Questões - ITA | Gabarito e resoluções

(ITA - 2018 - 2 FASE) O tetraetilchumbo era adicionado gasolina na maioria dos pases at cerca de 1980. a) Escreva a equao qumica balanceada que representa a reao de combusto do composto tetraetilchumbo, considerando que o chumbo elementar o nico produto formado que contm chumbo. b) O 238Udecai a 206Pbcom tempo de meia-vida de 4,5 x 109anos. Uma amostra de sedimento colhida em 1970 continha 0,119 mgde 238Ue 2,163 mgde 206Pb.Assumindo que todo o 206Pb formado somente pelo decaimento do 238Ue que o 206Pb no sofre decaimento, estime a idade do sedimento. c) Justifique o resultado obtido no item b) sabendo que a idade do Universo de 13,7bilhes de anos. Dados: ln = 0,693; ln22 = 3,091

(ITA - 2018 - 1 FASE) O lugar geomtrico das solues da equao x2+ bx + 1 = 0, quando 2, b , representado no plano complexo por

(ITA - 2018 - 2 FASE) No plano cartesiano so dados o ponto e o tringulo de vrtices , e . Determine um ponto sobre o eixo dos de modo que a reta que passa pore divida o tringulo em duas regies de mesma rea.

(ITA - 2018 - 1 FASE) Em um tringulo de vrtices A, B e C so dados = /2, = /3 e o lado BC = 1 cm. Se o lado o dimetro de uma circunferncia, ento a rea da parte do tringulo ABC externa circunferncia, em cm2,

(ITA - 2018 - 1 FASE) WE RECORDED VCs CONVERSATIONS AND ANALYZED HOW DIFFERENTLY THEY TALK ABOUT FEMALE ENTREPRENEURS When venture capitalists (VCs) evaluate investment proposals, the language they use to describe the entrepreneurs who write them plays an important but often hidden role in shaping who is awarded funding and why. [] We were given access to government venture capital decision making meetings in Sweden and were able to observe the types of language that VCs used over a two-year period. One major thing stuck out: The language used to describe male and female entrepreneurs was radically different. And these differences have very real consequences for those seeking funding and for society in general. [] Worldwide, government venture capital is important for bridging significant financial gaps and supporting innovation and growth, as VCs can take risks where banks are not allowed to. When uncertainty is high regarding assessment of product and market potential, for example, the assessment of the entrepreneurs potential becomes highly central in government VCs decision making. In Sweden, about one-third of businesses are owned and run by women, 1although they are not granted a corresponding proportion of government funding. In fact, women-owned businesses receive much less only 13%18%, the rest going to male-owned companies. This brings us back to our research. From 2009 to 2010 we were invited to silently observe governmental VC decision-making meetings and, more important, the conversations they had about entrepreneurs applying for funding. [] We observed closed-room, face-to-face discussions leading final funding decisions for 125 venture applications. Of these, 99 (79%) were from male entrepreneurs and 26 (21%) were from female entrepreneurs. The group of government venture capitalists observed included seven individuals: two women and five men. [] 2Aside from a few exceptions, the financiers rhetorically produce stereotypical images of women as having qualities opposite to those considered important to being an entrepreneur, with VCs questioning their credibility, trustworthiness, experience, and knowledge. 3Conversely, when assessing male entrepreneurs, financiers leaned on stereotypical beliefs about men that reinforced their entrepreneurial potential. Male entrepreneurs were commonly described as being assertive, innovative, competent, experienced, knowledgeable, and having established networks. We developed male and female entrepreneur personas based on our findings []. These personas highlight a few key differences in how the entrepreneurs were perceived depending on their gender. Men were characterized as having entrepreneurial potential, while the entrepreneurial potential for women was diminished. Many of the young men and women were described as being young, though youth for men was viewed as promising, while young women were considered inexperienced. Men were praised for being viewed as aggressive or arrogant, while womens experience and excitement were tempered by discussions of their emotional shortcomings. Similarly, cautiousness was viewed very differently depending on the gender of the entrepreneur. Unsurprisingly, these stereotypes seem to have played a role in who got funding and who didnt. Women entrepreneurs were only awarded, on average, 25% of the applied-for amount, 4whereas men received, on average, 52% of what they asked for. Women were also denied financing to a greater extent than men, with close to 53% of women having their applications dismissed, compared with 38% of men. [] Such stereotyping will inevitably influence the distribution of financing, but could also have other major consequences. 5Because the purpose of government venture capital is to use tax money to stimulate growth and value creation for society as a whole, gender bias presents the risk that the money isnt being invested in businesses that have the highest potential. This isnt only damaging for women entrepreneurs; its potentially damaging for society as a whole. Fonte: Adaptado de Harvard Business Review https://hbr.org/2017/05/we-recorded-vcs-conversations-and-analyzedhow-differently-they-talk-about-female-entrepreneurs. Acesso em: 17 mai. 2017. A expresso sublinhada na primeira coluna pode ser substituda pela expresso que segue em todas as opes, EXCETO em

(ITA - 2018 - 1 Fase) O composto 3,3-dimetil-1-penteno reage com gua em meio cido e na ausncia de perxidos, formando um composto X que, a seguir, oxidado para formar um composto Y. Os compostos X e Y formados preferencialmente so, respectivamente,

(ITA - 2018 - 1 FASE) Com relao equao, podemos afirmar que

(ITA - 2018 - 1 FASE) Sejam A e B matrizes quadradastais queea matriz identidade. Das afirmaes: I. inversvel; II. inversvel; III.. (so) verdadeira(s)

(ITA - 2018 - 1 FASE) Se o sistema admite infinitas solues, ento os possveis valores do parmetro a so

(ITA - 2018 - 1 FASE) Considere a matriz A=,. Se o polinmio p(x) dado por p(x) = detA, ento o produto das razes de p(x)

(ITA - 2018 - 1 FASE) Considere a classificao: dois vrtices de um paraleleppedo so no adjacentes quando no pertencem mesma aresta. Um tetraedro formado por vrtices no adjacentes de um paraleleppedo de arestas 3 cm, 4 cm e 5 cm. Se o tetraedro tem suas arestas opostas de mesmo comprimento, ento o volume do tetraedro , em cm3:

(ITA - 2018 - 1 FASE) Os tringulos equilteros ABC e ABD tm lado comum AB. Seja M o ponto mdio de AB e N o ponto mdio de CD. Se MN = CN = 2 cm, ento a altura relativa ao lado CD do tringulo ACD mede, em cm,

(ITA - 2018 - 1 FASE) AUGMENTATION OF BRAIN FUNCTION: FACTS, FICTION AND CONTROVERSY Augmentation of brain function is no longer just a theme of science fiction. _____(I)_____ advances in neural sciences, 1it has become a matter of reality that a person may consider at some point in life, for example as a treatment of a neurodegenerative disease. Currently, several approaches offer enhancements for sensory, motor and cognitive brain functions, _____(II)_____ for mood and emotions. Such enhancements may be achieved pharmacologically, using brain implants for recordings, stimulation and drug delivery, _____(III)_____ employing brain-machine interfaces, or even by ablation of certain brain areas. In this Research Topic, we welcome papers critically evaluating the existing methods of brain augmentation, introducing new approaches and probing particular parts of brain circuitry and particular neuronal mechanisms as candidates for an enhancement. We welcome scientists from different fields: from neuroscience of microcircuits to systems neuroscience of large-scale networks and neural engineering. The work can be experimental or computational. Reviews and papers on philosophical and ethical issues are _____(IV)_____ welcome. While the scope of possible relevant topics is broad, the authors are encouraged to clearly indicate how their studies address the announced theme of brain augmentation. Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review. Fonte: http://journal.frontiersin.org/researchtopic/1563/augmentation-of-brain-function-facts-fiction-and-controversy. Acesso em: 15 jul. 2017. O texto um(a):

(ITA - 2018 - 1 FASE) AUGMENTATION OF BRAIN FUNCTION: FACTS, FICTION AND CONTROVERSY Augmentation of brain function is no longer just a theme of science fiction. _____(I)_____ advances in neural sciences, 1it has become a matter of reality that a person may consider at some point in life, for example as a treatment of a neurodegenerative disease. Currently, several approaches offer enhancements for sensory, motor and cognitive brain functions, _____(II)_____ for mood and emotions. Such enhancements may be achieved pharmacologically, using brain implants for recordings, stimulation and drug delivery, _____(III)_____ employing brain-machine interfaces, or even by ablation of certain brain areas. In this Research Topic, we welcome papers critically evaluating the existing methods of brain augmentation, introducing new approaches and probing particular parts of brain circuitry and particular neuronal mechanisms as candidates for an enhancement. We welcome scientists from different fields: from neuroscience of microcircuits to systems neuroscience of large-scale networks and neural engineering. The work can be experimental or computational. Reviews and papers on philosophical and ethical issues are _____(IV)_____ welcome. While the scope of possible relevant topics is broad, the authors are encouraged to clearly indicate how their studies address the announced theme of brain augmentation. Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review. Fonte: http://journal.frontiersin.org/researchtopic/1563/augmentation-of-brain-function-facts-fiction-and-controversy. Acesso em: 15 jul. 2017. Considere as seguintes afirmaes: I. A melhoria ou o aumento das funes cerebrais pode ser obtida via: estimulao farmacolgica, interface crebro-mquina, implantes cerebrais ou mesmo remoo de determinadas reas do crebro. II. Atualmente, abordagens para melhoria das funes cerebrais envolvem exclusivamente funes sensoriais, cognitivas e motoras. III. O aumento das funes cerebrais pode vir a ser usado no tratamento de doenas neurodegenerativas. Com base no texto, esto corretas

(ITA - 2018 - 1 FASE) Uma progresso aritmtica (a1, a2, . . . , an)satisfaz a propriedade: para cadaa soma da progresso igual a 2n + 5n.Nessas condies, o determinante da matriz