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Quais são os ensaios físicos padronizados pelos quais os óleos lubrificantes passam antes de serem colocados à venda pelo fabricante?

","status","pending_classification","hasRelatedVideo","relatedVideos",[190],{"_191":192,"_210":211,"_51":226,"_259":260,"_277":278},"content",{"_43":193,"_55":194,"_195":-5,"_196":197,"_198":199,"_200":-5,"_45":201,"_204":205,"_206":205,"_207":-5,"_208":209},"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",{"_202":203},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_212":213,"_219":220,"_221":222,"_223":224,"_28":225},"provider",{"_43":214,"_215":216,"_217":218},"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",[227],{"_43":228,"_55":229,"_57":230,"_231":232,"_233":-5,"_204":234,"_206":234,"_45":235,"_208":230,"_242":243},"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",{"_236":237,"_238":239,"_240":241},"childrenCount",18,"content_count",0,"question_count",135489,"children",[244],{"_43":245,"_55":64,"_57":65,"_231":232,"_233":228,"_204":246,"_206":246,"_45":247,"_208":250,"_242":251},"ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T02:19:12.828432+00:00",{"_236":248,"_238":239,"_240":249},10,19948,"mecanica-2",[252],{"_43":253,"_55":136,"_57":137,"_231":232,"_233":245,"_204":254,"_206":254,"_45":255,"_208":257,"_242":258},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_236":239,"_238":239,"_240":256},3376,"resistencia-dos-materiais-4",[],"video",{"_43":199,"_13":194,"_195":-5,"_261":262,"_263":264,"_28":-5,"_265":-5,"_212":264,"_266":267,"_223":-5,"_268":-5,"_269":-5,"_270":-5,"_271":-5,"_45":272,"_273":239,"_274":-5,"_185":275,"_204":276,"_206":276},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_202":203},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_43":228,"_55":229,"_57":230,"_231":232,"_233":-5,"_204":234,"_206":234,"_45":279,"_208":230,"_242":280},{"_236":237,"_238":239,"_240":241},[281],{"_43":245,"_55":64,"_57":65,"_231":232,"_233":228,"_204":246,"_206":246,"_45":282,"_208":250,"_242":283},{"_236":248,"_238":239,"_240":249},[284],{"_43":253,"_55":136,"_57":137,"_231":232,"_233":245,"_204":254,"_206":254,"_45":285,"_208":257,"_242":286},{"_236":239,"_238":239,"_240":256},[],"similarQuestions",[289,319,339],{"_40":290,"_42":41,"_43":291,"_158":292,"_182":307,"_183":308,"_51":309},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[293,296,299,302,305],{"_43":294,"_162":163,"_164":295},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":297,"_162":168,"_164":298},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":300,"_162":172,"_164":301},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":303,"_162":176,"_164":304},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":290,"_162":180,"_164":306},"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

",[310],{"_43":311,"_55":312,"_57":313,"_231":232,"_233":314,"_204":315,"_206":315,"_45":316,"_208":313},"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",{"_236":317,"_238":239,"_240":318},4,12302,{"_40":320,"_42":41,"_43":321,"_158":322,"_182":334,"_183":335,"_51":336},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[323,326,329,331],{"_43":324,"_162":163,"_164":325},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":327,"_162":168,"_164":328},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":320,"_162":172,"_164":330},"

Verdadeiro, falso, verdadeiro

",{"_43":332,"_162":176,"_164":333},"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????",[360],{"_43":311,"_55":312,"_57":313,"_231":232,"_233":314,"_204":315,"_206":315,"_45":361,"_208":313},{"_236":317,"_238":239,"_240":318},[363,365,374,380,384,386,388,396,401,409,411,416,422],{"_43":311,"_55":312,"_57":313,"_231":232,"_233":314,"_204":315,"_206":315,"_45":364,"_208":313},{"_236":317,"_238":239,"_240":318},{"_43":366,"_55":367,"_57":368,"_231":232,"_233":369,"_204":246,"_206":246,"_45":370,"_208":373},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_236":371,"_238":239,"_240":372},5,30614,"engenharia-mecatronica-1",{"_43":375,"_55":136,"_57":137,"_231":232,"_233":376,"_204":377,"_206":377,"_45":378,"_208":379},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_236":239,"_238":239,"_240":256},"resistencia-dos-materiais-6",{"_43":376,"_55":64,"_57":65,"_231":232,"_233":366,"_204":315,"_206":315,"_45":381,"_208":383},{"_236":371,"_238":239,"_240":382},25741,"mecanica-3",{"_43":228,"_55":229,"_57":230,"_231":232,"_233":-5,"_204":234,"_206":234,"_45":385,"_208":230},{"_236":237,"_238":239,"_240":241},{"_43":253,"_55":136,"_57":137,"_231":232,"_233":245,"_204":254,"_206":254,"_45":387,"_208":257},{"_236":239,"_238":239,"_240":256},{"_43":389,"_55":390,"_57":391,"_231":232,"_233":369,"_204":246,"_206":246,"_45":392,"_208":395},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_236":393,"_238":239,"_240":394},21,45865,"engenharia-civil-3",{"_43":314,"_55":397,"_57":398,"_231":232,"_233":369,"_204":246,"_206":246,"_45":399,"_208":400},"Engenharia de Petróleo","engenharia-de-petroleo",{"_236":371,"_238":239,"_240":318},"engenharia-de-petroleo-1",{"_43":402,"_55":403,"_57":404,"_231":232,"_233":389,"_204":405,"_206":405,"_45":406,"_208":408},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_236":371,"_238":239,"_240":407},8852,"estruturas-1",{"_43":245,"_55":64,"_57":65,"_231":232,"_233":228,"_204":246,"_206":246,"_45":410,"_208":250},{"_236":248,"_238":239,"_240":249},{"_43":412,"_55":136,"_57":137,"_231":232,"_233":311,"_204":413,"_206":413,"_45":414,"_208":415},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_236":239,"_238":239,"_240":256},"resistencia-dos-materiais-7",{"_43":417,"_55":418,"_57":137,"_231":232,"_233":402,"_204":419,"_206":419,"_45":420,"_208":421},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_236":239,"_238":239,"_240":256},"resistencia-dos-materiais-5",{"_43":369,"_55":140,"_57":141,"_231":232,"_233":-5,"_204":423,"_206":423,"_45":424,"_208":141},"2025-04-29T01:55:38.635246+00:00",{"_236":425,"_238":239,"_240":426},29,351586,"tagsTree",[429,438],{"_43":228,"_55":229,"_57":230,"_231":232,"_233":-5,"_204":234,"_206":234,"_45":430,"_208":230,"_242":431},{"_236":237,"_238":239,"_240":241},[432],{"_43":245,"_55":64,"_57":65,"_231":232,"_233":228,"_204":246,"_206":246,"_45":433,"_208":250,"_242":434},{"_236":248,"_238":239,"_240":249},[435],{"_43":253,"_55":136,"_57":137,"_231":232,"_233":245,"_204":254,"_206":254,"_45":436,"_208":257,"_242":437},{"_236":239,"_238":239,"_240":256},[],{"_43":369,"_55":140,"_57":141,"_231":232,"_233":-5,"_204":423,"_206":423,"_45":439,"_208":141,"_242":440},{"_236":425,"_238":239,"_240":426},[441,450,459],{"_43":366,"_55":367,"_57":368,"_231":232,"_233":369,"_204":246,"_206":246,"_45":442,"_208":373,"_242":443},{"_236":371,"_238":239,"_240":372},[444],{"_43":376,"_55":64,"_57":65,"_231":232,"_233":366,"_204":315,"_206":315,"_45":445,"_208":383,"_242":446},{"_236":371,"_238":239,"_240":382},[447],{"_43":375,"_55":136,"_57":137,"_231":232,"_233":376,"_204":377,"_206":377,"_45":448,"_208":379,"_242":449},{"_236":239,"_238":239,"_240":256},[],{"_43":389,"_55":390,"_57":391,"_231":232,"_233":369,"_204":246,"_206":246,"_45":451,"_208":395,"_242":452},{"_236":393,"_238":239,"_240":394},[453],{"_43":402,"_55":403,"_57":404,"_231":232,"_233":389,"_204":405,"_206":405,"_45":454,"_208":408,"_242":455},{"_236":371,"_238":239,"_240":407},[456],{"_43":417,"_55":418,"_57":137,"_231":232,"_233":402,"_204":419,"_206":419,"_45":457,"_208":421,"_242":458},{"_236":239,"_238":239,"_240":256},[],{"_43":314,"_55":397,"_57":398,"_231":232,"_233":369,"_204":246,"_206":246,"_45":460,"_208":400,"_242":461},{"_236":371,"_238":239,"_240":318},[462],{"_43":311,"_55":312,"_57":313,"_231":232,"_233":314,"_204":315,"_206":315,"_45":463,"_208":313,"_242":464},{"_236":317,"_238":239,"_240":318},[465],{"_43":412,"_55":136,"_57":137,"_231":232,"_233":311,"_204":413,"_206":413,"_45":466,"_208":415,"_242":467},{"_236":239,"_238":239,"_240":256},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários