[{"_1":2,"_196":-5,"_197":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/fb3799a9-dcc5-4db2-9b98-210569e073d8","user","pages/questions/show/index",{"_10":11,"_12":13,"_24":25,"_26":27,"_54":182,"_183":184},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_21":15,"_22":23},"correctOptionId","","difficulty","id","fb3799a9-dcc5-4db2-9b98-210569e073d8","options",[],"solution_explanation","statement","Com base no gráfico, observe as afirmativas a seguir:
I. A velocidade para o dado objeto é constante.
II. A aceleração para o dado objeto é constante.
III. O movimento apresentado recebe o nome de movimento retilíneo uniforme.
IV. O deslocamento é linear.
Está correto o que se afirma em:","relatedVideos",[],"similarQuestions",[28,108,125,142,162],{"_14":15,"_16":15,"_17":29,"_19":30,"_21":15,"_22":53,"_54":55},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[31,37,41,45,49],{"_17":32,"_33":34,"_35":36},"265bd71a-6749-41f5-b291-67efd646ca64","label","A","text","y'' + 2y' - 3y = 0",{"_17":38,"_33":39,"_35":40},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","B","6y'' - y' - y = 0",{"_17":42,"_33":43,"_35":44},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_17":46,"_33":47,"_35":48},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_17":50,"_33":51,"_35":52},"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",[56,79,87,95,101],{"_17":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":67,"_68":67,"_69":70,"_77":78},"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",{"_71":72,"_73":74,"_75":76},"childrenCount",5,"content_count",0,"question_count",30614,"slug","engenharia-mecatronica-1",{"_17":80,"_58":81,"_60":82,"_62":63,"_64":57,"_66":83,"_68":83,"_69":84,"_77":86},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica","2025-04-29T03:44:35.328997+00:00",{"_71":72,"_73":74,"_75":85},25741,"mecanica-3",{"_17":88,"_58":89,"_60":90,"_62":63,"_64":-5,"_66":91,"_68":91,"_69":92,"_77":90},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_71":93,"_73":74,"_75":94},18,135489,{"_17":96,"_58":81,"_60":82,"_62":63,"_64":88,"_66":67,"_68":67,"_69":97,"_77":100},"ca6fee0e-79c6-4f1c-b500-ee081a071949",{"_71":98,"_73":74,"_75":99},10,19948,"mecanica-2",{"_17":65,"_58":102,"_60":103,"_62":63,"_64":-5,"_66":104,"_68":104,"_69":105,"_77":103},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_71":106,"_73":74,"_75":107},29,351586,{"_14":15,"_16":15,"_17":109,"_19":110,"_21":15,"_22":123,"_54":124},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[111,114,117,120],{"_17":112,"_33":34,"_35":113},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":115,"_33":39,"_35":116},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":118,"_33":43,"_35":119},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":121,"_33":47,"_35":122},"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.

",[56,79,87,95,101],{"_14":15,"_16":15,"_17":126,"_19":127,"_21":15,"_22":140,"_54":141},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[128,131,134,137],{"_17":129,"_33":34,"_35":130},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":132,"_33":39,"_35":133},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":135,"_33":43,"_35":136},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":138,"_33":47,"_35":139},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[56,79,87,95,101],{"_14":15,"_16":15,"_17":143,"_19":144,"_21":15,"_22":160,"_54":161},"996628fc-4ac3-4821-86bd-839f86a97a6d",[145,148,151,154,157],{"_17":146,"_33":34,"_35":147},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":149,"_33":39,"_35":150},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":152,"_33":43,"_35":153},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":155,"_33":47,"_35":156},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":158,"_33":51,"_35":159},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[56,79,87,95,101],{"_14":15,"_16":15,"_17":163,"_19":164,"_21":15,"_22":180,"_54":181},"c478a46c-46a8-4942-ae14-2e79def3dda2",[165,168,171,174,177],{"_17":166,"_33":34,"_35":167},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":169,"_33":39,"_35":170},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":172,"_33":43,"_35":173},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":175,"_33":47,"_35":176},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":178,"_33":51,"_35":179},"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????",[56,79,87,95,101],[56,79,87,95,101],"tagsTree",[185,190],{"_17":88,"_58":89,"_60":90,"_62":63,"_64":-5,"_66":91,"_68":91,"_69":92,"_77":90,"_186":187},"children",[188],{"_17":96,"_58":81,"_60":82,"_62":63,"_64":88,"_66":67,"_68":67,"_69":97,"_77":100,"_186":189},[],{"_17":65,"_58":102,"_60":103,"_62":63,"_64":-5,"_66":104,"_68":104,"_69":105,"_77":103,"_186":191},[192],{"_17":57,"_58":59,"_60":61,"_62":63,"_64":65,"_66":67,"_68":67,"_69":70,"_77":78,"_186":193},[194],{"_17":80,"_58":81,"_60":82,"_62":63,"_64":57,"_66":83,"_68":83,"_69":84,"_77":86,"_186":195},[],"actionData","errors"]

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