[{"_1":2,"_266":-5,"_267":-5},"loaderData",{"_3":4,"_6":7},"root",{"_5":-5},"user","pages/questions/show/index",{"_8":9,"_10":11,"_36":37,"_38":39,"_61":238,"_239":240},"comments",[],"question",{"_12":13,"_14":13,"_15":16,"_17":18,"_33":13,"_34":35},"correctOptionId","","difficulty","id","fa951b54-ba31-4e12-86a0-efc4b4f02b40","options",[19,25,29],{"_15":20,"_21":22,"_23":24},"f519021b-07d9-47e2-9152-3f14bee61fa2","label","A","text","cobre",{"_15":26,"_21":27,"_23":28},"cf81b64c-ac43-4b55-bd30-37f4a81790e3","B","estanho",{"_15":30,"_21":31,"_23":32},"22db275b-5497-41a2-872b-7f68e5b58b2b","C","prata","solution_explanation","statement","

Bronzes são ligas não ferrosas importantes devido à resistência à corrosão marítima. Qual o elemento com teor acima de 50% em massa nos bronzes?

","relatedVideos",[],"similarQuestions",[40,164,181,198,218],{"_12":13,"_14":13,"_15":41,"_17":42,"_33":13,"_34":60,"_61":62},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[43,46,49,52,56],{"_15":44,"_21":22,"_23":45},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_15":47,"_21":27,"_23":48},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_15":50,"_21":31,"_23":51},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_15":53,"_21":54,"_23":55},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_15":57,"_21":58,"_23":59},"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",[63,85,95,105,112,119,127,135,141,146,152,159],{"_15":64,"_65":66,"_67":68,"_69":70,"_71":72,"_73":74,"_75":74,"_76":77,"_84":68},"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",{"_78":79,"_80":81,"_82":83},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_15":86,"_65":87,"_67":88,"_69":70,"_71":89,"_73":90,"_75":90,"_76":91,"_84":94},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","Termodinâmica","termodinamica","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0","2025-04-29T03:44:27.560682+00:00",{"_78":92,"_80":81,"_82":93},2,11846,"termodinamica-3",{"_15":96,"_65":97,"_67":98,"_69":70,"_71":99,"_73":100,"_75":100,"_76":101,"_84":104},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_78":102,"_80":81,"_82":103},5,30614,"engenharia-mecatronica-1",{"_15":106,"_65":107,"_67":108,"_69":70,"_71":96,"_73":74,"_75":74,"_76":109,"_84":111},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_78":102,"_80":81,"_82":110},25741,"mecanica-3",{"_15":89,"_65":113,"_67":114,"_69":70,"_71":99,"_73":100,"_75":100,"_76":115,"_84":118},"Engenharia Mecânica","engenharia-mecanica",{"_78":116,"_80":81,"_82":117},11,36318,"engenharia-mecanica-2",{"_15":120,"_65":121,"_67":122,"_69":70,"_71":123,"_73":90,"_75":90,"_76":124,"_84":122},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9",{"_78":125,"_80":81,"_82":126},10,8575,{"_15":128,"_65":129,"_67":130,"_69":70,"_71":-5,"_73":131,"_75":131,"_76":132,"_84":130},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_78":133,"_80":81,"_82":134},18,135489,{"_15":136,"_65":87,"_67":88,"_69":70,"_71":64,"_73":137,"_75":137,"_76":138,"_84":140},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_78":81,"_80":81,"_82":139},8597,"termodinamica-5",{"_15":72,"_65":142,"_67":143,"_69":70,"_71":99,"_73":100,"_75":100,"_76":144,"_84":145},"Engenharia de Petróleo","engenharia-de-petroleo",{"_78":102,"_80":81,"_82":83},"engenharia-de-petroleo-1",{"_15":123,"_65":147,"_67":148,"_69":70,"_71":128,"_73":100,"_75":100,"_76":149,"_84":151},"Física","fisica",{"_78":116,"_80":81,"_82":150},13777,"fisica-4",{"_15":99,"_65":153,"_67":154,"_69":70,"_71":-5,"_73":155,"_75":155,"_76":156,"_84":154},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_78":157,"_80":81,"_82":158},29,351586,{"_15":160,"_65":87,"_67":88,"_69":70,"_71":106,"_73":161,"_75":161,"_76":162,"_84":163},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_78":81,"_80":81,"_82":139},"termodinamica-4",{"_12":13,"_14":13,"_15":165,"_17":166,"_33":13,"_34":179,"_61":180},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[167,170,173,176],{"_15":168,"_21":22,"_23":169},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_15":171,"_21":27,"_23":172},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_15":174,"_21":31,"_23":175},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_15":177,"_21":54,"_23":178},"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.

",[63,85,95,105,112,119,127,135,141,146,152,159],{"_12":13,"_14":13,"_15":182,"_17":183,"_33":13,"_34":196,"_61":197},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[184,187,190,193],{"_15":185,"_21":22,"_23":186},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_15":188,"_21":27,"_23":189},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_15":191,"_21":31,"_23":192},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_15":194,"_21":54,"_23":195},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[63,85,95,105,112,119,127,135,141,146,152,159],{"_12":13,"_14":13,"_15":199,"_17":200,"_33":13,"_34":216,"_61":217},"996628fc-4ac3-4821-86bd-839f86a97a6d",[201,204,207,210,213],{"_15":202,"_21":22,"_23":203},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_15":205,"_21":27,"_23":206},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_15":208,"_21":31,"_23":209},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_15":211,"_21":54,"_23":212},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_15":214,"_21":58,"_23":215},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[63,85,95,105,112,119,127,135,141,146,152,159],{"_12":13,"_14":13,"_15":219,"_17":220,"_33":13,"_34":236,"_61":237},"c478a46c-46a8-4942-ae14-2e79def3dda2",[221,224,227,230,233],{"_15":222,"_21":22,"_23":223},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_15":225,"_21":27,"_23":226},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_15":228,"_21":31,"_23":229},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_15":231,"_21":54,"_23":232},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_15":234,"_21":58,"_23":235},"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????",[63,85,95,105,112,119,127,135,141,146,152,159],[63,85,95,105,112,119,127,135,141,146,152,159],"tagsTree",[241,248],{"_15":128,"_65":129,"_67":130,"_69":70,"_71":-5,"_73":131,"_75":131,"_76":132,"_84":130,"_242":243},"children",[244],{"_15":123,"_65":147,"_67":148,"_69":70,"_71":128,"_73":100,"_75":100,"_76":149,"_84":151,"_242":245},[246],{"_15":120,"_65":121,"_67":122,"_69":70,"_71":123,"_73":90,"_75":90,"_76":124,"_84":122,"_242":247},[],{"_15":99,"_65":153,"_67":154,"_69":70,"_71":-5,"_73":155,"_75":155,"_76":156,"_84":154,"_242":249},[250,256,260],{"_15":96,"_65":97,"_67":98,"_69":70,"_71":99,"_73":100,"_75":100,"_76":101,"_84":104,"_242":251},[252],{"_15":106,"_65":107,"_67":108,"_69":70,"_71":96,"_73":74,"_75":74,"_76":109,"_84":111,"_242":253},[254],{"_15":160,"_65":87,"_67":88,"_69":70,"_71":106,"_73":161,"_75":161,"_76":162,"_84":163,"_242":255},[],{"_15":89,"_65":113,"_67":114,"_69":70,"_71":99,"_73":100,"_75":100,"_76":115,"_84":118,"_242":257},[258],{"_15":86,"_65":87,"_67":88,"_69":70,"_71":89,"_73":90,"_75":90,"_76":91,"_84":94,"_242":259},[],{"_15":72,"_65":142,"_67":143,"_69":70,"_71":99,"_73":100,"_75":100,"_76":144,"_84":145,"_242":261},[262],{"_15":64,"_65":66,"_67":68,"_69":70,"_71":72,"_73":74,"_75":74,"_76":77,"_84":68,"_242":263},[264],{"_15":136,"_65":87,"_67":88,"_69":70,"_71":64,"_73":137,"_75":137,"_76":138,"_84":140,"_242":265},[],"actionData","errors"]

Aulas em vídeo Em breve

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