[{"_1":2,"_196":-5,"_197":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/f497b01b-2362-414c-8fe6-b003408bf545","user","pages/questions/show/index",{"_10":11,"_12":13,"_36":37,"_38":39,"_62":184,"_185":186},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_31":15,"_32":33,"_34":35},"correctOptionId","","difficulty","id","f497b01b-2362-414c-8fe6-b003408bf545","options",[21,27],{"_17":22,"_23":24,"_25":26},"73694114-49b7-4e27-b184-a54e7f41e6ab","label","A","text","Verdadeiro",{"_17":28,"_23":29,"_25":30},"6ca1f5e6-ec77-4267-acc8-fdeb129736bd","B","Falso","solution_explanation","statement","

Material dúctil é aquele que apresenta pequenas deformações antes de se romper (aço e alumínio, por exemplo), enquanto que frágil é aquele que se deforma muito antes de se romper (ferro fundido e por exemplo). Escolha uma opção:

","status","has_issues","relatedVideos",[],"similarQuestions",[40,110,127,144,164],{"_14":15,"_16":15,"_17":41,"_19":42,"_31":15,"_32":61,"_62":63},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[43,46,49,53,57],{"_17":44,"_23":24,"_25":45},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_17":47,"_23":29,"_25":48},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_17":50,"_23":51,"_25":52},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_17":54,"_23":55,"_25":56},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_17":58,"_23":59,"_25":60},"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",[64,87,96,103],{"_17":65,"_66":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":75,"_77":78,"_85":86},"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",{"_79":80,"_81":82,"_83":84},"childrenCount",21,"content_count",0,"question_count",45865,"slug","engenharia-civil-3",{"_17":88,"_66":89,"_68":90,"_70":71,"_72":65,"_74":91,"_76":91,"_77":92,"_85":95},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_79":93,"_81":82,"_83":94},5,8852,"estruturas-1",{"_17":97,"_66":98,"_68":99,"_70":71,"_72":88,"_74":100,"_76":100,"_77":101,"_85":99},"e9d666f5-dcb8-4aa3-abc7-27cfb929e3b6","Análise Estrutural","analise-estrutural","2025-04-29T04:00:06.9766+00:00",{"_79":82,"_81":82,"_83":102},4694,{"_17":73,"_66":104,"_68":105,"_70":71,"_72":-5,"_74":106,"_76":106,"_77":107,"_85":105},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_79":108,"_81":82,"_83":109},29,351586,{"_14":15,"_16":15,"_17":111,"_19":112,"_31":15,"_32":125,"_62":126},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[113,116,119,122],{"_17":114,"_23":24,"_25":115},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":117,"_23":29,"_25":118},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":120,"_23":51,"_25":121},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":123,"_23":55,"_25":124},"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.

",[64,87,96,103],{"_14":15,"_16":15,"_17":128,"_19":129,"_31":15,"_32":142,"_62":143},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[130,133,136,139],{"_17":131,"_23":24,"_25":132},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":134,"_23":29,"_25":135},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":137,"_23":51,"_25":138},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":140,"_23":55,"_25":141},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[64,87,96,103],{"_14":15,"_16":15,"_17":145,"_19":146,"_31":15,"_32":162,"_62":163},"996628fc-4ac3-4821-86bd-839f86a97a6d",[147,150,153,156,159],{"_17":148,"_23":24,"_25":149},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":151,"_23":29,"_25":152},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":154,"_23":51,"_25":155},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":157,"_23":55,"_25":158},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":160,"_23":59,"_25":161},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[64,87,96,103],{"_14":15,"_16":15,"_17":165,"_19":166,"_31":15,"_32":182,"_62":183},"c478a46c-46a8-4942-ae14-2e79def3dda2",[167,170,173,176,179],{"_17":168,"_23":24,"_25":169},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":171,"_23":29,"_25":172},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":174,"_23":51,"_25":175},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":177,"_23":55,"_25":178},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":180,"_23":59,"_25":181},"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????",[64,87,96,103],[64,87,96,103],"tagsTree",[187],{"_17":73,"_66":104,"_68":105,"_70":71,"_72":-5,"_74":106,"_76":106,"_77":107,"_85":105,"_188":189},"children",[190],{"_17":65,"_66":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":75,"_77":78,"_85":86,"_188":191},[192],{"_17":88,"_66":89,"_68":90,"_70":71,"_72":65,"_74":91,"_76":91,"_77":92,"_85":95,"_188":193},[194],{"_17":97,"_66":98,"_68":99,"_70":71,"_72":88,"_74":100,"_76":100,"_77":101,"_85":99,"_188":195},[],"actionData","errors"]

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