[{"_1":2,"_260":-5,"_261":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/c92e7d48-e377-4006-a230-7ae7500c3df4","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_46":47,"_106":107,"_84":244,"_245":246,"_256":257,"_258":259},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":19,"_20":21,"_22":23,"_41":19,"_42":43,"_44":45},"correctOptionId","550022fb-e86a-401b-a34f-e65cedf40dd3","difficulty","","id","c92e7d48-e377-4006-a230-7ae7500c3df4","options",[24,30,33,37],{"_20":25,"_26":27,"_28":29},"486f47ca-bf6f-4693-9ca5-7ddb60104b40","label","A","text","

Um material que se quebra facilmente

",{"_20":17,"_26":31,"_28":32},"B","

Um material que pode ser deformado plasticamente sem se romper

",{"_20":34,"_26":35,"_28":36},"98744ce9-8e2b-48e2-849a-7d7de02e4d10","C","

Um material que não pode ser moldado

",{"_20":38,"_26":39,"_28":40},"c1531ec4-6f21-4ccc-a8db-aebebefe085c","D","

Um material que ignora as forças aplicadas

","solution_explanation","statement","

Qual é a definição de um material ductil?

","status","has_issues","relatedVideos",[48],{"_49":50,"_68":69,"_84":85,"_86":87},"content",{"_20":51,"_52":53,"_54":-5,"_55":56,"_57":58,"_59":-5,"_60":61,"_64":65,"_66":65,"_67":-5},"7efae94a-87df-415d-b113-35cde21868f7","name","Resolução CN nº 01-2006 - Parte 2","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","d828a77d-5461-4d28-bb74-cccf85af393a","user_id","metadata",{"_62":63},"external_id","4372","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","prometheusData",{"_70":71,"_77":78,"_79":80,"_81":82,"_5":83},"provider",{"_20":72,"_73":74,"_75":76},"d6d15d4b-87f1-4181-b20a-19190395ac14","key","grupo_q_cloudflare_stream","kind","cloudflare_stream","reference","9817a7c88778a464d2c96c30e3553e5d","state","completed","thumbnail_url","https://videodelivery.net/eyJraWQiOiIzNDIwNjA3YjJiNTVjMjc2ZTVhNmE1NzYzMGRkNDlhYyIsImFsZyI6IlJTMjU2In0.eyJzdWIiOiI5ODE3YTdjODg3NzhhNDY0ZDJjOTZjMzBlMzU1M2U1ZCIsImtpZCI6IjM0MjA2MDdiMmI1NWMyNzZlNWE2YTU3NjMwZGQ0OWFjIiwiZXhwIjoxNzU1Nzk1OTAyfQ.dM8W2CMwwJThudU_l0Lklf0UFUhsnQG1yjB2qhCDPGjtI0v8tPtWNU3DZxyT5-dcTUDD6nECbw-KwJDtfv6exBxugJW1-De0HQOWoObkqqylIg3SVnK_Yte_019eVIDRjTQCsK8PqKjTdpcmP2LK2Cniv-ug4OWEQpzscaKTaNoyYMjSEUb7HFlusZg7wt-GAGSkhLV344HPz1_rhz-DZJ6WwneE9hPCe3fSw11oYjIVVp8wI1h4icz6OlOL5jRTvW4Ou6FtfesST-ns5xUMpQK7yZjuQ3Rny7D-eAO4st7MnRPk2b9LhsucrzK9RhT_lGu9yKtOaGANl4FiApdTTA/thumbnails/thumbnail.jpg?time=10s&height=360","https://customer-356s6wt60g79gz5u.cloudflarestream.com/eyJraWQiOiIzNDIwNjA3YjJiNTVjMjc2ZTVhNmE1NzYzMGRkNDlhYyIsImFsZyI6IlJTMjU2In0.eyJzdWIiOiI5ODE3YTdjODg3NzhhNDY0ZDJjOTZjMzBlMzU1M2U1ZCIsImtpZCI6IjM0MjA2MDdiMmI1NWMyNzZlNWE2YTU3NjMwZGQ0OWFjIiwiZXhwIjoxNzU1Nzk1OTAyfQ.dM8W2CMwwJThudU_l0Lklf0UFUhsnQG1yjB2qhCDPGjtI0v8tPtWNU3DZxyT5-dcTUDD6nECbw-KwJDtfv6exBxugJW1-De0HQOWoObkqqylIg3SVnK_Yte_019eVIDRjTQCsK8PqKjTdpcmP2LK2Cniv-ug4OWEQpzscaKTaNoyYMjSEUb7HFlusZg7wt-GAGSkhLV344HPz1_rhz-DZJ6WwneE9hPCe3fSw11oYjIVVp8wI1h4icz6OlOL5jRTvW4Ou6FtfesST-ns5xUMpQK7yZjuQ3Rny7D-eAO4st7MnRPk2b9LhsucrzK9RhT_lGu9yKtOaGANl4FiApdTTA/manifest/video.m3u8","tags",[],"video",{"_20":58,"_88":53,"_54":-5,"_89":90,"_91":92,"_5":-5,"_93":-5,"_70":92,"_94":95,"_81":-5,"_96":-5,"_97":-5,"_98":-5,"_99":-5,"_60":100,"_101":102,"_103":-5,"_44":104,"_64":105,"_66":105},"title","duration",26,"source_type","prometheus","iframe_url","provider_video_id","6a087125-b0a0-4029-8b10-ba7086758d14","format","quality","file_path","file_size",{"_62":63},"views_count",0,"last_played_at","draft","2025-08-19T11:56:16.720338+00:00","similarQuestions",[108,170,187,204,224],{"_16":19,"_18":19,"_20":109,"_22":110,"_41":19,"_42":127,"_84":128},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[111,114,117,120,123],{"_20":112,"_26":27,"_28":113},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_20":115,"_26":31,"_28":116},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_20":118,"_26":35,"_28":119},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_20":121,"_26":39,"_28":122},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_20":124,"_26":125,"_28":126},"112831da-be9c-458e-94cb-e8292d0dba12","E","y'' - 2y' + 6y = 0","

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

",[129,147,156,163],{"_20":130,"_52":131,"_132":133,"_134":135,"_136":137,"_64":138,"_66":138,"_60":139,"_145":146},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","alias","engenharia-civil","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_140":141,"_142":102,"_143":144},"childrenCount",21,"content_count","question_count",45865,"slug","engenharia-civil-3",{"_20":148,"_52":149,"_132":150,"_134":135,"_136":130,"_64":151,"_66":151,"_60":152,"_145":155},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_140":153,"_142":102,"_143":154},5,8852,"estruturas-1",{"_20":157,"_52":158,"_132":159,"_134":135,"_136":148,"_64":160,"_66":160,"_60":161,"_145":159},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_140":102,"_142":102,"_143":162},4694,{"_20":137,"_52":164,"_132":165,"_134":135,"_136":-5,"_64":166,"_66":166,"_60":167,"_145":165},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_140":168,"_142":102,"_143":169},29,351586,{"_16":19,"_18":19,"_20":171,"_22":172,"_41":19,"_42":185,"_84":186},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[173,176,179,182],{"_20":174,"_26":27,"_28":175},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":177,"_26":31,"_28":178},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":180,"_26":35,"_28":181},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":183,"_26":39,"_28":184},"1f5e395b-c362-4503-8261-dcfcae96b1ce","Falso, verdadero, verdadeiro, verdadeiro.","

Divide el polinomio p(x) = 3x^4 + 4x^3 + x^2 entre el polinomio q(x) = 2+x. Como el polinomio divisor, q(x), es de grado 2, debemos encontrar dos polinomios, un polinomio cociente (c(x)) y un polinomio resto (r(x)) de grado 1 o 0, tales que p(x) = q(x) * c(x) + r(x).

El polinomio p(x) es de grado 4.

El polinomio q(x) es de grado 1.

El polinomio cociente c(x) es de grado 2.

El polinomio resto r(x) es de grado 1 o 0.

",[129,147,156,163],{"_16":19,"_18":19,"_20":188,"_22":189,"_41":19,"_42":202,"_84":203},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[190,193,196,199],{"_20":191,"_26":27,"_28":192},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":194,"_26":31,"_28":195},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":197,"_26":35,"_28":198},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":200,"_26":39,"_28":201},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

",[129,147,156,163],{"_16":19,"_18":19,"_20":205,"_22":206,"_41":19,"_42":222,"_84":223},"996628fc-4ac3-4821-86bd-839f86a97a6d",[207,210,213,216,219],{"_20":208,"_26":27,"_28":209},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_20":211,"_26":31,"_28":212},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_20":214,"_26":35,"_28":215},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_20":217,"_26":39,"_28":218},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_20":220,"_26":125,"_28":221},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[129,147,156,163],{"_16":19,"_18":19,"_20":225,"_22":226,"_41":19,"_42":242,"_84":243},"c478a46c-46a8-4942-ae14-2e79def3dda2",[227,230,233,236,239],{"_20":228,"_26":27,"_28":229},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_20":231,"_26":31,"_28":232},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_20":234,"_26":35,"_28":235},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_20":237,"_26":39,"_28":238},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_20":240,"_26":125,"_28":241},"2e06d948-d37e-4350-afc7-ced04941bcaf","Nenhum","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????",[129,147,156,163],[129,147,156,163],"tagsTree",[247],{"_20":137,"_52":164,"_132":165,"_134":135,"_136":-5,"_64":166,"_66":166,"_60":167,"_145":165,"_248":249},"children",[250],{"_20":130,"_52":131,"_132":133,"_134":135,"_136":137,"_64":138,"_66":138,"_60":139,"_145":146,"_248":251},[252],{"_20":148,"_52":149,"_132":150,"_134":135,"_136":130,"_64":151,"_66":151,"_60":152,"_145":155,"_248":253},[254],{"_20":157,"_52":158,"_132":159,"_134":135,"_136":148,"_64":160,"_66":160,"_60":161,"_145":159,"_248":255},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

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