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Quais são as ferramentas recomendadas por Schramm, Costa e Formoso (2006) para a elaboração do PSP de um empreendimento?

","status","pending_classification","hasRelatedVideo","relatedVideos",[93],{"_94":95,"_113":114,"_51":129,"_164":165,"_182":130},"content",{"_43":96,"_57":97,"_98":-5,"_99":100,"_101":102,"_103":-5,"_45":104,"_107":108,"_109":108,"_110":-5,"_111":112},"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",{"_105":106},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_115":116,"_122":123,"_124":125,"_126":127,"_28":128},"provider",{"_43":117,"_118":119,"_120":121},"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",[130],{"_43":131,"_57":132,"_59":133,"_134":135,"_136":-5,"_107":137,"_109":137,"_45":138,"_111":133,"_145":146},"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",{"_139":140,"_141":142,"_143":144},"childrenCount",18,"content_count",0,"question_count",135489,"children",[147],{"_43":148,"_57":149,"_59":150,"_134":135,"_136":131,"_107":151,"_109":151,"_45":152,"_111":155,"_145":156},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_139":153,"_141":142,"_143":154},10,19948,"mecanica-2",[157],{"_43":158,"_57":58,"_59":60,"_134":135,"_136":148,"_107":159,"_109":159,"_45":160,"_111":162,"_145":163},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_139":142,"_141":142,"_143":161},3376,"resistencia-dos-materiais-4",[],"video",{"_43":102,"_13":97,"_98":-5,"_166":167,"_168":169,"_28":-5,"_170":-5,"_115":169,"_171":172,"_126":-5,"_173":-5,"_174":-5,"_175":-5,"_176":-5,"_45":177,"_178":142,"_179":-5,"_88":180,"_107":181,"_109":181},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_105":106},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[185,219,237],{"_40":186,"_42":41,"_43":187,"_77":188,"_85":207,"_86":208,"_51":209},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[189,192,196,200,204],{"_43":190,"_81":82,"_83":191},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":193,"_81":194,"_83":195},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_43":197,"_81":198,"_83":199},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_43":201,"_81":202,"_83":203},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_43":186,"_81":205,"_83":206},"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

",[210],{"_43":211,"_57":212,"_59":213,"_134":135,"_136":214,"_107":215,"_109":215,"_45":216,"_111":213},"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":217,"_141":142,"_143":218},4,12302,{"_40":220,"_42":41,"_43":221,"_77":222,"_85":234,"_86":235,"_51":236},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[223,226,229,231],{"_43":224,"_81":82,"_83":225},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":227,"_81":194,"_83":228},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":220,"_81":198,"_83":230},"

Verdadeiro, falso, verdadeiro

",{"_43":232,"_81":202,"_83":233},"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?

",[210],{"_40":238,"_42":41,"_43":239,"_77":240,"_85":255,"_86":256,"_51":257},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[241,244,247,249,252],{"_43":242,"_81":82,"_83":243},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_43":245,"_81":194,"_83":246},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_43":238,"_81":198,"_83":248},"Indeterminado",{"_43":250,"_81":202,"_83":251},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_43":253,"_81":205,"_83":254},"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????",[210],[210,259,268,274,278,279,280,288,293,301,302,307,313],{"_43":260,"_57":261,"_59":262,"_134":135,"_136":263,"_107":151,"_109":151,"_45":264,"_111":267},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_139":265,"_141":142,"_143":266},5,30614,"engenharia-mecatronica-1",{"_43":269,"_57":58,"_59":60,"_134":135,"_136":270,"_107":271,"_109":271,"_45":272,"_111":273},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_139":142,"_141":142,"_143":161},"resistencia-dos-materiais-6",{"_43":270,"_57":149,"_59":150,"_134":135,"_136":260,"_107":215,"_109":215,"_45":275,"_111":277},{"_139":265,"_141":142,"_143":276},25741,"mecanica-3",{"_43":131,"_57":132,"_59":133,"_134":135,"_136":-5,"_107":137,"_109":137,"_45":138,"_111":133},{"_43":158,"_57":58,"_59":60,"_134":135,"_136":148,"_107":159,"_109":159,"_45":160,"_111":162},{"_43":281,"_57":282,"_59":283,"_134":135,"_136":263,"_107":151,"_109":151,"_45":284,"_111":287},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_139":285,"_141":142,"_143":286},21,45865,"engenharia-civil-3",{"_43":214,"_57":289,"_59":290,"_134":135,"_136":263,"_107":151,"_109":151,"_45":291,"_111":292},"Engenharia de Petróleo","engenharia-de-petroleo",{"_139":265,"_141":142,"_143":218},"engenharia-de-petroleo-1",{"_43":294,"_57":295,"_59":296,"_134":135,"_136":281,"_107":297,"_109":297,"_45":298,"_111":300},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_139":265,"_141":142,"_143":299},8852,"estruturas-1",{"_43":148,"_57":149,"_59":150,"_134":135,"_136":131,"_107":151,"_109":151,"_45":152,"_111":155},{"_43":303,"_57":58,"_59":60,"_134":135,"_136":211,"_107":304,"_109":304,"_45":305,"_111":306},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_139":142,"_141":142,"_143":161},"resistencia-dos-materiais-7",{"_43":308,"_57":309,"_59":60,"_134":135,"_136":294,"_107":310,"_109":310,"_45":311,"_111":312},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_139":142,"_141":142,"_143":161},"resistencia-dos-materiais-5",{"_43":263,"_57":314,"_59":315,"_134":135,"_136":-5,"_107":316,"_109":316,"_45":317,"_111":315},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_139":318,"_141":142,"_143":319},29,351586,"tagsTree",[130,322],{"_43":263,"_57":314,"_59":315,"_134":135,"_136":-5,"_107":316,"_109":316,"_45":317,"_111":315,"_145":323},[324,330,336],{"_43":260,"_57":261,"_59":262,"_134":135,"_136":263,"_107":151,"_109":151,"_45":264,"_111":267,"_145":325},[326],{"_43":270,"_57":149,"_59":150,"_134":135,"_136":260,"_107":215,"_109":215,"_45":275,"_111":277,"_145":327},[328],{"_43":269,"_57":58,"_59":60,"_134":135,"_136":270,"_107":271,"_109":271,"_45":272,"_111":273,"_145":329},[],{"_43":281,"_57":282,"_59":283,"_134":135,"_136":263,"_107":151,"_109":151,"_45":284,"_111":287,"_145":331},[332],{"_43":294,"_57":295,"_59":296,"_134":135,"_136":281,"_107":297,"_109":297,"_45":298,"_111":300,"_145":333},[334],{"_43":308,"_57":309,"_59":60,"_134":135,"_136":294,"_107":310,"_109":310,"_45":311,"_111":312,"_145":335},[],{"_43":214,"_57":289,"_59":290,"_134":135,"_136":263,"_107":151,"_109":151,"_45":291,"_111":292,"_145":337},[338],{"_43":211,"_57":212,"_59":213,"_134":135,"_136":214,"_107":215,"_109":215,"_45":216,"_111":213,"_145":339},[340],{"_43":303,"_57":58,"_59":60,"_134":135,"_136":211,"_107":304,"_109":304,"_45":305,"_111":306,"_145":341},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários