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Nueva Zelanda Blanco e Californiano.

",{"_44":105,"_100":106,"_102":107},"df02ffc2-7c9a-44dc-81bd-68034d15060f","B","

Nueva Zelanda Blanco e Angora.

",{"_44":109,"_100":110,"_102":111},"5ae97dd0-74a8-4adc-83b8-3ab72c3f3a39","C","

Californiano e Angora.

",{"_44":113,"_100":114,"_102":115},"b087b1a0-0b67-46c0-afd4-ab3d39a99e16","D","

Netherland Dwarf e Flemish Giant.

","solution_explanation","statement","

Quais são as duas raças de coelhos mais importantes economicamente para a produção de carne?

","status","pending_classification","hasRelatedVideo","relatedVideos",[124],{"_125":126,"_144":145,"_52":160,"_194":195,"_212":213},"content",{"_44":127,"_56":128,"_129":-5,"_130":131,"_132":133,"_134":-5,"_46":135,"_138":139,"_140":139,"_141":-5,"_142":143},"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",{"_136":137},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_146":147,"_153":154,"_155":156,"_157":158,"_28":159},"provider",{"_44":148,"_149":150,"_151":152},"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",[161],{"_44":162,"_56":163,"_58":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_46":169,"_142":164,"_175":176},"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",{"_170":171,"_172":84,"_173":174},"childrenCount",18,"content_count","question_count",135489,"children",[177],{"_44":178,"_56":179,"_58":180,"_165":166,"_167":162,"_138":181,"_140":181,"_46":182,"_142":185,"_175":186},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_170":183,"_172":84,"_173":184},10,19948,"mecanica-2",[187],{"_44":188,"_56":79,"_58":80,"_165":166,"_167":178,"_138":189,"_140":189,"_46":190,"_142":192,"_175":193},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_170":84,"_172":84,"_173":191},3376,"resistencia-dos-materiais-4",[],"video",{"_44":133,"_13":128,"_129":-5,"_196":197,"_198":199,"_28":-5,"_200":-5,"_146":199,"_201":202,"_157":-5,"_203":-5,"_204":-5,"_205":-5,"_206":-5,"_46":207,"_208":84,"_209":-5,"_119":210,"_138":211,"_140":211},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_136":137},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_44":162,"_56":163,"_58":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_46":214,"_142":164,"_175":215},{"_170":171,"_172":84,"_173":174},[216],{"_44":178,"_56":179,"_58":180,"_165":166,"_167":162,"_138":181,"_140":181,"_46":217,"_142":185,"_175":218},{"_170":183,"_172":84,"_173":184},[219],{"_44":188,"_56":79,"_58":80,"_165":166,"_167":178,"_138":189,"_140":189,"_46":220,"_142":192,"_175":221},{"_170":84,"_172":84,"_173":191},[],"similarQuestions",[224,255,275],{"_40":225,"_42":43,"_44":226,"_97":227,"_116":243,"_117":244,"_52":245},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[228,231,234,237,240],{"_44":229,"_100":101,"_102":230},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":232,"_100":106,"_102":233},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":235,"_100":110,"_102":236},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_44":238,"_100":114,"_102":239},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_44":225,"_100":241,"_102":242},"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

",[246],{"_44":247,"_56":248,"_58":249,"_165":166,"_167":250,"_138":251,"_140":251,"_46":252,"_142":249},"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",{"_170":253,"_172":84,"_173":254},4,12302,{"_40":256,"_42":43,"_44":257,"_97":258,"_116":270,"_117":271,"_52":272},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[259,262,265,267],{"_44":260,"_100":101,"_102":261},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":263,"_100":106,"_102":264},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":256,"_100":110,"_102":266},"

Verdadeiro, falso, verdadeiro

",{"_44":268,"_100":114,"_102":269},"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?

",[273],{"_44":247,"_56":248,"_58":249,"_165":166,"_167":250,"_138":251,"_140":251,"_46":274,"_142":249},{"_170":253,"_172":84,"_173":254},{"_40":276,"_42":43,"_44":277,"_97":278,"_116":293,"_117":294,"_52":295},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[279,282,285,287,290],{"_44":280,"_100":101,"_102":281},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":283,"_100":106,"_102":284},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":276,"_100":110,"_102":286},"Indeterminado",{"_44":288,"_100":114,"_102":289},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":291,"_100":241,"_102":292},"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????",[296],{"_44":247,"_56":248,"_58":249,"_165":166,"_167":250,"_138":251,"_140":251,"_46":297,"_142":249},{"_170":253,"_172":84,"_173":254},[299,301,310,316,320,322,324,332,337,345,347,352,358],{"_44":247,"_56":248,"_58":249,"_165":166,"_167":250,"_138":251,"_140":251,"_46":300,"_142":249},{"_170":253,"_172":84,"_173":254},{"_44":302,"_56":303,"_58":304,"_165":166,"_167":305,"_138":181,"_140":181,"_46":306,"_142":309},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_170":307,"_172":84,"_173":308},5,30614,"engenharia-mecatronica-1",{"_44":311,"_56":79,"_58":80,"_165":166,"_167":312,"_138":313,"_140":313,"_46":314,"_142":315},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_170":84,"_172":84,"_173":191},"resistencia-dos-materiais-6",{"_44":312,"_56":179,"_58":180,"_165":166,"_167":302,"_138":251,"_140":251,"_46":317,"_142":319},{"_170":307,"_172":84,"_173":318},25741,"mecanica-3",{"_44":162,"_56":163,"_58":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_46":321,"_142":164},{"_170":171,"_172":84,"_173":174},{"_44":188,"_56":79,"_58":80,"_165":166,"_167":178,"_138":189,"_140":189,"_46":323,"_142":192},{"_170":84,"_172":84,"_173":191},{"_44":325,"_56":326,"_58":327,"_165":166,"_167":305,"_138":181,"_140":181,"_46":328,"_142":331},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_170":329,"_172":84,"_173":330},21,45865,"engenharia-civil-3",{"_44":250,"_56":333,"_58":334,"_165":166,"_167":305,"_138":181,"_140":181,"_46":335,"_142":336},"Engenharia de Petróleo","engenharia-de-petroleo",{"_170":307,"_172":84,"_173":254},"engenharia-de-petroleo-1",{"_44":338,"_56":339,"_58":340,"_165":166,"_167":325,"_138":341,"_140":341,"_46":342,"_142":344},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_170":307,"_172":84,"_173":343},8852,"estruturas-1",{"_44":178,"_56":179,"_58":180,"_165":166,"_167":162,"_138":181,"_140":181,"_46":346,"_142":185},{"_170":183,"_172":84,"_173":184},{"_44":348,"_56":79,"_58":80,"_165":166,"_167":247,"_138":349,"_140":349,"_46":350,"_142":351},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_170":84,"_172":84,"_173":191},"resistencia-dos-materiais-7",{"_44":353,"_56":354,"_58":80,"_165":166,"_167":338,"_138":355,"_140":355,"_46":356,"_142":357},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_170":84,"_172":84,"_173":191},"resistencia-dos-materiais-5",{"_44":305,"_56":359,"_58":360,"_165":166,"_167":-5,"_138":361,"_140":361,"_46":362,"_142":360},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_170":363,"_172":84,"_173":364},29,351586,"tagsTree",[367,376],{"_44":162,"_56":163,"_58":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_46":368,"_142":164,"_175":369},{"_170":171,"_172":84,"_173":174},[370],{"_44":178,"_56":179,"_58":180,"_165":166,"_167":162,"_138":181,"_140":181,"_46":371,"_142":185,"_175":372},{"_170":183,"_172":84,"_173":184},[373],{"_44":188,"_56":79,"_58":80,"_165":166,"_167":178,"_138":189,"_140":189,"_46":374,"_142":192,"_175":375},{"_170":84,"_172":84,"_173":191},[],{"_44":305,"_56":359,"_58":360,"_165":166,"_167":-5,"_138":361,"_140":361,"_46":377,"_142":360,"_175":378},{"_170":363,"_172":84,"_173":364},[379,388,397],{"_44":302,"_56":303,"_58":304,"_165":166,"_167":305,"_138":181,"_140":181,"_46":380,"_142":309,"_175":381},{"_170":307,"_172":84,"_173":308},[382],{"_44":312,"_56":179,"_58":180,"_165":166,"_167":302,"_138":251,"_140":251,"_46":383,"_142":319,"_175":384},{"_170":307,"_172":84,"_173":318},[385],{"_44":311,"_56":79,"_58":80,"_165":166,"_167":312,"_138":313,"_140":313,"_46":386,"_142":315,"_175":387},{"_170":84,"_172":84,"_173":191},[],{"_44":325,"_56":326,"_58":327,"_165":166,"_167":305,"_138":181,"_140":181,"_46":389,"_142":331,"_175":390},{"_170":329,"_172":84,"_173":330},[391],{"_44":338,"_56":339,"_58":340,"_165":166,"_167":325,"_138":341,"_140":341,"_46":392,"_142":344,"_175":393},{"_170":307,"_172":84,"_173":343},[394],{"_44":353,"_56":354,"_58":80,"_165":166,"_167":338,"_138":355,"_140":355,"_46":395,"_142":357,"_175":396},{"_170":84,"_172":84,"_173":191},[],{"_44":250,"_56":333,"_58":334,"_165":166,"_167":305,"_138":181,"_140":181,"_46":398,"_142":336,"_175":399},{"_170":307,"_172":84,"_173":254},[400],{"_44":247,"_56":248,"_58":249,"_165":166,"_167":250,"_138":251,"_140":251,"_46":401,"_142":249,"_175":402},{"_170":253,"_172":84,"_173":254},[403],{"_44":348,"_56":79,"_58":80,"_165":166,"_167":247,"_138":349,"_140":349,"_46":404,"_142":351,"_175":405},{"_170":84,"_172":84,"_173":191},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários