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Qual é o propósito do livro 'Mec Solos dos Estados Críticos'?

","status","pending_classification","hasRelatedVideo","relatedVideos",[253],{"_254":255,"_273":274,"_51":289,"_321":322,"_339":340},"content",{"_43":256,"_55":257,"_258":-5,"_259":260,"_261":262,"_263":-5,"_45":264,"_267":268,"_269":268,"_270":-5,"_271":272},"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",{"_265":266},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_275":276,"_282":283,"_284":285,"_286":287,"_28":288},"provider",{"_43":277,"_278":279,"_280":281},"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",[290],{"_43":291,"_55":292,"_57":72,"_293":294,"_295":-5,"_267":296,"_269":296,"_45":297,"_271":72,"_304":305},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","2025-04-29T01:56:45.284172+00:00",{"_298":299,"_300":301,"_302":303},"childrenCount",18,"content_count",0,"question_count",135489,"children",[306],{"_43":307,"_55":68,"_57":69,"_293":294,"_295":291,"_267":308,"_269":308,"_45":309,"_271":312,"_304":313},"ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T02:19:12.828432+00:00",{"_298":310,"_300":301,"_302":311},10,19948,"mecanica-2",[314],{"_43":315,"_55":205,"_57":206,"_293":294,"_295":307,"_267":316,"_269":316,"_45":317,"_271":319,"_304":320},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_298":301,"_300":301,"_302":318},3376,"resistencia-dos-materiais-4",[],"video",{"_43":262,"_13":257,"_258":-5,"_323":324,"_325":326,"_28":-5,"_327":-5,"_275":326,"_328":329,"_286":-5,"_330":-5,"_331":-5,"_332":-5,"_333":-5,"_45":334,"_335":301,"_336":-5,"_248":337,"_267":338,"_269":338},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_265":266},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_43":291,"_55":292,"_57":72,"_293":294,"_295":-5,"_267":296,"_269":296,"_45":341,"_271":72,"_304":342},{"_298":299,"_300":301,"_302":303},[343],{"_43":307,"_55":68,"_57":69,"_293":294,"_295":291,"_267":308,"_269":308,"_45":344,"_271":312,"_304":345},{"_298":310,"_300":301,"_302":311},[346],{"_43":315,"_55":205,"_57":206,"_293":294,"_295":307,"_267":316,"_269":316,"_45":347,"_271":319,"_304":348},{"_298":301,"_300":301,"_302":318},[],"similarQuestions",[351,382,402],{"_40":352,"_42":41,"_43":353,"_225":354,"_245":370,"_246":371,"_51":372},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[355,358,361,364,367],{"_43":356,"_229":230,"_231":357},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":359,"_229":235,"_231":360},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":362,"_229":239,"_231":363},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":365,"_229":243,"_231":366},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":352,"_229":368,"_231":369},"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

",[373],{"_43":374,"_55":375,"_57":376,"_293":294,"_295":377,"_267":378,"_269":378,"_45":379,"_271":376},"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",{"_298":380,"_300":301,"_302":381},4,12302,{"_40":383,"_42":41,"_43":384,"_225":385,"_245":397,"_246":398,"_51":399},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[386,389,392,394],{"_43":387,"_229":230,"_231":388},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":390,"_229":235,"_231":391},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":383,"_229":239,"_231":393},"

Verdadeiro, falso, verdadeiro

",{"_43":395,"_229":243,"_231":396},"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????",[423],{"_43":374,"_55":375,"_57":376,"_293":294,"_295":377,"_267":378,"_269":378,"_45":424,"_271":376},{"_298":380,"_300":301,"_302":381},[426,428,437,443,447,449,451,458,463,471,473,478,484],{"_43":374,"_55":375,"_57":376,"_293":294,"_295":377,"_267":378,"_269":378,"_45":427,"_271":376},{"_298":380,"_300":301,"_302":381},{"_43":429,"_55":430,"_57":431,"_293":294,"_295":432,"_267":308,"_269":308,"_45":433,"_271":436},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_298":434,"_300":301,"_302":435},5,30614,"engenharia-mecatronica-1",{"_43":438,"_55":205,"_57":206,"_293":294,"_295":439,"_267":440,"_269":440,"_45":441,"_271":442},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_298":301,"_300":301,"_302":318},"resistencia-dos-materiais-6",{"_43":439,"_55":68,"_57":69,"_293":294,"_295":429,"_267":378,"_269":378,"_45":444,"_271":446},{"_298":434,"_300":301,"_302":445},25741,"mecanica-3",{"_43":291,"_55":292,"_57":72,"_293":294,"_295":-5,"_267":296,"_269":296,"_45":448,"_271":72},{"_298":299,"_300":301,"_302":303},{"_43":315,"_55":205,"_57":206,"_293":294,"_295":307,"_267":316,"_269":316,"_45":450,"_271":319},{"_298":301,"_300":301,"_302":318},{"_43":452,"_55":453,"_57":106,"_293":294,"_295":432,"_267":308,"_269":308,"_45":454,"_271":457},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil",{"_298":455,"_300":301,"_302":456},21,45865,"engenharia-civil-3",{"_43":377,"_55":459,"_57":460,"_293":294,"_295":432,"_267":308,"_269":308,"_45":461,"_271":462},"Engenharia de Petróleo","engenharia-de-petroleo",{"_298":434,"_300":301,"_302":381},"engenharia-de-petroleo-1",{"_43":464,"_55":465,"_57":466,"_293":294,"_295":452,"_267":467,"_269":467,"_45":468,"_271":470},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_298":434,"_300":301,"_302":469},8852,"estruturas-1",{"_43":307,"_55":68,"_57":69,"_293":294,"_295":291,"_267":308,"_269":308,"_45":472,"_271":312},{"_298":310,"_300":301,"_302":311},{"_43":474,"_55":205,"_57":206,"_293":294,"_295":374,"_267":475,"_269":475,"_45":476,"_271":477},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_298":301,"_300":301,"_302":318},"resistencia-dos-materiais-7",{"_43":479,"_55":480,"_57":206,"_293":294,"_295":464,"_267":481,"_269":481,"_45":482,"_271":483},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_298":301,"_300":301,"_302":318},"resistencia-dos-materiais-5",{"_43":432,"_55":75,"_57":76,"_293":294,"_295":-5,"_267":485,"_269":485,"_45":486,"_271":76},"2025-04-29T01:55:38.635246+00:00",{"_298":487,"_300":301,"_302":488},29,351586,"tagsTree",[491,500],{"_43":291,"_55":292,"_57":72,"_293":294,"_295":-5,"_267":296,"_269":296,"_45":492,"_271":72,"_304":493},{"_298":299,"_300":301,"_302":303},[494],{"_43":307,"_55":68,"_57":69,"_293":294,"_295":291,"_267":308,"_269":308,"_45":495,"_271":312,"_304":496},{"_298":310,"_300":301,"_302":311},[497],{"_43":315,"_55":205,"_57":206,"_293":294,"_295":307,"_267":316,"_269":316,"_45":498,"_271":319,"_304":499},{"_298":301,"_300":301,"_302":318},[],{"_43":432,"_55":75,"_57":76,"_293":294,"_295":-5,"_267":485,"_269":485,"_45":501,"_271":76,"_304":502},{"_298":487,"_300":301,"_302":488},[503,512,521],{"_43":429,"_55":430,"_57":431,"_293":294,"_295":432,"_267":308,"_269":308,"_45":504,"_271":436,"_304":505},{"_298":434,"_300":301,"_302":435},[506],{"_43":439,"_55":68,"_57":69,"_293":294,"_295":429,"_267":378,"_269":378,"_45":507,"_271":446,"_304":508},{"_298":434,"_300":301,"_302":445},[509],{"_43":438,"_55":205,"_57":206,"_293":294,"_295":439,"_267":440,"_269":440,"_45":510,"_271":442,"_304":511},{"_298":301,"_300":301,"_302":318},[],{"_43":452,"_55":453,"_57":106,"_293":294,"_295":432,"_267":308,"_269":308,"_45":513,"_271":457,"_304":514},{"_298":455,"_300":301,"_302":456},[515],{"_43":464,"_55":465,"_57":466,"_293":294,"_295":452,"_267":467,"_269":467,"_45":516,"_271":470,"_304":517},{"_298":434,"_300":301,"_302":469},[518],{"_43":479,"_55":480,"_57":206,"_293":294,"_295":464,"_267":481,"_269":481,"_45":519,"_271":483,"_304":520},{"_298":301,"_300":301,"_302":318},[],{"_43":377,"_55":459,"_57":460,"_293":294,"_295":432,"_267":308,"_269":308,"_45":522,"_271":462,"_304":523},{"_298":434,"_300":301,"_302":381},[524],{"_43":374,"_55":375,"_57":376,"_293":294,"_295":377,"_267":378,"_269":378,"_45":525,"_271":376,"_304":526},{"_298":380,"_300":301,"_302":381},[527],{"_43":474,"_55":205,"_57":206,"_293":294,"_295":374,"_267":475,"_269":475,"_45":528,"_271":477,"_304":529},{"_298":301,"_300":301,"_302":318},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários