"_275":415,"_246":290,"_248":290,"_24":495,"_250":439,"_284":496},{"_278":437,"_280":281,"_282":438},[497],{"_22":446,"_34":447,"_36":448,"_273":274,"_275":435,"_246":449,"_248":449,"_24":498,"_250":452,"_284":499},{"_278":417,"_280":281,"_282":451},[500],{"_22":461,"_34":462,"_36":184,"_273":274,"_275":446,"_246":463,"_248":463,"_24":501,"_250":465,"_284":502},{"_278":281,"_280":281,"_282":300},[],{"_22":360,"_34":441,"_36":442,"_273":274,"_275":415,"_246":290,"_248":290,"_24":504,"_250":444,"_284":505},{"_278":417,"_280":281,"_282":364},[506],{"_22":357,"_34":358,"_36":359,"_273":274,"_275":360,"_246":361,"_248":361,"_24":507,"_250":359,"_284":508},{"_278":363,"_280":281,"_282":364},[509],{"_22":456,"_34":183,"_36":184,"_273":274,"_275":357,"_246":457,"_248":457,"_24":510,"_250":459,"_284":511},{"_278":281,"_280":281,"_282":300},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários