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Abaixo é apresentada a representação de uma planta de produção de combustíveis. Como é classificada esta representação?

","status","pending_classification","hasRelatedVideo","relatedVideos",[83],{"_84":85,"_103":104,"_29":119,"_138":139,"_157":120},"content",{"_22":86,"_35":87,"_88":-5,"_89":90,"_91":92,"_93":-5,"_24":94,"_97":98,"_99":98,"_100":-5,"_101":102},"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",{"_95":96},"external_id","3659","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","calor-latente-parte-1","prometheusData",{"_105":106,"_112":113,"_114":115,"_116":117,"_6":118},"provider",{"_22":107,"_108":109,"_110":111},"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",[120],{"_22":121,"_35":122,"_37":123,"_124":125,"_126":127,"_97":128,"_99":128,"_24":129,"_101":123,"_136":137},"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",{"_130":131,"_132":133,"_134":135},"childrenCount",10,"content_count",0,"question_count",8575,"children",[],"video",{"_22":92,"_140":87,"_88":-5,"_141":142,"_143":144,"_6":-5,"_145":-5,"_105":144,"_146":147,"_116":-5,"_148":-5,"_149":-5,"_150":-5,"_151":-5,"_24":152,"_153":133,"_154":-5,"_78":155,"_97":156,"_99":156},"title","duration",17,"source_type","prometheus","iframe_url","provider_video_id","748a4adb-ad8f-4c5f-88a9-bc522d3b4246","format","quality","file_path","file_size",{"_95":96},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag","similarQuestions",[160,191,209],{"_18":161,"_20":21,"_22":162,"_56":163,"_75":179,"_76":180,"_29":181},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[164,167,170,173,176],{"_22":165,"_59":60,"_61":166},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_22":168,"_59":65,"_61":169},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_22":171,"_59":69,"_61":172},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_22":174,"_59":73,"_61":175},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_22":161,"_59":177,"_61":178},"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

",[182],{"_22":183,"_35":184,"_37":185,"_124":125,"_126":186,"_97":187,"_99":187,"_24":188,"_101":185},"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",{"_130":189,"_132":133,"_134":190},4,12302,{"_18":192,"_20":21,"_22":193,"_56":194,"_75":206,"_76":207,"_29":208},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[195,198,201,203],{"_22":196,"_59":60,"_61":197},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_22":199,"_59":65,"_61":200},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_22":192,"_59":69,"_61":202},"

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?

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[182],[182,231,237,247,254,261,262,270,276,281,287,294],{"_22":232,"_35":36,"_37":38,"_124":125,"_126":233,"_97":128,"_99":128,"_24":234,"_101":236},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_130":42,"_132":133,"_134":235},11846,"termodinamica-3",{"_22":238,"_35":239,"_37":240,"_124":125,"_126":241,"_97":242,"_99":242,"_24":243,"_101":246},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_130":244,"_132":133,"_134":245},5,30614,"engenharia-mecatronica-1",{"_22":248,"_35":249,"_37":250,"_124":125,"_126":238,"_97":187,"_99":187,"_24":251,"_101":253},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_130":244,"_132":133,"_134":252},25741,"mecanica-3",{"_22":233,"_35":255,"_37":256,"_124":125,"_126":241,"_97":242,"_99":242,"_24":257,"_101":260},"Engenharia Mecânica","engenharia-mecanica",{"_130":258,"_132":133,"_134":259},11,36318,"engenharia-mecanica-2",{"_22":121,"_35":122,"_37":123,"_124":125,"_126":127,"_97":128,"_99":128,"_24":129,"_101":123},{"_22":263,"_35":264,"_37":265,"_124":125,"_126":-5,"_97":266,"_99":266,"_24":267,"_101":265},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_130":268,"_132":133,"_134":269},18,135489,{"_22":271,"_35":36,"_37":38,"_124":125,"_126":183,"_97":272,"_99":272,"_24":273,"_101":275},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_130":133,"_132":133,"_134":274},8597,"termodinamica-5",{"_22":186,"_35":277,"_37":278,"_124":125,"_126":241,"_97":242,"_99":242,"_24":279,"_101":280},"Engenharia de Petróleo","engenharia-de-petroleo",{"_130":244,"_132":133,"_134":190},"engenharia-de-petroleo-1",{"_22":127,"_35":282,"_37":283,"_124":125,"_126":263,"_97":242,"_99":242,"_24":284,"_101":286},"Física","fisica",{"_130":258,"_132":133,"_134":285},13777,"fisica-4",{"_22":241,"_35":288,"_37":289,"_124":125,"_126":-5,"_97":290,"_99":290,"_24":291,"_101":289},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_130":292,"_132":133,"_134":293},29,351586,{"_22":295,"_35":36,"_37":38,"_124":125,"_126":248,"_97":296,"_99":296,"_24":297,"_101":298},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_130":133,"_132":133,"_134":274},"termodinamica-4","tagsTree",[301,305],{"_22":263,"_35":264,"_37":265,"_124":125,"_126":-5,"_97":266,"_99":266,"_24":267,"_101":265,"_136":302},[303],{"_22":127,"_35":282,"_37":283,"_124":125,"_126":263,"_97":242,"_99":242,"_24":284,"_101":286,"_136":304},[120],{"_22":241,"_35":288,"_37":289,"_124":125,"_126":-5,"_97":290,"_99":290,"_24":291,"_101":289,"_136":306},[307,313,317],{"_22":238,"_35":239,"_37":240,"_124":125,"_126":241,"_97":242,"_99":242,"_24":243,"_101":246,"_136":308},[309],{"_22":248,"_35":249,"_37":250,"_124":125,"_126":238,"_97":187,"_99":187,"_24":251,"_101":253,"_136":310},[311],{"_22":295,"_35":36,"_37":38,"_124":125,"_126":248,"_97":296,"_99":296,"_24":297,"_101":298,"_136":312},[],{"_22":233,"_35":255,"_37":256,"_124":125,"_126":241,"_97":242,"_99":242,"_24":257,"_101":260,"_136":314},[315],{"_22":232,"_35":36,"_37":38,"_124":125,"_126":233,"_97":128,"_99":128,"_24":234,"_101":236,"_136":316},[],{"_22":186,"_35":277,"_37":278,"_124":125,"_126":241,"_97":242,"_99":242,"_24":279,"_101":280,"_136":318},[319],{"_22":183,"_35":184,"_37":185,"_124":125,"_126":186,"_97":187,"_99":187,"_24":188,"_101":185,"_136":320},[321],{"_22":271,"_35":36,"_37":38,"_124":125,"_126":183,"_97":272,"_99":272,"_24":273,"_101":275,"_136":322},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários