Questões - UNICAMP 2018 | Gabarito e resoluções

(UNICAMP - 2018 - 1 FASE) Lanando-se determinada moeda tendenciosa, a probabilidade de sair cara o dobro da probabilidade de sair coroa. Em dois lanamentos dessa moeda, a probabilidade de sair o mesmo resultado igual a

(UNICAMP - 2018 - 1 FASE)Seja a funo h(x)definida para todo nmero real xpor Ento, h(h(h(0))) igual a

(UNICAMP - 2018 - 1 FASE)A figura a seguir exibe o grfico de uma funo y=f(x)para O grfico de y=[f(x)] dado por

(UNICAMP - 2018 - 1 FASE) A figura abaixo exibe um setor circular dividido em duas regies de mesma rea. A razo igual a

(UNICAMP - 2018 - 1 FASE) Considere que o quadrado ABCD,representado na figura abaixo, tem lados de comprimento de 1 cm,e que C o ponto mdio do segmento AE. Consequentemente, a distncia entre os pontos D e E ser igual a

(UNICAMP - 2018 - 1 FASE) Seja xum nmero real tal que sen x + cos x = 0,2.Logo, igual a

(UNICAMP - 2018 - 1 FASE)Sejamenmeros reais tais que a matrizsatisfaz a equao,em que a matriz identidade de ordem 2. Logo, o produto igual a

(UNICAMP - 2018 - 1 FASE) Sabendo que k um nmero real, considere o sistema linear nas variveis reais x e y, correto afirmar que esse sistema

(UNICAMP - 2018 - 1 FASE) No plano cartesiano, sejam C a circunferncia de centro na origem e raio r 0 e s a reta de equao x + 3y = 10.A reta s intercepta a circunferncia C em dois pontos distintos se e somente se

(UNICAMP - 2018 - 1 FASE) Sejam p(x)e q(x)polinmios com coeficientes reais. Dividindo-se p(x)por q(x)obtm-se quociente e resto iguais a x2 + 1.Nessas condies, correto afirmar que

(UNICAMP - 2018 - 1 FASE)Sejam a e b nmeros reais no nulos. Se o nmero complexo z = a + bi uma raiz da equao quadrtica x2 + bx + a = 0,ento

(UNICAMP - 2018 - 1 FASE) FIGURA 1 FIGURA 2 Adaptado de 16 Tradues hilrias de placas e avisos em ingls feitos para a copa. Mega Curioso, 07/06/2014. Disponvel em http://www.megacurioso.com.br/copa-do-mundo-2014/44531-16- traducoes-hilarias-de-placas-e-avisos-em-ingles-feitos-para-acopa.htm. Acessado em 10/07/2017. Entre as inadequaes no uso do ingls observadas nas figuras 1 e 2, podemos citar:

(UNICAMP - 2018 - 1 FASE) Elderly flight passenger throws coins into engine for luck, delays take-off for hours China Southern Airlines Flight 380 was held up at the Shanghai Pudong International Airport after an elderly woman passenger caused a disruption, according to the airlines official WeChat account. An investigation into the incident is under way. Passengers boarding the flight reportedly saw an elderly woman throwing coins at the engine for blessings from the middle of the boarding staircase and alerted the crew. Ground staff said the woman, who appeared to be about 80 and had limited mobility, was accompanied by her husband, daughter and son-in-law. The captain was quoted as saying the metal, if sucked up by the engine, could have caused serious damage, including failure. The flight was later given a green light and took off at 5.52pm, more than five hours late. It is scheduled to arrive in Guangzhou at 8.14pm. Adaptado de Sarah Zheng, Elderly flight passenger throws coins into engine for luck, delays take-off for hours.South China Morning Post, 27/06/2017. Disponvel emhttp://www.scmp.com/news/china/society/article/2100242/elderlyflight-passenger-throws-coins-engine-luck-delays-take.Acessado em 10/07/2017. O que correto afirmar sobre o incidente relatado na notcia anterior?

(UNICAMP - 2018 - 1 FASE) (A) (B) Os panfletos acima foram distribudos na entrada de uma assembleia de estudantes universitrios, reunidos para discutir um pedido de reforma nos banheiros docampus. Assinale a opo correta :

(UNICAMP - 2018 - 1 FASE) ZOMBIE NEUROSCIENCE I dont know if cockroaches dream, but I imagine if they do, jewel wasps feature prominently in their nightmares. These small, solitary tropical wasps are of little concern to us humans; after all, they dont manipulate our minds so that they can serve us up as willing, living meals to their newborns, as they do to unsuspecting cockroaches. The story is simple, if grotesque: the female wasp controls the minds of the cockroaches she feeds to her offspring, taking away their sense of fear or will to escape their fate. What turns a once healthy cockroach into a mindless zombie its venom. Not just any venom, either: a specific venom that acts like a drug, targeting the cockroachs brain. (Adaptado de Christie Wilcox, Zombie Neuroscience.Scientific American, New York, v. 315, n. 2, p. 70-73, 2016.) De acordo com o autor: