[{"_1":2,"_200":-5,"_201":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/d82f3a6e-0132-4d9d-9811-f57e0bfd8388","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_42":43,"_44":45,"_66":188,"_189":190},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":19,"_20":21,"_22":23,"_37":19,"_38":39,"_40":41},"correctOptionId","345b6430-eaec-47c7-8dfa-943cdcbf5014","difficulty","","id","d82f3a6e-0132-4d9d-9811-f57e0bfd8388","options",[24,28,31,34],{"_20":17,"_25":26,"_27":26},"label","A","text",{"_20":29,"_25":30,"_27":30},"fc3be161-843e-43c2-8823-a60bf110e780","B",{"_20":32,"_25":33,"_27":33},"667bee28-7515-4a6c-8436-ab3609302957","C",{"_20":35,"_25":36,"_27":36},"84cb3eb5-c110-4bcf-9e88-6703ee955b1b","D","solution_explanation","statement","

Sobre a flexibilidade nas estruturas, assinale a alternativa:

A construção da matriz de flexibilidade, representada como F, corresponde às deformações independentes causadas pelo esforço independente unitário.

","status","pending_classification","relatedVideos",[],"similarQuestions",[46,114,131,148,168],{"_16":19,"_18":19,"_20":47,"_22":48,"_37":19,"_38":65,"_66":67},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[49,52,55,58,61],{"_20":50,"_25":26,"_27":51},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_20":53,"_25":30,"_27":54},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_20":56,"_25":33,"_27":57},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_20":59,"_25":36,"_27":60},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_20":62,"_25":63,"_27":64},"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

","tags",[68,91,100,107],{"_20":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":79,"_81":82,"_89":90},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","name","Engenharia Civil","alias","engenharia-civil","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","eb9315c5-bd04-4116-aa46-02c4fde320c0","created_at","2025-04-29T02:19:12.828432+00:00","updated_at","metadata",{"_83":84,"_85":86,"_87":88},"childrenCount",21,"content_count",0,"question_count",45865,"slug","engenharia-civil-3",{"_20":92,"_70":93,"_72":94,"_74":75,"_76":69,"_78":95,"_80":95,"_81":96,"_89":99},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_83":97,"_85":86,"_87":98},5,8852,"estruturas-1",{"_20":101,"_70":102,"_72":103,"_74":75,"_76":92,"_78":104,"_80":104,"_81":105,"_89":103},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_83":86,"_85":86,"_87":106},4694,{"_20":77,"_70":108,"_72":109,"_74":75,"_76":-5,"_78":110,"_80":110,"_81":111,"_89":109},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_83":112,"_85":86,"_87":113},29,351586,{"_16":19,"_18":19,"_20":115,"_22":116,"_37":19,"_38":129,"_66":130},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[117,120,123,126],{"_20":118,"_25":26,"_27":119},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":121,"_25":30,"_27":122},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":124,"_25":33,"_27":125},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":127,"_25":36,"_27":128},"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.

",[68,91,100,107],{"_16":19,"_18":19,"_20":132,"_22":133,"_37":19,"_38":146,"_66":147},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[134,137,140,143],{"_20":135,"_25":26,"_27":136},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":138,"_25":30,"_27":139},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":141,"_25":33,"_27":142},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":144,"_25":36,"_27":145},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[68,91,100,107],{"_16":19,"_18":19,"_20":149,"_22":150,"_37":19,"_38":166,"_66":167},"996628fc-4ac3-4821-86bd-839f86a97a6d",[151,154,157,160,163],{"_20":152,"_25":26,"_27":153},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_20":155,"_25":30,"_27":156},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_20":158,"_25":33,"_27":159},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_20":161,"_25":36,"_27":162},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_20":164,"_25":63,"_27":165},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[68,91,100,107],{"_16":19,"_18":19,"_20":169,"_22":170,"_37":19,"_38":186,"_66":187},"c478a46c-46a8-4942-ae14-2e79def3dda2",[171,174,177,180,183],{"_20":172,"_25":26,"_27":173},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_20":175,"_25":30,"_27":176},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_20":178,"_25":33,"_27":179},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_20":181,"_25":36,"_27":182},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_20":184,"_25":63,"_27":185},"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????",[68,91,100,107],[68,91,100,107],"tagsTree",[191],{"_20":77,"_70":108,"_72":109,"_74":75,"_76":-5,"_78":110,"_80":110,"_81":111,"_89":109,"_192":193},"children",[194],{"_20":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":79,"_81":82,"_89":90,"_192":195},[196],{"_20":92,"_70":93,"_72":94,"_74":75,"_76":69,"_78":95,"_80":95,"_81":96,"_89":99,"_192":197},[198],{"_20":101,"_70":102,"_72":103,"_74":75,"_76":92,"_78":104,"_80":104,"_81":105,"_89":103,"_192":199},[],"actionData","errors"]

Comentários