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Mecanismos de proteção, entrada e processamento.

",{"_44":41,"_81":86,"_83":87},"B","

Mecanismos de entrada, processamento, memória e saída.

",{"_44":89,"_81":90,"_83":91},"7bc0e69d-d892-4c2a-9e56-dd5f447e0f67","C","

Mecanismos de memória, proteção, rede e saída.

","solution_explanation","statement","

Mencione a estrutura geral compartilhada por todos os tipos de computadores:

","status","pending_classification","hasRelatedVideo","relatedVideos",[100],{"_101":102,"_120":121,"_51":136,"_171":172,"_189":137},"content",{"_44":103,"_57":104,"_105":-5,"_106":107,"_108":109,"_110":-5,"_46":111,"_114":115,"_116":115,"_117":-5,"_118":119},"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",{"_112":113},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_122":123,"_129":130,"_131":132,"_133":134,"_28":135},"provider",{"_44":124,"_125":126,"_127":128},"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",[137],{"_44":138,"_57":139,"_59":140,"_141":142,"_143":-5,"_114":144,"_116":144,"_46":145,"_118":140,"_152":153},"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",{"_146":147,"_148":149,"_150":151},"childrenCount",18,"content_count",0,"question_count",135489,"children",[154],{"_44":155,"_57":156,"_59":157,"_141":142,"_143":138,"_114":158,"_116":158,"_46":159,"_118":162,"_152":163},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_146":160,"_148":149,"_150":161},10,19948,"mecanica-2",[164],{"_44":165,"_57":58,"_59":60,"_141":142,"_143":155,"_114":166,"_116":166,"_46":167,"_118":169,"_152":170},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_146":149,"_148":149,"_150":168},3376,"resistencia-dos-materiais-4",[],"video",{"_44":109,"_13":104,"_105":-5,"_173":174,"_175":176,"_28":-5,"_177":-5,"_122":176,"_178":179,"_133":-5,"_180":-5,"_181":-5,"_182":-5,"_183":-5,"_46":184,"_185":149,"_186":-5,"_95":187,"_114":188,"_116":188},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_112":113},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[192,224,242],{"_40":193,"_42":43,"_44":194,"_77":195,"_92":212,"_93":213,"_51":214},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[196,199,202,205,209],{"_44":197,"_81":82,"_83":198},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":200,"_81":86,"_83":201},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":203,"_81":90,"_83":204},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_44":206,"_81":207,"_83":208},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_44":193,"_81":210,"_83":211},"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

",[215],{"_44":216,"_57":217,"_59":218,"_141":142,"_143":219,"_114":220,"_116":220,"_46":221,"_118":218},"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",{"_146":222,"_148":149,"_150":223},4,12302,{"_40":225,"_42":43,"_44":226,"_77":227,"_92":239,"_93":240,"_51":241},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[228,231,234,236],{"_44":229,"_81":82,"_83":230},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":232,"_81":86,"_83":233},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":225,"_81":90,"_83":235},"

Verdadeiro, falso, verdadeiro

",{"_44":237,"_81":207,"_83":238},"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?

",[215],{"_40":243,"_42":43,"_44":244,"_77":245,"_92":260,"_93":261,"_51":262},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[246,249,252,254,257],{"_44":247,"_81":82,"_83":248},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":250,"_81":86,"_83":251},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":243,"_81":90,"_83":253},"Indeterminado",{"_44":255,"_81":207,"_83":256},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":258,"_81":210,"_83":259},"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????",[215],[215,264,273,279,283,284,285,293,298,306,307,312,318],{"_44":265,"_57":266,"_59":267,"_141":142,"_143":268,"_114":158,"_116":158,"_46":269,"_118":272},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_146":270,"_148":149,"_150":271},5,30614,"engenharia-mecatronica-1",{"_44":274,"_57":58,"_59":60,"_141":142,"_143":275,"_114":276,"_116":276,"_46":277,"_118":278},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_146":149,"_148":149,"_150":168},"resistencia-dos-materiais-6",{"_44":275,"_57":156,"_59":157,"_141":142,"_143":265,"_114":220,"_116":220,"_46":280,"_118":282},{"_146":270,"_148":149,"_150":281},25741,"mecanica-3",{"_44":138,"_57":139,"_59":140,"_141":142,"_143":-5,"_114":144,"_116":144,"_46":145,"_118":140},{"_44":165,"_57":58,"_59":60,"_141":142,"_143":155,"_114":166,"_116":166,"_46":167,"_118":169},{"_44":286,"_57":287,"_59":288,"_141":142,"_143":268,"_114":158,"_116":158,"_46":289,"_118":292},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_146":290,"_148":149,"_150":291},21,45865,"engenharia-civil-3",{"_44":219,"_57":294,"_59":295,"_141":142,"_143":268,"_114":158,"_116":158,"_46":296,"_118":297},"Engenharia de Petróleo","engenharia-de-petroleo",{"_146":270,"_148":149,"_150":223},"engenharia-de-petroleo-1",{"_44":299,"_57":300,"_59":301,"_141":142,"_143":286,"_114":302,"_116":302,"_46":303,"_118":305},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_146":270,"_148":149,"_150":304},8852,"estruturas-1",{"_44":155,"_57":156,"_59":157,"_141":142,"_143":138,"_114":158,"_116":158,"_46":159,"_118":162},{"_44":308,"_57":58,"_59":60,"_141":142,"_143":216,"_114":309,"_116":309,"_46":310,"_118":311},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_146":149,"_148":149,"_150":168},"resistencia-dos-materiais-7",{"_44":313,"_57":314,"_59":60,"_141":142,"_143":299,"_114":315,"_116":315,"_46":316,"_118":317},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_146":149,"_148":149,"_150":168},"resistencia-dos-materiais-5",{"_44":268,"_57":319,"_59":320,"_141":142,"_143":-5,"_114":321,"_116":321,"_46":322,"_118":320},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_146":323,"_148":149,"_150":324},29,351586,"tagsTree",[137,327],{"_44":268,"_57":319,"_59":320,"_141":142,"_143":-5,"_114":321,"_116":321,"_46":322,"_118":320,"_152":328},[329,335,341],{"_44":265,"_57":266,"_59":267,"_141":142,"_143":268,"_114":158,"_116":158,"_46":269,"_118":272,"_152":330},[331],{"_44":275,"_57":156,"_59":157,"_141":142,"_143":265,"_114":220,"_116":220,"_46":280,"_118":282,"_152":332},[333],{"_44":274,"_57":58,"_59":60,"_141":142,"_143":275,"_114":276,"_116":276,"_46":277,"_118":278,"_152":334},[],{"_44":286,"_57":287,"_59":288,"_141":142,"_143":268,"_114":158,"_116":158,"_46":289,"_118":292,"_152":336},[337],{"_44":299,"_57":300,"_59":301,"_141":142,"_143":286,"_114":302,"_116":302,"_46":303,"_118":305,"_152":338},[339],{"_44":313,"_57":314,"_59":60,"_141":142,"_143":299,"_114":315,"_116":315,"_46":316,"_118":317,"_152":340},[],{"_44":219,"_57":294,"_59":295,"_141":142,"_143":268,"_114":158,"_116":158,"_46":296,"_118":297,"_152":342},[343],{"_44":216,"_57":217,"_59":218,"_141":142,"_143":219,"_114":220,"_116":220,"_46":221,"_118":218,"_152":344},[345],{"_44":308,"_57":58,"_59":60,"_141":142,"_143":216,"_114":309,"_116":309,"_46":310,"_118":311,"_152":346},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários