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Qual das afirmações sobre o critério de Tresca é verdadeira?

","status","pending_classification","hasRelatedVideo","relatedVideos",[124],{"_125":126,"_144":145,"_51":160,"_195":196,"_213":214},"content",{"_43":127,"_55":128,"_129":-5,"_130":131,"_132":133,"_134":-5,"_45":135,"_138":139,"_140":139,"_141":-5,"_142":143},"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",{"_136":137},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_146":147,"_153":154,"_155":156,"_157":158,"_28":159},"provider",{"_43":148,"_149":150,"_151":152},"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",[161],{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":169,"_142":164,"_176":177},"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",{"_170":171,"_172":173,"_174":175},"childrenCount",18,"content_count",0,"question_count",135489,"children",[178],{"_43":179,"_55":180,"_57":181,"_165":166,"_167":162,"_138":182,"_140":182,"_45":183,"_142":186,"_176":187},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_170":184,"_172":173,"_174":185},10,19948,"mecanica-2",[188],{"_43":189,"_55":79,"_57":62,"_165":166,"_167":179,"_138":190,"_140":190,"_45":191,"_142":193,"_176":194},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_170":173,"_172":173,"_174":192},3376,"resistencia-dos-materiais-4",[],"video",{"_43":133,"_13":128,"_129":-5,"_197":198,"_199":200,"_28":-5,"_201":-5,"_146":200,"_202":203,"_157":-5,"_204":-5,"_205":-5,"_206":-5,"_207":-5,"_45":208,"_209":173,"_210":-5,"_119":211,"_138":212,"_140":212},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_136":137},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag",{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":215,"_142":164,"_176":216},{"_170":171,"_172":173,"_174":175},[217],{"_43":179,"_55":180,"_57":181,"_165":166,"_167":162,"_138":182,"_140":182,"_45":218,"_142":186,"_176":219},{"_170":184,"_172":173,"_174":185},[220],{"_43":189,"_55":79,"_57":62,"_165":166,"_167":179,"_138":190,"_140":190,"_45":221,"_142":193,"_176":222},{"_170":173,"_172":173,"_174":192},[],"similarQuestions",[225,256,276],{"_40":226,"_42":41,"_43":227,"_96":228,"_116":244,"_117":245,"_51":246},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[229,232,235,238,241],{"_43":230,"_100":101,"_102":231},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":233,"_100":106,"_102":234},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":236,"_100":110,"_102":237},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":239,"_100":114,"_102":240},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":226,"_100":242,"_102":243},"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

",[247],{"_43":248,"_55":249,"_57":250,"_165":166,"_167":251,"_138":252,"_140":252,"_45":253,"_142":250},"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",{"_170":254,"_172":173,"_174":255},4,12302,{"_40":257,"_42":41,"_43":258,"_96":259,"_116":271,"_117":272,"_51":273},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[260,263,266,268],{"_43":261,"_100":101,"_102":262},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":264,"_100":106,"_102":265},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":257,"_100":110,"_102":267},"

Verdadeiro, falso, verdadeiro

",{"_43":269,"_100":114,"_102":270},"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????",[297],{"_43":248,"_55":249,"_57":250,"_165":166,"_167":251,"_138":252,"_140":252,"_45":298,"_142":250},{"_170":254,"_172":173,"_174":255},[300,302,311,317,321,323,325,333,338,346,348,353,359],{"_43":248,"_55":249,"_57":250,"_165":166,"_167":251,"_138":252,"_140":252,"_45":301,"_142":250},{"_170":254,"_172":173,"_174":255},{"_43":303,"_55":304,"_57":305,"_165":166,"_167":306,"_138":182,"_140":182,"_45":307,"_142":310},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_170":308,"_172":173,"_174":309},5,30614,"engenharia-mecatronica-1",{"_43":312,"_55":79,"_57":62,"_165":166,"_167":313,"_138":314,"_140":314,"_45":315,"_142":316},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_170":173,"_172":173,"_174":192},"resistencia-dos-materiais-6",{"_43":313,"_55":180,"_57":181,"_165":166,"_167":303,"_138":252,"_140":252,"_45":318,"_142":320},{"_170":308,"_172":173,"_174":319},25741,"mecanica-3",{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":322,"_142":164},{"_170":171,"_172":173,"_174":175},{"_43":189,"_55":79,"_57":62,"_165":166,"_167":179,"_138":190,"_140":190,"_45":324,"_142":193},{"_170":173,"_172":173,"_174":192},{"_43":326,"_55":327,"_57":328,"_165":166,"_167":306,"_138":182,"_140":182,"_45":329,"_142":332},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_170":330,"_172":173,"_174":331},21,45865,"engenharia-civil-3",{"_43":251,"_55":334,"_57":335,"_165":166,"_167":306,"_138":182,"_140":182,"_45":336,"_142":337},"Engenharia de Petróleo","engenharia-de-petroleo",{"_170":308,"_172":173,"_174":255},"engenharia-de-petroleo-1",{"_43":339,"_55":340,"_57":341,"_165":166,"_167":326,"_138":342,"_140":342,"_45":343,"_142":345},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_170":308,"_172":173,"_174":344},8852,"estruturas-1",{"_43":179,"_55":180,"_57":181,"_165":166,"_167":162,"_138":182,"_140":182,"_45":347,"_142":186},{"_170":184,"_172":173,"_174":185},{"_43":349,"_55":79,"_57":62,"_165":166,"_167":248,"_138":350,"_140":350,"_45":351,"_142":352},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_170":173,"_172":173,"_174":192},"resistencia-dos-materiais-7",{"_43":354,"_55":355,"_57":62,"_165":166,"_167":339,"_138":356,"_140":356,"_45":357,"_142":358},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_170":173,"_172":173,"_174":192},"resistencia-dos-materiais-5",{"_43":306,"_55":360,"_57":361,"_165":166,"_167":-5,"_138":362,"_140":362,"_45":363,"_142":361},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_170":364,"_172":173,"_174":365},29,351586,"tagsTree",[368,377],{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":369,"_142":164,"_176":370},{"_170":171,"_172":173,"_174":175},[371],{"_43":179,"_55":180,"_57":181,"_165":166,"_167":162,"_138":182,"_140":182,"_45":372,"_142":186,"_176":373},{"_170":184,"_172":173,"_174":185},[374],{"_43":189,"_55":79,"_57":62,"_165":166,"_167":179,"_138":190,"_140":190,"_45":375,"_142":193,"_176":376},{"_170":173,"_172":173,"_174":192},[],{"_43":306,"_55":360,"_57":361,"_165":166,"_167":-5,"_138":362,"_140":362,"_45":378,"_142":361,"_176":379},{"_170":364,"_172":173,"_174":365},[380,389,398],{"_43":303,"_55":304,"_57":305,"_165":166,"_167":306,"_138":182,"_140":182,"_45":381,"_142":310,"_176":382},{"_170":308,"_172":173,"_174":309},[383],{"_43":313,"_55":180,"_57":181,"_165":166,"_167":303,"_138":252,"_140":252,"_45":384,"_142":320,"_176":385},{"_170":308,"_172":173,"_174":319},[386],{"_43":312,"_55":79,"_57":62,"_165":166,"_167":313,"_138":314,"_140":314,"_45":387,"_142":316,"_176":388},{"_170":173,"_172":173,"_174":192},[],{"_43":326,"_55":327,"_57":328,"_165":166,"_167":306,"_138":182,"_140":182,"_45":390,"_142":332,"_176":391},{"_170":330,"_172":173,"_174":331},[392],{"_43":339,"_55":340,"_57":341,"_165":166,"_167":326,"_138":342,"_140":342,"_45":393,"_142":345,"_176":394},{"_170":308,"_172":173,"_174":344},[395],{"_43":354,"_55":355,"_57":62,"_165":166,"_167":339,"_138":356,"_140":356,"_45":396,"_142":358,"_176":397},{"_170":173,"_172":173,"_174":192},[],{"_43":251,"_55":334,"_57":335,"_165":166,"_167":306,"_138":182,"_140":182,"_45":399,"_142":337,"_176":400},{"_170":308,"_172":173,"_174":255},[401],{"_43":248,"_55":249,"_57":250,"_165":166,"_167":251,"_138":252,"_140":252,"_45":402,"_142":250,"_176":403},{"_170":254,"_172":173,"_174":255},[404],{"_43":349,"_55":79,"_57":62,"_165":166,"_167":248,"_138":350,"_140":350,"_45":405,"_142":352,"_176":406},{"_170":173,"_172":173,"_174":192},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários