[{"_1":2,"_214":-5,"_215":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/fd462f2b-e3f2-4aef-a3c2-1cb214692c55","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_49":50,"_51":52,"_72":200,"_201":202},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":19,"_20":21,"_22":23,"_44":19,"_45":46,"_47":48},"correctOptionId","035ec3c7-b4bc-4236-92c5-a62828143946","difficulty","","id","fd462f2b-e3f2-4aef-a3c2-1cb214692c55","options",[24,30,34,37,41],{"_20":25,"_26":27,"_28":29},"d65a200d-e34e-4b2b-a1ca-876492b21d01","label","A","text","Óleos graxos e cera oxidada.",{"_20":31,"_26":32,"_28":33},"b74e4671-4792-4482-a138-538a56303efa","B","Polímeros de silicone.",{"_20":17,"_26":35,"_28":36},"C","Compostos orgânicos contendo enxofre, fósforo e nitrogênio.",{"_20":38,"_26":39,"_28":40},"9110e8ba-8b8a-4ee1-9dc3-19b4e6fcaf87","D","Sabões de chumbo, odorantes e corantes.",{"_20":42,"_26":43,"_28":36},"039ff185-76a0-4f22-8312-acbeba772991","E","solution_explanation","statement","

São considerados aditivos antioxidante?

","status","pending_classification","relatedVideos",[],"similarQuestions",[53,126,143,160,180],{"_16":19,"_18":19,"_20":54,"_22":55,"_44":19,"_45":71,"_72":73},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[56,59,62,65,68],{"_20":57,"_26":27,"_28":58},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_20":60,"_26":32,"_28":61},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_20":63,"_26":35,"_28":64},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_20":66,"_26":39,"_28":67},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_20":69,"_26":43,"_28":70},"112831da-be9c-458e-94cb-e8292d0dba12","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",[74,97,105,113,119],{"_20":75,"_76":77,"_78":79,"_80":81,"_82":83,"_84":85,"_86":85,"_87":88,"_95":96},"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",{"_89":90,"_91":92,"_93":94},"childrenCount",5,"content_count",0,"question_count",30614,"slug","engenharia-mecatronica-1",{"_20":98,"_76":99,"_78":100,"_80":81,"_82":75,"_84":101,"_86":101,"_87":102,"_95":104},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica","2025-04-29T03:44:35.328997+00:00",{"_89":90,"_91":92,"_93":103},25741,"mecanica-3",{"_20":106,"_76":107,"_78":108,"_80":81,"_82":-5,"_84":109,"_86":109,"_87":110,"_95":108},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_89":111,"_91":92,"_93":112},18,135489,{"_20":114,"_76":99,"_78":100,"_80":81,"_82":106,"_84":85,"_86":85,"_87":115,"_95":118},"ca6fee0e-79c6-4f1c-b500-ee081a071949",{"_89":116,"_91":92,"_93":117},10,19948,"mecanica-2",{"_20":83,"_76":120,"_78":121,"_80":81,"_82":-5,"_84":122,"_86":122,"_87":123,"_95":121},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_89":124,"_91":92,"_93":125},29,351586,{"_16":19,"_18":19,"_20":127,"_22":128,"_44":19,"_45":141,"_72":142},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[129,132,135,138],{"_20":130,"_26":27,"_28":131},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":133,"_26":32,"_28":134},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":136,"_26":35,"_28":137},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":139,"_26":39,"_28":140},"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.

",[74,97,105,113,119],{"_16":19,"_18":19,"_20":144,"_22":145,"_44":19,"_45":158,"_72":159},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[146,149,152,155],{"_20":147,"_26":27,"_28":148},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":150,"_26":32,"_28":151},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":153,"_26":35,"_28":154},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":156,"_26":39,"_28":157},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[74,97,105,113,119],{"_16":19,"_18":19,"_20":161,"_22":162,"_44":19,"_45":178,"_72":179},"996628fc-4ac3-4821-86bd-839f86a97a6d",[163,166,169,172,175],{"_20":164,"_26":27,"_28":165},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_20":167,"_26":32,"_28":168},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_20":170,"_26":35,"_28":171},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_20":173,"_26":39,"_28":174},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_20":176,"_26":43,"_28":177},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[74,97,105,113,119],{"_16":19,"_18":19,"_20":181,"_22":182,"_44":19,"_45":198,"_72":199},"c478a46c-46a8-4942-ae14-2e79def3dda2",[183,186,189,192,195],{"_20":184,"_26":27,"_28":185},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_20":187,"_26":32,"_28":188},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_20":190,"_26":35,"_28":191},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_20":193,"_26":39,"_28":194},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_20":196,"_26":43,"_28":197},"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????",[74,97,105,113,119],[74,97,105,113,119],"tagsTree",[203,208],{"_20":106,"_76":107,"_78":108,"_80":81,"_82":-5,"_84":109,"_86":109,"_87":110,"_95":108,"_204":205},"children",[206],{"_20":114,"_76":99,"_78":100,"_80":81,"_82":106,"_84":85,"_86":85,"_87":115,"_95":118,"_204":207},[],{"_20":83,"_76":120,"_78":121,"_80":81,"_82":-5,"_84":122,"_86":122,"_87":123,"_95":121,"_204":209},[210],{"_20":75,"_76":77,"_78":79,"_80":81,"_82":83,"_84":85,"_86":85,"_87":88,"_95":96,"_204":211},[212],{"_20":98,"_76":99,"_78":100,"_80":81,"_82":75,"_84":101,"_86":101,"_87":102,"_95":104,"_204":213},[],"actionData","errors"]

Comentários