[{"_1":2,"_268":-5,"_269":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/fadf933e-0dee-4a6d-aabe-6d5be2282805","user","pages/questions/show/index",{"_10":11,"_12":13,"_14":15,"_46":47,"_106":107,"_84":250,"_251":252,"_264":265,"_266":267},"comments",[],"isAiGenerated",false,"question",{"_16":17,"_18":19,"_20":21,"_22":23,"_41":19,"_42":43,"_44":45},"correctOptionId","3a3aa034-a306-419c-9d12-d8f2d90dcd35","difficulty","","id","fadf933e-0dee-4a6d-aabe-6d5be2282805","options",[24,30,33,37],{"_20":25,"_26":27,"_28":29},"b46d0c1e-7c42-419a-bb01-972d211c2136","label","A","text","

O produto da massa do corpo em função do tempo.

",{"_20":17,"_26":31,"_28":32},"B","

É o produto da massa com a velocidade do corpo.

",{"_20":34,"_26":35,"_28":36},"fe237bed-6e3f-4970-8c81-6e632734c63a","C","

É o produto da força angular em função da massa do corpo.

",{"_20":38,"_26":39,"_28":40},"7e193afd-72f7-437f-8e73-e282a4194953","D","

É a força da gravidade menos a massa do corpo.

","solution_explanation","statement","

Qual a definição da quantidade de movimento?

","status","pending_classification","relatedVideos",[48],{"_49":50,"_68":69,"_84":85,"_86":87},"content",{"_20":51,"_52":53,"_54":-5,"_55":56,"_57":58,"_59":-5,"_60":61,"_64":65,"_66":65,"_67":-5},"fea1149f-ed42-488e-b8d0-46e5016f329f","name","Relações Trigonométricas no Triângulo Retângulo, Leis dos Senos e Cossenos - 06 - Revisando e Praticando - Parte 06","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","d7fcad9c-530e-4eec-824f-930373662cdc","user_id","metadata",{"_62":63},"external_id","12593","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","prometheusData",{"_70":71,"_77":78,"_79":80,"_81":82,"_5":83},"provider",{"_20":72,"_73":74,"_75":76},"d6d15d4b-87f1-4181-b20a-19190395ac14","key","grupo_q_cloudflare_stream","kind","cloudflare_stream","reference","788b0a69895b7d4d00f0f7c468c32531","state","completed","thumbnail_url","https://videodelivery.net/eyJraWQiOiIzNDIwNjA3YjJiNTVjMjc2ZTVhNmE1NzYzMGRkNDlhYyIsImFsZyI6IlJTMjU2In0.eyJzdWIiOiI3ODhiMGE2OTg5NWI3ZDRkMDBmMGY3YzQ2OGMzMjUzMSIsImtpZCI6IjM0MjA2MDdiMmI1NWMyNzZlNWE2YTU3NjMwZGQ0OWFjIiwiZXhwIjoxNzU1ODU0Nzk0fQ.f3EH1gykT4m704Kx5XfbfkLyRITV1_lgbOiIy3610nit_2RTNfRMRoZeEvkuTAoyPDoibgKwWniqJC6z4fAQg4jcEGGQQv6BJa7JoWVTzm0h98cUEaMgfnx5ojIqxGJfrZxwsBWs7gkezzu5SmwVG1_phsyOo_3wjbZmq3oA3nCsRE1L6cRd9_rCMu-0TOMg22oeX07Uu6_IOwwQT-wY_AMeYYCYQSS-7a9GYzOigk8bs8NRq1iiEBZ-XeGhwmHoWhFU30aCWhk0R642lO-Ks1vLPwSpXrnIse2KqvMTEqFKyWPx5-z92_ySC-F0xRzGZZE5scW-nCjsssc9mrNKXQ/thumbnails/thumbnail.jpg?time=10s&height=360","https://customer-356s6wt60g79gz5u.cloudflarestream.com/eyJraWQiOiIzNDIwNjA3YjJiNTVjMjc2ZTVhNmE1NzYzMGRkNDlhYyIsImFsZyI6IlJTMjU2In0.eyJzdWIiOiI3ODhiMGE2OTg5NWI3ZDRkMDBmMGY3YzQ2OGMzMjUzMSIsImtpZCI6IjM0MjA2MDdiMmI1NWMyNzZlNWE2YTU3NjMwZGQ0OWFjIiwiZXhwIjoxNzU1ODU0Nzk0fQ.f3EH1gykT4m704Kx5XfbfkLyRITV1_lgbOiIy3610nit_2RTNfRMRoZeEvkuTAoyPDoibgKwWniqJC6z4fAQg4jcEGGQQv6BJa7JoWVTzm0h98cUEaMgfnx5ojIqxGJfrZxwsBWs7gkezzu5SmwVG1_phsyOo_3wjbZmq3oA3nCsRE1L6cRd9_rCMu-0TOMg22oeX07Uu6_IOwwQT-wY_AMeYYCYQSS-7a9GYzOigk8bs8NRq1iiEBZ-XeGhwmHoWhFU30aCWhk0R642lO-Ks1vLPwSpXrnIse2KqvMTEqFKyWPx5-z92_ySC-F0xRzGZZE5scW-nCjsssc9mrNKXQ/manifest/video.m3u8","tags",[],"video",{"_20":58,"_88":53,"_54":-5,"_89":90,"_91":92,"_5":-5,"_93":-5,"_70":92,"_94":95,"_81":-5,"_96":-5,"_97":-5,"_98":-5,"_99":-5,"_60":100,"_101":102,"_103":-5,"_44":104,"_64":105,"_66":105},"title","duration",21,"source_type","prometheus","iframe_url","provider_video_id","8335867d-4f35-401e-a9c3-13c4a0db8c56","format","quality","file_path","file_size",{"_62":63},"views_count",0,"last_played_at","draft","2025-08-19T11:56:14.613229+00:00","similarQuestions",[108,176,193,210,230],{"_16":19,"_18":19,"_20":109,"_22":110,"_41":19,"_42":127,"_84":128},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[111,114,117,120,123],{"_20":112,"_26":27,"_28":113},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_20":115,"_26":31,"_28":116},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_20":118,"_26":35,"_28":119},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_20":121,"_26":39,"_28":122},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_20":124,"_26":125,"_28":126},"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

",[129,147,155,163,169],{"_20":130,"_52":131,"_132":133,"_134":135,"_136":137,"_64":138,"_66":138,"_60":139,"_145":146},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","alias","engenharia-mecatronica","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_140":141,"_142":102,"_143":144},"childrenCount",5,"content_count","question_count",30614,"slug","engenharia-mecatronica-1",{"_20":148,"_52":149,"_132":150,"_134":135,"_136":130,"_64":151,"_66":151,"_60":152,"_145":154},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica","2025-04-29T03:44:35.328997+00:00",{"_140":141,"_142":102,"_143":153},25741,"mecanica-3",{"_20":156,"_52":157,"_132":158,"_134":135,"_136":-5,"_64":159,"_66":159,"_60":160,"_145":158},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_140":161,"_142":102,"_143":162},18,135489,{"_20":164,"_52":149,"_132":150,"_134":135,"_136":156,"_64":138,"_66":138,"_60":165,"_145":168},"ca6fee0e-79c6-4f1c-b500-ee081a071949",{"_140":166,"_142":102,"_143":167},10,19948,"mecanica-2",{"_20":137,"_52":170,"_132":171,"_134":135,"_136":-5,"_64":172,"_66":172,"_60":173,"_145":171},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_140":174,"_142":102,"_143":175},29,351586,{"_16":19,"_18":19,"_20":177,"_22":178,"_41":19,"_42":191,"_84":192},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[179,182,185,188],{"_20":180,"_26":27,"_28":181},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":183,"_26":31,"_28":184},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":186,"_26":35,"_28":187},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":189,"_26":39,"_28":190},"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.

",[129,147,155,163,169],{"_16":19,"_18":19,"_20":194,"_22":195,"_41":19,"_42":208,"_84":209},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[196,199,202,205],{"_20":197,"_26":27,"_28":198},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":200,"_26":31,"_28":201},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":203,"_26":35,"_28":204},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":206,"_26":39,"_28":207},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[129,147,155,163,169],{"_16":19,"_18":19,"_20":211,"_22":212,"_41":19,"_42":228,"_84":229},"996628fc-4ac3-4821-86bd-839f86a97a6d",[213,216,219,222,225],{"_20":214,"_26":27,"_28":215},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_20":217,"_26":31,"_28":218},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_20":220,"_26":35,"_28":221},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_20":223,"_26":39,"_28":224},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_20":226,"_26":125,"_28":227},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[129,147,155,163,169],{"_16":19,"_18":19,"_20":231,"_22":232,"_41":19,"_42":248,"_84":249},"c478a46c-46a8-4942-ae14-2e79def3dda2",[233,236,239,242,245],{"_20":234,"_26":27,"_28":235},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_20":237,"_26":31,"_28":238},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_20":240,"_26":35,"_28":241},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_20":243,"_26":39,"_28":244},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_20":246,"_26":125,"_28":247},"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????",[129,147,155,163,169],[129,147,155,163,169],"tagsTree",[253,258],{"_20":156,"_52":157,"_132":158,"_134":135,"_136":-5,"_64":159,"_66":159,"_60":160,"_145":158,"_254":255},"children",[256],{"_20":164,"_52":149,"_132":150,"_134":135,"_136":156,"_64":138,"_66":138,"_60":165,"_145":168,"_254":257},[],{"_20":137,"_52":170,"_132":171,"_134":135,"_136":-5,"_64":172,"_66":172,"_60":173,"_145":171,"_254":259},[260],{"_20":130,"_52":131,"_132":133,"_134":135,"_136":137,"_64":138,"_66":138,"_60":139,"_145":146,"_254":261},[262],{"_20":148,"_52":149,"_132":150,"_134":135,"_136":130,"_64":151,"_66":151,"_60":152,"_145":154,"_254":263},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

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