[{"_1":2,"_269":-5,"_270":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_40":41,"_42":43,"_64":241,"_242":243},"comments",[],"question",{"_12":13,"_14":15,"_16":17,"_18":19,"_37":15,"_38":39},"correctOptionId","eb353e89-e026-4de2-8833-dc8adb1f3307","difficulty","","id","ff262066-3779-4c89-bcae-83f96882ae12","options",[20,26,29,33],{"_16":21,"_22":23,"_24":25},"ddd3f374-62fb-494e-8ad0-23c5c5647199","label","A","text","o ouro",{"_16":13,"_22":27,"_24":28},"B","o ouro, o marfim e os escravos",{"_16":30,"_22":31,"_24":32},"a5d3a9d1-86f6-4b9c-a038-a809f4aeff53","C","o ouro e os escravos",{"_16":34,"_22":35,"_24":36},"210a4345-f6ee-4500-afd0-02a1e202c91b","D","nenhuma das alternativas está correcta","solution_explanation","statement","O principal objectivo que trouxe os portugueses a Moçambique no séc. XVI foi:","relatedVideos",[],"similarQuestions",[44,167,184,201,221],{"_12":15,"_14":15,"_16":45,"_18":46,"_37":15,"_38":63,"_64":65},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[47,50,53,56,59],{"_16":48,"_22":23,"_24":49},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_16":51,"_22":27,"_24":52},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_16":54,"_22":31,"_24":55},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_16":57,"_22":35,"_24":58},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_16":60,"_22":61,"_24":62},"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",[66,88,98,108,115,122,130,138,144,149,155,162],{"_16":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":77,"_79":80,"_87":71},"6516bbbd-f2a3-4710-8382-702240b17836","name","Mecânica na Engenharia de Petróleo","alias","mecanica-na-engenharia-de-petroleo","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","b787e438-0ab3-454c-ab43-5d3d14c2720d","created_at","2025-04-29T03:44:35.328997+00:00","updated_at","metadata",{"_81":82,"_83":84,"_85":86},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_16":89,"_68":90,"_70":91,"_72":73,"_74":92,"_76":93,"_78":93,"_79":94,"_87":97},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","Termodinâmica","termodinamica","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0","2025-04-29T03:44:27.560682+00:00",{"_81":95,"_83":84,"_85":96},2,11846,"termodinamica-3",{"_16":99,"_68":100,"_70":101,"_72":73,"_74":102,"_76":103,"_78":103,"_79":104,"_87":107},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_81":105,"_83":84,"_85":106},5,30614,"engenharia-mecatronica-1",{"_16":109,"_68":110,"_70":111,"_72":73,"_74":99,"_76":77,"_78":77,"_79":112,"_87":114},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_81":105,"_83":84,"_85":113},25741,"mecanica-3",{"_16":92,"_68":116,"_70":117,"_72":73,"_74":102,"_76":103,"_78":103,"_79":118,"_87":121},"Engenharia Mecânica","engenharia-mecanica",{"_81":119,"_83":84,"_85":120},11,36318,"engenharia-mecanica-2",{"_16":123,"_68":124,"_70":125,"_72":73,"_74":126,"_76":93,"_78":93,"_79":127,"_87":125},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9",{"_81":128,"_83":84,"_85":129},10,8575,{"_16":131,"_68":132,"_70":133,"_72":73,"_74":-5,"_76":134,"_78":134,"_79":135,"_87":133},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_81":136,"_83":84,"_85":137},18,135489,{"_16":139,"_68":90,"_70":91,"_72":73,"_74":67,"_76":140,"_78":140,"_79":141,"_87":143},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_81":84,"_83":84,"_85":142},8597,"termodinamica-5",{"_16":75,"_68":145,"_70":146,"_72":73,"_74":102,"_76":103,"_78":103,"_79":147,"_87":148},"Engenharia de Petróleo","engenharia-de-petroleo",{"_81":105,"_83":84,"_85":86},"engenharia-de-petroleo-1",{"_16":126,"_68":150,"_70":151,"_72":73,"_74":131,"_76":103,"_78":103,"_79":152,"_87":154},"Física","fisica",{"_81":119,"_83":84,"_85":153},13777,"fisica-4",{"_16":102,"_68":156,"_70":157,"_72":73,"_74":-5,"_76":158,"_78":158,"_79":159,"_87":157},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_81":160,"_83":84,"_85":161},29,351586,{"_16":163,"_68":90,"_70":91,"_72":73,"_74":109,"_76":164,"_78":164,"_79":165,"_87":166},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_81":84,"_83":84,"_85":142},"termodinamica-4",{"_12":15,"_14":15,"_16":168,"_18":169,"_37":15,"_38":182,"_64":183},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[170,173,176,179],{"_16":171,"_22":23,"_24":172},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_16":174,"_22":27,"_24":175},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_16":177,"_22":31,"_24":178},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_16":180,"_22":35,"_24":181},"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.

",[66,88,98,108,115,122,130,138,144,149,155,162],{"_12":15,"_14":15,"_16":185,"_18":186,"_37":15,"_38":199,"_64":200},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[187,190,193,196],{"_16":188,"_22":23,"_24":189},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_16":191,"_22":27,"_24":192},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_16":194,"_22":31,"_24":195},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_16":197,"_22":35,"_24":198},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[66,88,98,108,115,122,130,138,144,149,155,162],{"_12":15,"_14":15,"_16":202,"_18":203,"_37":15,"_38":219,"_64":220},"996628fc-4ac3-4821-86bd-839f86a97a6d",[204,207,210,213,216],{"_16":205,"_22":23,"_24":206},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_16":208,"_22":27,"_24":209},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_16":211,"_22":31,"_24":212},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_16":214,"_22":35,"_24":215},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_16":217,"_22":61,"_24":218},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[66,88,98,108,115,122,130,138,144,149,155,162],{"_12":15,"_14":15,"_16":222,"_18":223,"_37":15,"_38":239,"_64":240},"c478a46c-46a8-4942-ae14-2e79def3dda2",[224,227,230,233,236],{"_16":225,"_22":23,"_24":226},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_16":228,"_22":27,"_24":229},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_16":231,"_22":31,"_24":232},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_16":234,"_22":35,"_24":235},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_16":237,"_22":61,"_24":238},"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????",[66,88,98,108,115,122,130,138,144,149,155,162],[66,88,98,108,115,122,130,138,144,149,155,162],"tagsTree",[244,251],{"_16":131,"_68":132,"_70":133,"_72":73,"_74":-5,"_76":134,"_78":134,"_79":135,"_87":133,"_245":246},"children",[247],{"_16":126,"_68":150,"_70":151,"_72":73,"_74":131,"_76":103,"_78":103,"_79":152,"_87":154,"_245":248},[249],{"_16":123,"_68":124,"_70":125,"_72":73,"_74":126,"_76":93,"_78":93,"_79":127,"_87":125,"_245":250},[],{"_16":102,"_68":156,"_70":157,"_72":73,"_74":-5,"_76":158,"_78":158,"_79":159,"_87":157,"_245":252},[253,259,263],{"_16":99,"_68":100,"_70":101,"_72":73,"_74":102,"_76":103,"_78":103,"_79":104,"_87":107,"_245":254},[255],{"_16":109,"_68":110,"_70":111,"_72":73,"_74":99,"_76":77,"_78":77,"_79":112,"_87":114,"_245":256},[257],{"_16":163,"_68":90,"_70":91,"_72":73,"_74":109,"_76":164,"_78":164,"_79":165,"_87":166,"_245":258},[],{"_16":92,"_68":116,"_70":117,"_72":73,"_74":102,"_76":103,"_78":103,"_79":118,"_87":121,"_245":260},[261],{"_16":89,"_68":90,"_70":91,"_72":73,"_74":92,"_76":93,"_78":93,"_79":94,"_87":97,"_245":262},[],{"_16":75,"_68":145,"_70":146,"_72":73,"_74":102,"_76":103,"_78":103,"_79":147,"_87":148,"_245":264},[265],{"_16":67,"_68":69,"_70":71,"_72":73,"_74":75,"_76":77,"_78":77,"_79":80,"_87":71,"_245":266},[267],{"_16":139,"_68":90,"_70":91,"_72":73,"_74":67,"_76":140,"_78":140,"_79":141,"_87":143,"_245":268},[],"actionData","errors"]

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