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En una granja cunícola que aplica un ciclo normal de 38 días, ¿cuál debería ser el valor mínimo de la prolificidad para obtener una buena productividad por hembra?

","status","pending_classification","hasRelatedVideo","relatedVideos",[117],{"_118":119,"_137":138,"_51":153,"_187":188,"_205":154},"content",{"_43":120,"_55":121,"_122":-5,"_123":124,"_125":126,"_127":-5,"_45":128,"_131":132,"_133":132,"_134":-5,"_135":136},"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",{"_129":130},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_139":140,"_146":147,"_148":149,"_150":151,"_28":152},"provider",{"_43":141,"_142":143,"_144":145},"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",[154],{"_43":155,"_55":156,"_57":157,"_158":159,"_160":-5,"_131":161,"_133":161,"_45":162,"_135":157,"_168":169},"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",{"_163":164,"_165":76,"_166":167},"childrenCount",18,"content_count","question_count",135489,"children",[170],{"_43":171,"_55":172,"_57":173,"_158":159,"_160":155,"_131":174,"_133":174,"_45":175,"_135":178,"_168":179},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_163":176,"_165":76,"_166":177},10,19948,"mecanica-2",[180],{"_43":181,"_55":71,"_57":72,"_158":159,"_160":171,"_131":182,"_133":182,"_45":183,"_135":185,"_168":186},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_163":76,"_165":76,"_166":184},3376,"resistencia-dos-materiais-4",[],"video",{"_43":126,"_13":121,"_122":-5,"_189":190,"_191":192,"_28":-5,"_193":-5,"_139":192,"_194":195,"_150":-5,"_196":-5,"_197":-5,"_198":-5,"_199":-5,"_45":200,"_201":76,"_202":-5,"_112":203,"_131":204,"_133":204},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_129":130},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[208,239,257],{"_40":209,"_42":41,"_43":210,"_89":211,"_109":227,"_110":228,"_51":229},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[212,215,218,221,224],{"_43":213,"_93":94,"_95":214},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":216,"_93":99,"_95":217},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":219,"_93":103,"_95":220},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":222,"_93":107,"_95":223},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":209,"_93":225,"_95":226},"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

",[230],{"_43":231,"_55":232,"_57":233,"_158":159,"_160":234,"_131":235,"_133":235,"_45":236,"_135":233},"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",{"_163":237,"_165":76,"_166":238},4,12302,{"_40":240,"_42":41,"_43":241,"_89":242,"_109":254,"_110":255,"_51":256},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[243,246,249,251],{"_43":244,"_93":94,"_95":245},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":247,"_93":99,"_95":248},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":240,"_93":103,"_95":250},"

Verdadeiro, falso, verdadeiro

",{"_43":252,"_93":107,"_95":253},"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????",[230],[230,279,288,294,298,299,300,308,313,321,322,327,333],{"_43":280,"_55":281,"_57":282,"_158":159,"_160":283,"_131":174,"_133":174,"_45":284,"_135":287},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_163":285,"_165":76,"_166":286},5,30614,"engenharia-mecatronica-1",{"_43":289,"_55":71,"_57":72,"_158":159,"_160":290,"_131":291,"_133":291,"_45":292,"_135":293},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_163":76,"_165":76,"_166":184},"resistencia-dos-materiais-6",{"_43":290,"_55":172,"_57":173,"_158":159,"_160":280,"_131":235,"_133":235,"_45":295,"_135":297},{"_163":285,"_165":76,"_166":296},25741,"mecanica-3",{"_43":155,"_55":156,"_57":157,"_158":159,"_160":-5,"_131":161,"_133":161,"_45":162,"_135":157},{"_43":181,"_55":71,"_57":72,"_158":159,"_160":171,"_131":182,"_133":182,"_45":183,"_135":185},{"_43":301,"_55":302,"_57":303,"_158":159,"_160":283,"_131":174,"_133":174,"_45":304,"_135":307},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_163":305,"_165":76,"_166":306},21,45865,"engenharia-civil-3",{"_43":234,"_55":309,"_57":310,"_158":159,"_160":283,"_131":174,"_133":174,"_45":311,"_135":312},"Engenharia de Petróleo","engenharia-de-petroleo",{"_163":285,"_165":76,"_166":238},"engenharia-de-petroleo-1",{"_43":314,"_55":315,"_57":316,"_158":159,"_160":301,"_131":317,"_133":317,"_45":318,"_135":320},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_163":285,"_165":76,"_166":319},8852,"estruturas-1",{"_43":171,"_55":172,"_57":173,"_158":159,"_160":155,"_131":174,"_133":174,"_45":175,"_135":178},{"_43":323,"_55":71,"_57":72,"_158":159,"_160":231,"_131":324,"_133":324,"_45":325,"_135":326},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_163":76,"_165":76,"_166":184},"resistencia-dos-materiais-7",{"_43":328,"_55":329,"_57":72,"_158":159,"_160":314,"_131":330,"_133":330,"_45":331,"_135":332},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_163":76,"_165":76,"_166":184},"resistencia-dos-materiais-5",{"_43":283,"_55":334,"_57":335,"_158":159,"_160":-5,"_131":336,"_133":336,"_45":337,"_135":335},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_163":338,"_165":76,"_166":339},29,351586,"tagsTree",[154,342],{"_43":283,"_55":334,"_57":335,"_158":159,"_160":-5,"_131":336,"_133":336,"_45":337,"_135":335,"_168":343},[344,350,356],{"_43":280,"_55":281,"_57":282,"_158":159,"_160":283,"_131":174,"_133":174,"_45":284,"_135":287,"_168":345},[346],{"_43":290,"_55":172,"_57":173,"_158":159,"_160":280,"_131":235,"_133":235,"_45":295,"_135":297,"_168":347},[348],{"_43":289,"_55":71,"_57":72,"_158":159,"_160":290,"_131":291,"_133":291,"_45":292,"_135":293,"_168":349},[],{"_43":301,"_55":302,"_57":303,"_158":159,"_160":283,"_131":174,"_133":174,"_45":304,"_135":307,"_168":351},[352],{"_43":314,"_55":315,"_57":316,"_158":159,"_160":301,"_131":317,"_133":317,"_45":318,"_135":320,"_168":353},[354],{"_43":328,"_55":329,"_57":72,"_158":159,"_160":314,"_131":330,"_133":330,"_45":331,"_135":332,"_168":355},[],{"_43":234,"_55":309,"_57":310,"_158":159,"_160":283,"_131":174,"_133":174,"_45":311,"_135":312,"_168":357},[358],{"_43":231,"_55":232,"_57":233,"_158":159,"_160":234,"_131":235,"_133":235,"_45":236,"_135":233,"_168":359},[360],{"_43":323,"_55":71,"_57":72,"_158":159,"_160":231,"_131":324,"_133":324,"_45":325,"_135":326,"_168":361},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários