[{"_1":2,"_199":-5,"_200":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/f98da9ba-a2bb-45b2-bebf-9df4ec47fd8f","user","pages/questions/show/index",{"_10":11,"_12":13,"_30":31,"_32":33,"_57":185,"_186":187},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_27":15,"_28":29},"correctOptionId","","difficulty","id","f98da9ba-a2bb-45b2-bebf-9df4ec47fd8f","options",[21],{"_17":22,"_23":24,"_25":26},"1c22a56b-fa2b-40fe-a0c4-2449a00bed6d","label","A","text","E, A, B, C, A, A, D, A, D, E, B, E, A, C, D, B, D, D, A, E, C, A, D, A, D, C, E, B, D, C, E, B, A, E, C, D, E, B, A, C, E, D, E, A, B, D, A, E, C","solution_explanation","statement","

Qual é a sequência correta de respostas para as questões 037 a 050 para o cargo de AN JUD - ÁREA APOIO ESP - ESP INFORMÁTICA?

","relatedVideos",[],"similarQuestions",[34,111,128,145,165],{"_14":15,"_16":15,"_17":35,"_19":36,"_27":15,"_28":56,"_57":58},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[37,40,44,48,52],{"_17":38,"_23":24,"_25":39},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_17":41,"_23":42,"_25":43},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_17":45,"_23":46,"_25":47},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_17":49,"_23":50,"_25":51},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_17":53,"_23":54,"_25":55},"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",[59,82,90,98,104],{"_17":60,"_61":62,"_63":64,"_65":66,"_67":68,"_69":70,"_71":70,"_72":73,"_80":81},"861ad829-750d-4a44-9569-2f18b430b4df","name","Engenharia Mecatrônica","alias","engenharia-mecatronica","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",{"_74":75,"_76":77,"_78":79},"childrenCount",5,"content_count",0,"question_count",30614,"slug","engenharia-mecatronica-1",{"_17":83,"_61":84,"_63":85,"_65":66,"_67":60,"_69":86,"_71":86,"_72":87,"_80":89},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica","2025-04-29T03:44:35.328997+00:00",{"_74":75,"_76":77,"_78":88},25741,"mecanica-3",{"_17":91,"_61":92,"_63":93,"_65":66,"_67":-5,"_69":94,"_71":94,"_72":95,"_80":93},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_74":96,"_76":77,"_78":97},18,135489,{"_17":99,"_61":84,"_63":85,"_65":66,"_67":91,"_69":70,"_71":70,"_72":100,"_80":103},"ca6fee0e-79c6-4f1c-b500-ee081a071949",{"_74":101,"_76":77,"_78":102},10,19948,"mecanica-2",{"_17":68,"_61":105,"_63":106,"_65":66,"_67":-5,"_69":107,"_71":107,"_72":108,"_80":106},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_74":109,"_76":77,"_78":110},29,351586,{"_14":15,"_16":15,"_17":112,"_19":113,"_27":15,"_28":126,"_57":127},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[114,117,120,123],{"_17":115,"_23":24,"_25":116},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":118,"_23":42,"_25":119},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":121,"_23":46,"_25":122},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":124,"_23":50,"_25":125},"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.

",[59,82,90,98,104],{"_14":15,"_16":15,"_17":129,"_19":130,"_27":15,"_28":143,"_57":144},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[131,134,137,140],{"_17":132,"_23":24,"_25":133},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":135,"_23":42,"_25":136},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":138,"_23":46,"_25":139},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":141,"_23":50,"_25":142},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[59,82,90,98,104],{"_14":15,"_16":15,"_17":146,"_19":147,"_27":15,"_28":163,"_57":164},"996628fc-4ac3-4821-86bd-839f86a97a6d",[148,151,154,157,160],{"_17":149,"_23":24,"_25":150},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":152,"_23":42,"_25":153},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":155,"_23":46,"_25":156},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":158,"_23":50,"_25":159},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":161,"_23":54,"_25":162},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[59,82,90,98,104],{"_14":15,"_16":15,"_17":166,"_19":167,"_27":15,"_28":183,"_57":184},"c478a46c-46a8-4942-ae14-2e79def3dda2",[168,171,174,177,180],{"_17":169,"_23":24,"_25":170},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":172,"_23":42,"_25":173},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":175,"_23":46,"_25":176},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":178,"_23":50,"_25":179},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":181,"_23":54,"_25":182},"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????",[59,82,90,98,104],[59,82,90,98,104],"tagsTree",[188,193],{"_17":91,"_61":92,"_63":93,"_65":66,"_67":-5,"_69":94,"_71":94,"_72":95,"_80":93,"_189":190},"children",[191],{"_17":99,"_61":84,"_63":85,"_65":66,"_67":91,"_69":70,"_71":70,"_72":100,"_80":103,"_189":192},[],{"_17":68,"_61":105,"_63":106,"_65":66,"_67":-5,"_69":107,"_71":107,"_72":108,"_80":106,"_189":194},[195],{"_17":60,"_61":62,"_63":64,"_65":66,"_67":68,"_69":70,"_71":70,"_72":73,"_80":81,"_189":196},[197],{"_17":83,"_61":84,"_63":85,"_65":66,"_67":60,"_69":86,"_71":86,"_72":87,"_80":89,"_189":198},[],"actionData","errors"]

Aulas em vídeo Em breve

Tópicos Relacionados