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A função de um soprador de fuligem é removê-la

","status","pending_classification","hasRelatedVideo","relatedVideos",[92],{"_93":94,"_112":113,"_29":128,"_147":148,"_166":167},"content",{"_21":95,"_33":96,"_97":-5,"_98":99,"_100":101,"_102":-5,"_23":103,"_106":107,"_108":107,"_109":-5,"_110":111},"162087be-594f-460e-bbdd-a339ac2f10ad","Calor Latente - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","f2b62fc2-7079-40e7-a5b5-c4a9769b205d","user_id",{"_104":105},"external_id","3659","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","calor-latente-parte-1","prometheusData",{"_114":115,"_121":122,"_123":124,"_125":126,"_6":127},"provider",{"_21":116,"_117":118,"_119":120},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","bf8aacba-3de9-4b10-961c-47ada80dfe8c","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/levels.m3u8",[129],{"_21":130,"_33":131,"_35":132,"_133":134,"_135":136,"_106":137,"_108":137,"_23":138,"_110":132,"_145":146},"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",{"_139":140,"_141":142,"_143":144},"childrenCount",10,"content_count",0,"question_count",8575,"children",[],"video",{"_21":101,"_149":96,"_97":-5,"_150":151,"_152":153,"_6":-5,"_154":-5,"_114":153,"_155":156,"_125":-5,"_157":-5,"_158":-5,"_159":-5,"_160":-5,"_23":161,"_162":142,"_163":-5,"_87":164,"_106":165,"_108":165},"title","duration",17,"source_type","prometheus","iframe_url","provider_video_id","748a4adb-ad8f-4c5f-88a9-bc522d3b4246","format","quality","file_path","file_size",{"_104":105},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag",{"_21":130,"_33":131,"_35":132,"_133":134,"_135":136,"_106":137,"_108":137,"_23":168,"_110":132,"_145":169},{"_139":140,"_141":142,"_143":144},[],"similarQuestions",[172,202,222],{"_18":173,"_20":19,"_21":174,"_60":175,"_84":190,"_85":191,"_29":192},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[176,179,182,185,188],{"_21":177,"_64":65,"_66":178},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_21":180,"_64":70,"_66":181},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_21":183,"_64":74,"_66":184},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_21":186,"_64":78,"_66":187},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_21":173,"_64":82,"_66":189},"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

",[193],{"_21":194,"_33":195,"_35":196,"_133":134,"_135":197,"_106":198,"_108":198,"_23":199,"_110":196},"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",{"_139":200,"_141":142,"_143":201},4,12302,{"_18":203,"_20":19,"_21":204,"_60":205,"_84":217,"_85":218,"_29":219},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[206,209,212,214],{"_21":207,"_64":65,"_66":208},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_21":210,"_64":70,"_66":211},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_21":203,"_64":74,"_66":213},"

Verdadeiro, falso, verdadeiro

",{"_21":215,"_64":78,"_66":216},"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????",[243],{"_21":194,"_33":195,"_35":196,"_133":134,"_135":197,"_106":198,"_108":198,"_23":244,"_110":196},{"_139":200,"_141":142,"_143":201},[246,248,255,265,272,279,281,289,295,300,306,313],{"_21":194,"_33":195,"_35":196,"_133":134,"_135":197,"_106":198,"_108":198,"_23":247,"_110":196},{"_139":200,"_141":142,"_143":201},{"_21":249,"_33":41,"_35":42,"_133":134,"_135":250,"_106":137,"_108":137,"_23":251,"_110":254},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_139":252,"_141":142,"_143":253},2,11846,"termodinamica-3",{"_21":256,"_33":257,"_35":258,"_133":134,"_135":259,"_106":260,"_108":260,"_23":261,"_110":264},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_139":262,"_141":142,"_143":263},5,30614,"engenharia-mecatronica-1",{"_21":266,"_33":267,"_35":268,"_133":134,"_135":256,"_106":198,"_108":198,"_23":269,"_110":271},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_139":262,"_141":142,"_143":270},25741,"mecanica-3",{"_21":250,"_33":273,"_35":274,"_133":134,"_135":259,"_106":260,"_108":260,"_23":275,"_110":278},"Engenharia Mecânica","engenharia-mecanica",{"_139":276,"_141":142,"_143":277},11,36318,"engenharia-mecanica-2",{"_21":130,"_33":131,"_35":132,"_133":134,"_135":136,"_106":137,"_108":137,"_23":280,"_110":132},{"_139":140,"_141":142,"_143":144},{"_21":282,"_33":283,"_35":284,"_133":134,"_135":-5,"_106":285,"_108":285,"_23":286,"_110":284},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_139":287,"_141":142,"_143":288},18,135489,{"_21":290,"_33":41,"_35":42,"_133":134,"_135":194,"_106":291,"_108":291,"_23":292,"_110":294},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_139":142,"_141":142,"_143":293},8597,"termodinamica-5",{"_21":197,"_33":296,"_35":297,"_133":134,"_135":259,"_106":260,"_108":260,"_23":298,"_110":299},"Engenharia de Petróleo","engenharia-de-petroleo",{"_139":262,"_141":142,"_143":201},"engenharia-de-petroleo-1",{"_21":136,"_33":301,"_35":302,"_133":134,"_135":282,"_106":260,"_108":260,"_23":303,"_110":305},"Física","fisica",{"_139":276,"_141":142,"_143":304},13777,"fisica-4",{"_21":259,"_33":307,"_35":308,"_133":134,"_135":-5,"_106":309,"_108":309,"_23":310,"_110":308},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_139":311,"_141":142,"_143":312},29,351586,{"_21":314,"_33":41,"_35":42,"_133":134,"_135":266,"_106":315,"_108":315,"_23":316,"_110":317},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_139":142,"_141":142,"_143":293},"termodinamica-4","tagsTree",[320,329],{"_21":282,"_33":283,"_35":284,"_133":134,"_135":-5,"_106":285,"_108":285,"_23":321,"_110":284,"_145":322},{"_139":287,"_141":142,"_143":288},[323],{"_21":136,"_33":301,"_35":302,"_133":134,"_135":282,"_106":260,"_108":260,"_23":324,"_110":305,"_145":325},{"_139":276,"_141":142,"_143":304},[326],{"_21":130,"_33":131,"_35":132,"_133":134,"_135":136,"_106":137,"_108":137,"_23":327,"_110":132,"_145":328},{"_139":140,"_141":142,"_143":144},[],{"_21":259,"_33":307,"_35":308,"_133":134,"_135":-5,"_106":309,"_108":309,"_23":330,"_110":308,"_145":331},{"_139":311,"_141":142,"_143":312},[332,341,347],{"_21":256,"_33":257,"_35":258,"_133":134,"_135":259,"_106":260,"_108":260,"_23":333,"_110":264,"_145":334},{"_139":262,"_141":142,"_143":263},[335],{"_21":266,"_33":267,"_35":268,"_133":134,"_135":256,"_106":198,"_108":198,"_23":336,"_110":271,"_145":337},{"_139":262,"_141":142,"_143":270},[338],{"_21":314,"_33":41,"_35":42,"_133":134,"_135":266,"_106":315,"_108":315,"_23":339,"_110":317,"_145":340},{"_139":142,"_141":142,"_143":293},[],{"_21":250,"_33":273,"_35":274,"_133":134,"_135":259,"_106":260,"_108":260,"_23":342,"_110":278,"_145":343},{"_139":276,"_141":142,"_143":277},[344],{"_21":249,"_33":41,"_35":42,"_133":134,"_135":250,"_106":137,"_108":137,"_23":345,"_110":254,"_145":346},{"_139":252,"_141":142,"_143":253},[],{"_21":197,"_33":296,"_35":297,"_133":134,"_135":259,"_106":260,"_108":260,"_23":348,"_110":299,"_145":349},{"_139":262,"_141":142,"_143":201},[350],{"_21":194,"_33":195,"_35":196,"_133":134,"_135":197,"_106":198,"_108":198,"_23":351,"_110":196,"_145":352},{"_139":200,"_141":142,"_143":201},[353],{"_21":290,"_33":41,"_35":42,"_133":134,"_135":194,"_106":291,"_108":291,"_23":354,"_110":294,"_145":355},{"_139":142,"_141":142,"_143":293},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários