[{"_1":2,"_193":-5,"_194":-5},"loaderData",{"_3":4,"_8":9},"root",{"_5":6,"_7":-5},"url","https://prouniversitario.com/exercicios/be3d776c-dc14-4c7a-a91d-6930ca29ec90","user","pages/questions/show/index",{"_10":11,"_12":13,"_45":46,"_47":48,"_68":183,"_184":185},"comments",[],"question",{"_14":15,"_16":15,"_17":18,"_19":20,"_42":15,"_43":44},"correctOptionId","","difficulty","id","be3d776c-dc14-4c7a-a91d-6930ca29ec90","options",[21,27,31,35,39],{"_17":22,"_23":24,"_25":26},"44116e28-fc7d-4dc8-adca-c0e51346d927","label","A","text","\\frac{\\partial f}{\\partial x} = 3 cos(3x + y) + sen(x - 2y)",{"_17":28,"_23":29,"_25":30},"5c244d32-e689-430b-871b-f990a7b70ca0","B","\\frac{\\partial f}{\\partial y} = cos(3x + y) - 2sen(x - 2y)",{"_17":32,"_23":33,"_25":34},"38d4bd67-30c0-4a86-987c-7763715157d3","C","\\frac{\\partial f}{\\partial x} = 3cos(y) - cos(x - 2y)",{"_17":36,"_23":37,"_25":38},"720a2369-67fe-4875-bf13-f7bb08ea1735","D","\\frac{\\partial f}{\\partial y} = 3cos(x) - 2sen(x - 2y)",{"_17":40,"_23":41,"_25":38},"8fe373eb-a395-47fa-aaa7-4f5ec4ed68ae","E","solution_explanation","statement","Dada a função f(x, y) = sen(3x + y) - cos(x - 2y), é correto afirmar que:","relatedVideos",[],"similarQuestions",[49,109,126,146,166],{"_14":15,"_16":15,"_17":50,"_19":51,"_42":15,"_43":67,"_68":69},"0b6f4c25-a5b8-4e25-8a27-f76b5729b64e",[52,55,58,61,64],{"_17":53,"_23":24,"_25":54},"3b01fd8f-e84b-4147-9feb-3ec5370c763b","0",{"_17":56,"_23":29,"_25":57},"b0be23fe-9158-4197-9b80-e7eb41af9c70","1",{"_17":59,"_23":33,"_25":60},"b8eed276-b85e-4c19-b7a9-8f92bb43f3ca","2",{"_17":62,"_23":37,"_25":63},"0a08415b-67cf-4f3c-a504-651527fbefcd","3",{"_17":65,"_23":41,"_25":66},"2c0050aa-0652-472e-8fd6-254c6aaa4f44","5","Para que o polinômio 26x^{3} + 4x^{2} - 2mx + (m - 1) seja divisível por x - 3, o valor da raiz quadrada do módulo de m deve ser igual a","tags",[70,93,101],{"_17":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":81,"_83":84,"_91":92},"460c64fa-d231-4570-b316-17533b8b28f8","name","Pré-cálculo","alias","pre-calculo","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","b34d4581-a7e7-4d5d-be00-abe3d9a69032","created_at","2025-05-28T00:13:52.643631+00:00","updated_at","metadata",{"_85":86,"_87":88,"_89":90},"childrenCount",4,"content_count",0,"question_count",3555,"slug","pre-calculo-2",{"_17":94,"_72":95,"_74":96,"_76":77,"_78":-5,"_80":97,"_82":97,"_83":98,"_91":96},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_85":99,"_87":88,"_89":100},18,135489,{"_17":79,"_72":102,"_74":103,"_76":77,"_78":94,"_80":104,"_82":104,"_83":105,"_91":108},"Matemática","matematica","2025-04-29T02:19:12.828432+00:00",{"_85":106,"_87":88,"_89":107},8,40655,"matematica-10",{"_14":15,"_16":15,"_17":110,"_19":111,"_42":15,"_43":124,"_68":125},"66bd27e3-ce98-4b83-a244-55e758adf328",[112,115,118,121],{"_17":113,"_23":24,"_25":114},"6a31809c-23f4-49f8-93ad-40c26d3192d1","4",{"_17":116,"_23":29,"_25":117},"9f7de9bd-67be-4d06-93a7-4723f7a4ea04","8",{"_17":119,"_23":33,"_25":120},"525dd39a-67b7-432a-b2ff-adeb035c0443","10",{"_17":122,"_23":37,"_25":123},"550c6bc7-56c0-4be3-8330-9480fc55da2f","25","As raízes positivas da equação 4x^2 - 10x + 9 = 0 são as medidas das bases de um trapézio isósceles cuja altura é a soma dessas mesmas raízes. A área desse trapézio é",[70,93,101],{"_14":15,"_16":15,"_17":127,"_19":128,"_42":15,"_43":144,"_68":145},"80b083f3-eaf0-437e-af93-22ab13ad2012",[129,132,135,138,141],{"_17":130,"_23":24,"_25":131},"61b623c6-6a42-40da-b145-6dae697ac80c","2222x + 252-",{"_17":133,"_23":29,"_25":134},"642e358a-93cb-493b-bccb-c32933c5fd40","2444x + 252+",{"_17":136,"_23":33,"_25":137},"d4094d52-329a-4785-8270-238a3c7afd9c","444x + 252-",{"_17":139,"_23":37,"_25":140},"0eaec174-6ab6-488b-8580-43ef0050f4dc","222x + 252+",{"_17":142,"_23":41,"_25":143},"98319542-cbbc-4f6d-aae8-77cac9dfa27b","2444x + 252- -","Na divisão do polinômio 4x^3 - 26x^2 + 8x - 10 pelo divisor 2x^2 - 3x + 2, o resto multiplicado por 2 é",[70,93,101],{"_14":15,"_16":15,"_17":147,"_19":148,"_42":15,"_43":164,"_68":165},"a30fdb2c-b621-49bc-a88f-6d9d8be3119a",[149,152,155,158,161],{"_17":150,"_23":24,"_25":151},"5308af1d-e65c-40cd-94ce-61ce2ef1190c","1 e 2",{"_17":153,"_23":29,"_25":154},"995abf5e-986f-4655-a951-701cd6d2b5cc","1 e 2-",{"_17":156,"_23":33,"_25":157},"bd1c8c10-4c28-4a79-b759-f687c00376e5","1- e 3",{"_17":159,"_23":37,"_25":160},"2dcb4dec-5ad1-4cfe-946a-6c2df3c3b02e","1- e 3-",{"_17":162,"_23":41,"_25":163},"5752cc33-b93d-4f7e-adc4-5a8d1bf618fc","1 e 3","Considere o polinômio 3x^{2} + 2x + bx + c, tal que P(1) = 2 e P(2) = 6. Assim, os valores de b e c são, respectivamente,",[70,93,101],{"_14":15,"_16":15,"_17":167,"_19":168,"_42":15,"_43":181,"_68":182},"bcba27c1-092c-4a9f-b7c8-d7d3cf1ca51f",[169,172,175,178],{"_17":170,"_23":24,"_25":171},"6c1a2c64-f2b8-4883-ac05-22f20d7d44db","n é par e m é par.",{"_17":173,"_23":29,"_25":174},"7a9615d0-bd4c-45f9-89e9-dff76c754eb7","n é ímpar e m é ímpar.",{"_17":176,"_23":33,"_25":177},"c5c15099-db49-484a-a311-12511039c191","n é par e m é ímpar.",{"_17":179,"_23":37,"_25":180},"b8372ae9-4099-4195-89fd-b6940f742c68","n é ímpar e m é par.","Considere o polinômio n mp(x) = x^2 + x + 1, em que n e m são números inteiros. Se o resto da divisão de p(x) por x + 1 é igual a 3, então",[70,93,101],[70,93,101],"tagsTree",[186],{"_17":94,"_72":95,"_74":96,"_76":77,"_78":-5,"_80":97,"_82":97,"_83":98,"_91":96,"_187":188},"children",[189],{"_17":79,"_72":102,"_74":103,"_76":77,"_78":94,"_80":104,"_82":104,"_83":105,"_91":108,"_187":190},[191],{"_17":71,"_72":73,"_74":75,"_76":77,"_78":79,"_80":81,"_82":81,"_83":84,"_91":92,"_187":192},[],"actionData","errors"]

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