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Inversão térmica

",{"_44":41,"_82":87,"_84":88},"B","

Ilhas de calor urbano

",{"_44":90,"_82":91,"_84":92},"8b9cc2d9-ad33-4f18-9365-55846b6cb823","C","

Efeito de estufa

",{"_44":94,"_82":95,"_84":96},"13c237db-f39b-4655-921b-6c4aa803d185","D","

Ciclone tropical

","solution_explanation","statement","

Qual dos seguintes fenômenos meteorológicos é caracterizado por um aumento súbito e extremo da temperatura durante uma onda de calor?

","status","pending_classification","hasRelatedVideo","relatedVideos",[105],{"_106":107,"_125":126,"_52":141,"_160":161,"_177":142},"content",{"_44":108,"_58":109,"_110":-5,"_111":112,"_113":114,"_115":-5,"_46":116,"_119":120,"_121":120,"_122":-5,"_123":124},"17af1394-ae27-4d49-bad0-6dfbc097b00c","Termologia e Termometria","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","e0ab6092-71a6-4b78-8930-845a08dc3495","user_id",{"_117":118},"external_id","2594","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","termologia-e-termometria","prometheusData",{"_127":128,"_134":135,"_136":137,"_138":139,"_28":140},"provider",{"_44":129,"_130":131,"_132":133},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","b502b486-7b81-4345-a10c-e462c3043183","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/b502b486-7b81-4345-a10c-e462c3043183/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/b502b486-7b81-4345-a10c-e462c3043183/levels.m3u8",[142],{"_44":143,"_58":144,"_60":145,"_146":147,"_148":149,"_119":150,"_121":150,"_46":151,"_123":145,"_158":159},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9","2025-04-29T03:44:27.560682+00:00",{"_152":153,"_154":155,"_156":157},"childrenCount",10,"content_count",0,"question_count",8575,"children",[],"video",{"_44":114,"_13":109,"_110":-5,"_162":155,"_163":164,"_28":-5,"_165":-5,"_127":164,"_166":167,"_138":-5,"_168":-5,"_169":-5,"_170":-5,"_171":-5,"_46":172,"_173":155,"_174":-5,"_100":175,"_119":176,"_121":176},"duration","source_type","prometheus","iframe_url","provider_video_id","a58dea8f-5fbf-4462-bf04-83e715504a2f","format","quality","file_path","file_size",{"_117":118},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag","similarQuestions",[180,211,229],{"_40":181,"_42":43,"_44":182,"_78":183,"_97":199,"_98":200,"_52":201},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[184,187,190,193,196],{"_44":185,"_82":83,"_84":186},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":188,"_82":87,"_84":189},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":191,"_82":91,"_84":192},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_44":194,"_82":95,"_84":195},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_44":181,"_82":197,"_84":198},"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

",[202],{"_44":203,"_58":204,"_60":205,"_146":147,"_148":206,"_119":207,"_121":207,"_46":208,"_123":205},"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",{"_152":209,"_154":155,"_156":210},4,12302,{"_40":212,"_42":43,"_44":213,"_78":214,"_97":226,"_98":227,"_52":228},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[215,218,221,223],{"_44":216,"_82":83,"_84":217},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":219,"_82":87,"_84":220},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

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Verdadeiro, falso, verdadeiro

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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?

",[202],{"_40":230,"_42":43,"_44":231,"_78":232,"_97":247,"_98":248,"_52":249},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[233,236,239,241,244],{"_44":234,"_82":83,"_84":235},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_44":237,"_82":87,"_84":238},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_44":230,"_82":91,"_84":240},"Indeterminado",{"_44":242,"_82":95,"_84":243},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_44":245,"_82":197,"_84":246},"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????",[202],[202,251,258,268,275,282,283,291,297,302,308,315],{"_44":252,"_58":59,"_60":61,"_146":147,"_148":253,"_119":150,"_121":150,"_46":254,"_123":257},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_152":255,"_154":155,"_156":256},2,11846,"termodinamica-3",{"_44":259,"_58":260,"_60":261,"_146":147,"_148":262,"_119":263,"_121":263,"_46":264,"_123":267},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_152":265,"_154":155,"_156":266},5,30614,"engenharia-mecatronica-1",{"_44":269,"_58":270,"_60":271,"_146":147,"_148":259,"_119":207,"_121":207,"_46":272,"_123":274},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_152":265,"_154":155,"_156":273},25741,"mecanica-3",{"_44":253,"_58":276,"_60":277,"_146":147,"_148":262,"_119":263,"_121":263,"_46":278,"_123":281},"Engenharia Mecânica","engenharia-mecanica",{"_152":279,"_154":155,"_156":280},11,36318,"engenharia-mecanica-2",{"_44":143,"_58":144,"_60":145,"_146":147,"_148":149,"_119":150,"_121":150,"_46":151,"_123":145},{"_44":284,"_58":285,"_60":286,"_146":147,"_148":-5,"_119":287,"_121":287,"_46":288,"_123":286},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_152":289,"_154":155,"_156":290},18,135489,{"_44":292,"_58":59,"_60":61,"_146":147,"_148":203,"_119":293,"_121":293,"_46":294,"_123":296},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_152":155,"_154":155,"_156":295},8597,"termodinamica-5",{"_44":206,"_58":298,"_60":299,"_146":147,"_148":262,"_119":263,"_121":263,"_46":300,"_123":301},"Engenharia de Petróleo","engenharia-de-petroleo",{"_152":265,"_154":155,"_156":210},"engenharia-de-petroleo-1",{"_44":149,"_58":303,"_60":304,"_146":147,"_148":284,"_119":263,"_121":263,"_46":305,"_123":307},"Física","fisica",{"_152":279,"_154":155,"_156":306},13777,"fisica-4",{"_44":262,"_58":309,"_60":310,"_146":147,"_148":-5,"_119":311,"_121":311,"_46":312,"_123":310},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_152":313,"_154":155,"_156":314},29,351586,{"_44":316,"_58":59,"_60":61,"_146":147,"_148":269,"_119":317,"_121":317,"_46":318,"_123":319},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_152":155,"_154":155,"_156":295},"termodinamica-4","tagsTree",[322,326],{"_44":284,"_58":285,"_60":286,"_146":147,"_148":-5,"_119":287,"_121":287,"_46":288,"_123":286,"_158":323},[324],{"_44":149,"_58":303,"_60":304,"_146":147,"_148":284,"_119":263,"_121":263,"_46":305,"_123":307,"_158":325},[142],{"_44":262,"_58":309,"_60":310,"_146":147,"_148":-5,"_119":311,"_121":311,"_46":312,"_123":310,"_158":327},[328,334,338],{"_44":259,"_58":260,"_60":261,"_146":147,"_148":262,"_119":263,"_121":263,"_46":264,"_123":267,"_158":329},[330],{"_44":269,"_58":270,"_60":271,"_146":147,"_148":259,"_119":207,"_121":207,"_46":272,"_123":274,"_158":331},[332],{"_44":316,"_58":59,"_60":61,"_146":147,"_148":269,"_119":317,"_121":317,"_46":318,"_123":319,"_158":333},[],{"_44":253,"_58":276,"_60":277,"_146":147,"_148":262,"_119":263,"_121":263,"_46":278,"_123":281,"_158":335},[336],{"_44":252,"_58":59,"_60":61,"_146":147,"_148":253,"_119":150,"_121":150,"_46":254,"_123":257,"_158":337},[],{"_44":206,"_58":298,"_60":299,"_146":147,"_148":262,"_119":263,"_121":263,"_46":300,"_123":301,"_158":339},[340],{"_44":203,"_58":204,"_60":205,"_146":147,"_148":206,"_119":207,"_121":207,"_46":208,"_123":205,"_158":341},[342],{"_44":292,"_58":59,"_60":61,"_146":147,"_148":203,"_119":293,"_121":293,"_46":294,"_123":296,"_158":343},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários