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Um momento negativo tende a curvar uma viga com uma concavidade. Com base nessa concavidade, assinale a alternativa:

","status","pending_classification","hasRelatedVideo","relatedVideos",[83],{"_84":85,"_103":104,"_29":119,"_154":155,"_173":174},"content",{"_22":86,"_35":87,"_88":-5,"_89":90,"_91":92,"_93":-5,"_24":94,"_97":98,"_99":98,"_100":-5,"_101":102},"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",{"_95":96},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-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","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",[120],{"_22":121,"_35":122,"_37":123,"_124":125,"_126":-5,"_97":127,"_99":127,"_24":128,"_101":123,"_135":136},"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",{"_129":130,"_131":132,"_133":134},"childrenCount",18,"content_count",0,"question_count",135489,"children",[137],{"_22":138,"_35":139,"_37":140,"_124":125,"_126":121,"_97":141,"_99":141,"_24":142,"_101":145,"_135":146},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_129":143,"_131":132,"_133":144},10,19948,"mecanica-2",[147],{"_22":148,"_35":36,"_37":38,"_124":125,"_126":138,"_97":149,"_99":149,"_24":150,"_101":152,"_135":153},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_129":132,"_131":132,"_133":151},3376,"resistencia-dos-materiais-4",[],"video",{"_22":92,"_156":87,"_88":-5,"_157":158,"_159":160,"_6":-5,"_161":-5,"_105":160,"_162":163,"_116":-5,"_164":-5,"_165":-5,"_166":-5,"_167":-5,"_24":168,"_169":132,"_170":-5,"_78":171,"_97":172,"_99":172},"title","duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_95":96},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_22":121,"_35":122,"_37":123,"_124":125,"_126":-5,"_97":127,"_99":127,"_24":175,"_101":123,"_135":176},{"_129":130,"_131":132,"_133":134},[177],{"_22":138,"_35":139,"_37":140,"_124":125,"_126":121,"_97":141,"_99":141,"_24":178,"_101":145,"_135":179},{"_129":143,"_131":132,"_133":144},[180],{"_22":148,"_35":36,"_37":38,"_124":125,"_126":138,"_97":149,"_99":149,"_24":181,"_101":152,"_135":182},{"_129":132,"_131":132,"_133":151},[],"similarQuestions",[185,216,236],{"_18":186,"_20":21,"_22":187,"_56":188,"_75":204,"_76":205,"_29":206},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[189,192,195,198,201],{"_22":190,"_60":61,"_62":191},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_22":193,"_60":66,"_62":194},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_22":196,"_60":70,"_62":197},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_22":199,"_60":73,"_62":200},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_22":186,"_60":202,"_62":203},"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

",[207],{"_22":208,"_35":209,"_37":210,"_124":125,"_126":211,"_97":212,"_99":212,"_24":213,"_101":210},"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",{"_129":214,"_131":132,"_133":215},4,12302,{"_18":217,"_20":21,"_22":218,"_56":219,"_75":231,"_76":232,"_29":233},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[220,223,226,228],{"_22":221,"_60":61,"_62":222},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_22":224,"_60":66,"_62":225},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_22":217,"_60":70,"_62":227},"

Verdadeiro, falso, verdadeiro

",{"_22":229,"_60":73,"_62":230},"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????",[257],{"_22":208,"_35":209,"_37":210,"_124":125,"_126":211,"_97":212,"_99":212,"_24":258,"_101":210},{"_129":214,"_131":132,"_133":215},[260,262,271,277,281,283,285,293,298,306,308,313,319],{"_22":208,"_35":209,"_37":210,"_124":125,"_126":211,"_97":212,"_99":212,"_24":261,"_101":210},{"_129":214,"_131":132,"_133":215},{"_22":263,"_35":264,"_37":265,"_124":125,"_126":266,"_97":141,"_99":141,"_24":267,"_101":270},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_129":268,"_131":132,"_133":269},5,30614,"engenharia-mecatronica-1",{"_22":272,"_35":36,"_37":38,"_124":125,"_126":273,"_97":274,"_99":274,"_24":275,"_101":276},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_129":132,"_131":132,"_133":151},"resistencia-dos-materiais-6",{"_22":273,"_35":139,"_37":140,"_124":125,"_126":263,"_97":212,"_99":212,"_24":278,"_101":280},{"_129":268,"_131":132,"_133":279},25741,"mecanica-3",{"_22":121,"_35":122,"_37":123,"_124":125,"_126":-5,"_97":127,"_99":127,"_24":282,"_101":123},{"_129":130,"_131":132,"_133":134},{"_22":148,"_35":36,"_37":38,"_124":125,"_126":138,"_97":149,"_99":149,"_24":284,"_101":152},{"_129":132,"_131":132,"_133":151},{"_22":286,"_35":287,"_37":288,"_124":125,"_126":266,"_97":141,"_99":141,"_24":289,"_101":292},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_129":290,"_131":132,"_133":291},21,45865,"engenharia-civil-3",{"_22":211,"_35":294,"_37":295,"_124":125,"_126":266,"_97":141,"_99":141,"_24":296,"_101":297},"Engenharia de Petróleo","engenharia-de-petroleo",{"_129":268,"_131":132,"_133":215},"engenharia-de-petroleo-1",{"_22":299,"_35":300,"_37":301,"_124":125,"_126":286,"_97":302,"_99":302,"_24":303,"_101":305},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_129":268,"_131":132,"_133":304},8852,"estruturas-1",{"_22":138,"_35":139,"_37":140,"_124":125,"_126":121,"_97":141,"_99":141,"_24":307,"_101":145},{"_129":143,"_131":132,"_133":144},{"_22":309,"_35":36,"_37":38,"_124":125,"_126":208,"_97":310,"_99":310,"_24":311,"_101":312},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_129":132,"_131":132,"_133":151},"resistencia-dos-materiais-7",{"_22":314,"_35":315,"_37":38,"_124":125,"_126":299,"_97":316,"_99":316,"_24":317,"_101":318},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_129":132,"_131":132,"_133":151},"resistencia-dos-materiais-5",{"_22":266,"_35":320,"_37":321,"_124":125,"_126":-5,"_97":322,"_99":322,"_24":323,"_101":321},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_129":324,"_131":132,"_133":325},29,351586,"tagsTree",[328,337],{"_22":121,"_35":122,"_37":123,"_124":125,"_126":-5,"_97":127,"_99":127,"_24":329,"_101":123,"_135":330},{"_129":130,"_131":132,"_133":134},[331],{"_22":138,"_35":139,"_37":140,"_124":125,"_126":121,"_97":141,"_99":141,"_24":332,"_101":145,"_135":333},{"_129":143,"_131":132,"_133":144},[334],{"_22":148,"_35":36,"_37":38,"_124":125,"_126":138,"_97":149,"_99":149,"_24":335,"_101":152,"_135":336},{"_129":132,"_131":132,"_133":151},[],{"_22":266,"_35":320,"_37":321,"_124":125,"_126":-5,"_97":322,"_99":322,"_24":338,"_101":321,"_135":339},{"_129":324,"_131":132,"_133":325},[340,349,358],{"_22":263,"_35":264,"_37":265,"_124":125,"_126":266,"_97":141,"_99":141,"_24":341,"_101":270,"_135":342},{"_129":268,"_131":132,"_133":269},[343],{"_22":273,"_35":139,"_37":140,"_124":125,"_126":263,"_97":212,"_99":212,"_24":344,"_101":280,"_135":345},{"_129":268,"_131":132,"_133":279},[346],{"_22":272,"_35":36,"_37":38,"_124":125,"_126":273,"_97":274,"_99":274,"_24":347,"_101":276,"_135":348},{"_129":132,"_131":132,"_133":151},[],{"_22":286,"_35":287,"_37":288,"_124":125,"_126":266,"_97":141,"_99":141,"_24":350,"_101":292,"_135":351},{"_129":290,"_131":132,"_133":291},[352],{"_22":299,"_35":300,"_37":301,"_124":125,"_126":286,"_97":302,"_99":302,"_24":353,"_101":305,"_135":354},{"_129":268,"_131":132,"_133":304},[355],{"_22":314,"_35":315,"_37":38,"_124":125,"_126":299,"_97":316,"_99":316,"_24":356,"_101":318,"_135":357},{"_129":132,"_131":132,"_133":151},[],{"_22":211,"_35":294,"_37":295,"_124":125,"_126":266,"_97":141,"_99":141,"_24":359,"_101":297,"_135":360},{"_129":268,"_131":132,"_133":215},[361],{"_22":208,"_35":209,"_37":210,"_124":125,"_126":211,"_97":212,"_99":212,"_24":362,"_101":210,"_135":363},{"_129":214,"_131":132,"_133":215},[364],{"_22":309,"_35":36,"_37":38,"_124":125,"_126":208,"_97":310,"_99":310,"_24":365,"_101":312,"_135":366},{"_129":132,"_131":132,"_133":151},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários