[{"_1":2,"_271":-5,"_272":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/ca27f8f5-24e4-46dd-8964-79e98ff7ec1e","user","pages/questions/show/index",{"_10":11,"_12":13,"_34":35,"_36":37,"_60":241,"_242":243},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_31":15,"_32":33},"correctOptionId","","difficulty","id","ca27f8f5-24e4-46dd-8964-79e98ff7ec1e","options",[21,27],{"_17":22,"_23":24,"_25":26},"0df5b01b-c4d7-4479-b4e1-aef4dcda9d57","label","A","text","A força de cisalhamento no ponto C é de -20 \\, \\text{kN} e o momento fletor é de 40 \\, \\text{kN}.",{"_17":28,"_23":29,"_25":30},"fd4b0ab9-e204-4f3d-b70a-1a529f855aa1","B","-20 \\, \\text{kN} e 40 \\, \\text{kN}.","solution_explanation","statement","

4 - A figura a seguir apresenta uma viga isostática bi-apoiada. Com auxílio do método das seções, responda quanto valem a força de cisalhamento e o momento fletor no ponto C, respectivamente:

","relatedVideos",[],"similarQuestions",[38,167,184,201,221],{"_14":15,"_16":15,"_17":39,"_19":40,"_31":15,"_32":59,"_60":61},"3c0b9441-b878-4896-8bac-fa4ca61e3f13",[41,44,47,51,55],{"_17":42,"_23":24,"_25":43},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_17":45,"_23":29,"_25":46},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_17":48,"_23":49,"_25":50},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","C","y'' - 2y' + y = 0",{"_17":52,"_23":53,"_25":54},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","D","9y'' + 6y' + y = 0",{"_17":56,"_23":57,"_25":58},"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",[62,84,94,103,109,117,123,131,136,144,149,154,160],{"_17":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":73,"_74":73,"_75":76,"_83":67},"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",{"_77":78,"_79":80,"_81":82},"childrenCount",4,"content_count",0,"question_count",12302,"slug",{"_17":85,"_64":86,"_66":87,"_68":69,"_70":88,"_72":89,"_74":89,"_75":90,"_83":93},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_77":91,"_79":80,"_81":92},5,30614,"engenharia-mecatronica-1",{"_17":95,"_64":96,"_66":97,"_68":69,"_70":98,"_72":99,"_74":99,"_75":100,"_83":102},"8850e507-a691-4d45-a7c7-16221e9c5af2","Resistência dos Materiais","resistencia-dos-materiais","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_77":80,"_79":80,"_81":101},3376,"resistencia-dos-materiais-6",{"_17":98,"_64":104,"_66":105,"_68":69,"_70":85,"_72":73,"_74":73,"_75":106,"_83":108},"Mecânica","mecanica",{"_77":91,"_79":80,"_81":107},25741,"mecanica-3",{"_17":110,"_64":111,"_66":112,"_68":69,"_70":-5,"_72":113,"_74":113,"_75":114,"_83":112},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_77":115,"_79":80,"_81":116},18,135489,{"_17":118,"_64":96,"_66":97,"_68":69,"_70":119,"_72":120,"_74":120,"_75":121,"_83":122},"ac55bdba-154d-42e7-bc25-72dde822663d","ca6fee0e-79c6-4f1c-b500-ee081a071949","2025-04-29T03:44:29.139762+00:00",{"_77":80,"_79":80,"_81":101},"resistencia-dos-materiais-4",{"_17":124,"_64":125,"_66":126,"_68":69,"_70":88,"_72":89,"_74":89,"_75":127,"_83":130},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_77":128,"_79":80,"_81":129},21,45865,"engenharia-civil-3",{"_17":71,"_64":132,"_66":133,"_68":69,"_70":88,"_72":89,"_74":89,"_75":134,"_83":135},"Engenharia de Petróleo","engenharia-de-petroleo",{"_77":91,"_79":80,"_81":82},"engenharia-de-petroleo-1",{"_17":137,"_64":138,"_66":139,"_68":69,"_70":124,"_72":140,"_74":140,"_75":141,"_83":143},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_77":91,"_79":80,"_81":142},8852,"estruturas-1",{"_17":119,"_64":104,"_66":105,"_68":69,"_70":110,"_72":89,"_74":89,"_75":145,"_83":148},{"_77":146,"_79":80,"_81":147},10,19948,"mecanica-2",{"_17":150,"_64":96,"_66":97,"_68":69,"_70":63,"_72":151,"_74":151,"_75":152,"_83":153},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_77":80,"_79":80,"_81":101},"resistencia-dos-materiais-7",{"_17":155,"_64":156,"_66":97,"_68":69,"_70":137,"_72":157,"_74":157,"_75":158,"_83":159},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_77":80,"_79":80,"_81":101},"resistencia-dos-materiais-5",{"_17":88,"_64":161,"_66":162,"_68":69,"_70":-5,"_72":163,"_74":163,"_75":164,"_83":162},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_77":165,"_79":80,"_81":166},29,351586,{"_14":15,"_16":15,"_17":168,"_19":169,"_31":15,"_32":182,"_60":183},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[170,173,176,179],{"_17":171,"_23":24,"_25":172},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_17":174,"_23":29,"_25":175},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_17":177,"_23":49,"_25":178},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_17":180,"_23":53,"_25":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.

",[62,84,94,103,109,117,123,131,136,144,149,154,160],{"_14":15,"_16":15,"_17":185,"_19":186,"_31":15,"_32":199,"_60":200},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[187,190,193,196],{"_17":188,"_23":24,"_25":189},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_17":191,"_23":29,"_25":192},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_17":194,"_23":49,"_25":195},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_17":197,"_23":53,"_25":198},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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

",[62,84,94,103,109,117,123,131,136,144,149,154,160],{"_14":15,"_16":15,"_17":202,"_19":203,"_31":15,"_32":219,"_60":220},"996628fc-4ac3-4821-86bd-839f86a97a6d",[204,207,210,213,216],{"_17":205,"_23":24,"_25":206},"5ad09994-6dcb-4c66-87ae-ec00e9b439b7","5 + 3x < 2x + 4",{"_17":208,"_23":29,"_25":209},"b3ae9948-890b-4807-b801-1e1888cb0c10","3 + 4x \\leq 8x + 6",{"_17":211,"_23":49,"_25":212},"d2964603-f26c-4be6-99ae-d174678f104c","5 + 4x > 3x + 2",{"_17":214,"_23":53,"_25":215},"88c48b1a-ce37-4eae-a900-a4fb4bd581d9","1 + 3x \\geq 5x + 7",{"_17":217,"_23":57,"_25":218},"155e0bb0-6c7f-4d9c-96e5-d1cdb97c632b","4(3 + 2x) < -(6x + 8)","Resolver las siguientes inecuaciones y representar la solución en la recta real:",[62,84,94,103,109,117,123,131,136,144,149,154,160],{"_14":15,"_16":15,"_17":222,"_19":223,"_31":15,"_32":239,"_60":240},"c478a46c-46a8-4942-ae14-2e79def3dda2",[224,227,230,233,236],{"_17":225,"_23":24,"_25":226},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_17":228,"_23":29,"_25":229},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_17":231,"_23":49,"_25":232},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","Indeterminado",{"_17":234,"_23":53,"_25":235},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_17":237,"_23":57,"_25":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????",[62,84,94,103,109,117,123,131,136,144,149,154,160],[62,84,94,103,109,117,123,131,136,144,149,154,160],"tagsTree",[244,251],{"_17":110,"_64":111,"_66":112,"_68":69,"_70":-5,"_72":113,"_74":113,"_75":114,"_83":112,"_245":246},"children",[247],{"_17":119,"_64":104,"_66":105,"_68":69,"_70":110,"_72":89,"_74":89,"_75":145,"_83":148,"_245":248},[249],{"_17":118,"_64":96,"_66":97,"_68":69,"_70":119,"_72":120,"_74":120,"_75":121,"_83":122,"_245":250},[],{"_17":88,"_64":161,"_66":162,"_68":69,"_70":-5,"_72":163,"_74":163,"_75":164,"_83":162,"_245":252},[253,259,265],{"_17":85,"_64":86,"_66":87,"_68":69,"_70":88,"_72":89,"_74":89,"_75":90,"_83":93,"_245":254},[255],{"_17":98,"_64":104,"_66":105,"_68":69,"_70":85,"_72":73,"_74":73,"_75":106,"_83":108,"_245":256},[257],{"_17":95,"_64":96,"_66":97,"_68":69,"_70":98,"_72":99,"_74":99,"_75":100,"_83":102,"_245":258},[],{"_17":124,"_64":125,"_66":126,"_68":69,"_70":88,"_72":89,"_74":89,"_75":127,"_83":130,"_245":260},[261],{"_17":137,"_64":138,"_66":139,"_68":69,"_70":124,"_72":140,"_74":140,"_75":141,"_83":143,"_245":262},[263],{"_17":155,"_64":156,"_66":97,"_68":69,"_70":137,"_72":157,"_74":157,"_75":158,"_83":159,"_245":264},[],{"_17":71,"_64":132,"_66":133,"_68":69,"_70":88,"_72":89,"_74":89,"_75":134,"_83":135,"_245":266},[267],{"_17":63,"_64":65,"_66":67,"_68":69,"_70":71,"_72":73,"_74":73,"_75":76,"_83":67,"_245":268},[269],{"_17":150,"_64":96,"_66":97,"_68":69,"_70":63,"_72":151,"_74":151,"_75":152,"_83":153,"_245":270},[],"actionData","errors"]

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