[{"_1":2,"_251":-5,"_252":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/c89faac6-52a3-4481-9255-eb3d665ee57f","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_34":35,"_94":95,"_72":235,"_236":237,"_247":248,"_249":250},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":17,"_19":20,"_21":22,"_29":17,"_30":31,"_32":33},"correctOptionId","","difficulty","id","c89faac6-52a3-4481-9255-eb3d665ee57f","options",[23],{"_19":24,"_25":26,"_27":28},"71883d35-0c06-4c32-8fae-5f9350f5c27c","label","A","text","B17,5 \text{kNm} e 110,0 \text{kNm}","solution_explanation","statement","

Para a viga abaixo pela Equação dos 3 momentos deve-se obter os fatores de carga das barras. Para barra 23 quais os valores do fatores de carga E e D respectivamente, considere que o momento concentrado de 70 \text{kNm} nesta barra (EI-módulo de elasticidade x I-momento de inércia):

","status","has_issues","relatedVideos",[36],{"_37":38,"_56":57,"_72":73,"_74":75},"content",{"_19":39,"_40":41,"_42":-5,"_43":44,"_45":46,"_47":-5,"_48":49,"_52":53,"_54":53,"_55":-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",{"_50":51},"external_id","4372","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","prometheusData",{"_58":59,"_65":66,"_67":68,"_69":70,"_5":71},"provider",{"_19":60,"_61":62,"_63":64},"d6d15d4b-87f1-4181-b20a-19190395ac14","key","grupo_q_cloudflare_stream","kind","cloudflare_stream","reference","9817a7c88778a464d2c96c30e3553e5d","state","completed","thumbnail_url","https://videodelivery.net/eyJraWQiOiIzNDIwNjA3YjJiNTVjMjc2ZTVhNmE1NzYzMGRkNDlhYyIsImFsZyI6IlJTMjU2In0.eyJzdWIiOiI5ODE3YTdjODg3NzhhNDY0ZDJjOTZjMzBlMzU1M2U1ZCIsImtpZCI6IjM0MjA2MDdiMmI1NWMyNzZlNWE2YTU3NjMwZGQ0OWFjIiwiZXhwIjoxNzU1ODA0Njg0fQ.iTfqKLVFSHa4B73D1e9t5WYeS8bIB2MTV9EpOhveMNjxddGjXGkfpYwn_PVZEyGnKf2X31zNIjfOjf9x3bjnqxl903cvzXua04ol2A4xZOZyY83gJAL2ssTVBsFlVDcPWsc1err7ZMxa_BPYS7WbgBdi3aoWAKXBBmYn3Erg_5NqMTrLOVJy4D3DvrqBHjQMUQaim1ouMaTNnhKWJZa066RNQUdKMJ6LfBZ3GQnNZAW2xHO_3jgAOjAeTQT43xMo6RyFYwZjM-BRqvPJyCvwiPjK4LGV89EuUgbcggFIvvCawpaLBHWyYvnKQ4Bd8CJknfkzwGvUbOBbgTgQ6pKuug/thumbnails/thumbnail.jpg?time=10s&height=360","https://customer-356s6wt60g79gz5u.cloudflarestream.com/eyJraWQiOiIzNDIwNjA3YjJiNTVjMjc2ZTVhNmE1NzYzMGRkNDlhYyIsImFsZyI6IlJTMjU2In0.eyJzdWIiOiI5ODE3YTdjODg3NzhhNDY0ZDJjOTZjMzBlMzU1M2U1ZCIsImtpZCI6IjM0MjA2MDdiMmI1NWMyNzZlNWE2YTU3NjMwZGQ0OWFjIiwiZXhwIjoxNzU1ODA0Njg0fQ.iTfqKLVFSHa4B73D1e9t5WYeS8bIB2MTV9EpOhveMNjxddGjXGkfpYwn_PVZEyGnKf2X31zNIjfOjf9x3bjnqxl903cvzXua04ol2A4xZOZyY83gJAL2ssTVBsFlVDcPWsc1err7ZMxa_BPYS7WbgBdi3aoWAKXBBmYn3Erg_5NqMTrLOVJy4D3DvrqBHjQMUQaim1ouMaTNnhKWJZa066RNQUdKMJ6LfBZ3GQnNZAW2xHO_3jgAOjAeTQT43xMo6RyFYwZjM-BRqvPJyCvwiPjK4LGV89EuUgbcggFIvvCawpaLBHWyYvnKQ4Bd8CJknfkzwGvUbOBbgTgQ6pKuug/manifest/video.m3u8","tags",[],"video",{"_19":46,"_76":41,"_42":-5,"_77":78,"_79":80,"_5":-5,"_81":-5,"_58":80,"_82":83,"_69":-5,"_84":-5,"_85":-5,"_86":-5,"_87":-5,"_48":88,"_89":90,"_91":-5,"_32":92,"_52":93,"_54":93},"title","duration",26,"source_type","prometheus","iframe_url","provider_video_id","6a087125-b0a0-4029-8b10-ba7086758d14","format","quality","file_path","file_size",{"_50":51},"views_count",0,"last_played_at","draft","2025-08-19T11:56:16.720338+00:00","similarQuestions",[96,161,178,195,215],{"_16":17,"_18":17,"_19":97,"_21":98,"_29":17,"_30":118,"_72":119},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[99,102,106,110,114],{"_19":100,"_25":26,"_27":101},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_19":103,"_25":104,"_27":105},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_19":107,"_25":108,"_27":109},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_19":111,"_25":112,"_27":113},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_19":115,"_25":116,"_27":117},"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

",[120,138,147,154],{"_19":121,"_40":122,"_123":124,"_125":126,"_127":128,"_52":129,"_54":129,"_48":130,"_136":137},"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",{"_131":132,"_133":90,"_134":135},"childrenCount",21,"content_count","question_count",45865,"slug","engenharia-civil-3",{"_19":139,"_40":140,"_123":141,"_125":126,"_127":121,"_52":142,"_54":142,"_48":143,"_136":146},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_131":144,"_133":90,"_134":145},5,8852,"estruturas-1",{"_19":148,"_40":149,"_123":150,"_125":126,"_127":139,"_52":151,"_54":151,"_48":152,"_136":150},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_131":90,"_133":90,"_134":153},4694,{"_19":128,"_40":155,"_123":156,"_125":126,"_127":-5,"_52":157,"_54":157,"_48":158,"_136":156},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_131":159,"_133":90,"_134":160},29,351586,{"_16":17,"_18":17,"_19":162,"_21":163,"_29":17,"_30":176,"_72":177},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[164,167,170,173],{"_19":165,"_25":26,"_27":166},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_19":168,"_25":104,"_27":169},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_19":171,"_25":108,"_27":172},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_19":174,"_25":112,"_27":175},"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.

",[120,138,147,154],{"_16":17,"_18":17,"_19":179,"_21":180,"_29":17,"_30":193,"_72":194},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[181,184,187,190],{"_19":182,"_25":26,"_27":183},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_19":185,"_25":104,"_27":186},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_19":188,"_25":108,"_27":189},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_19":191,"_25":112,"_27":192},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[120,138,147,154],{"_16":17,"_18":17,"_19":196,"_21":197,"_29":17,"_30":213,"_72":214},"996628fc-4ac3-4821-86bd-839f86a97a6d",[198,201,204,207,210],{"_19":199,"_25":26,"_27":200},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_19":202,"_25":104,"_27":203},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_19":205,"_25":108,"_27":206},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_19":208,"_25":112,"_27":209},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_19":211,"_25":116,"_27":212},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[120,138,147,154],{"_16":17,"_18":17,"_19":216,"_21":217,"_29":17,"_30":233,"_72":234},"c478a46c-46a8-4942-ae14-2e79def3dda2",[218,221,224,227,230],{"_19":219,"_25":26,"_27":220},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_19":222,"_25":104,"_27":223},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_19":225,"_25":108,"_27":226},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_19":228,"_25":112,"_27":229},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_19":231,"_25":116,"_27":232},"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????",[120,138,147,154],[120,138,147,154],"tagsTree",[238],{"_19":128,"_40":155,"_123":156,"_125":126,"_127":-5,"_52":157,"_54":157,"_48":158,"_136":156,"_239":240},"children",[241],{"_19":121,"_40":122,"_123":124,"_125":126,"_127":128,"_52":129,"_54":129,"_48":130,"_136":137,"_239":242},[243],{"_19":139,"_40":140,"_123":141,"_125":126,"_127":121,"_52":142,"_54":142,"_48":143,"_136":146,"_239":244},[245],{"_19":148,"_40":149,"_123":150,"_125":126,"_127":139,"_52":151,"_54":151,"_48":152,"_136":150,"_239":246},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

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