Questões - ITA | Gabarito e resoluções

(ITA - 2005 - 1 FASE ) Seja z com . Ento, a expresso assume o valor

(ITA - 2005 - 1 FASE )As questes de 11 a 17 referem-se aos seguintes pargrafos: 1 The smaller boys were known by the generic title of littluns. The decrease in size, from Ralph down, was gradual; and though there was a dubious region inhabited by Simon and Robert and Maurice, nevertheless no one had any 5 difficulty in recognizing biguns at one end and littluns at the other. The undoubted liltluns, those aged about six, led a quite distinct, and at the same time intense, life of their own. They ate most of the day, picking fruit where they could reach it and not particular about ripeness and quality. They were 0 used now to stomach-aches and a sort of chronic diarrhoea. They suffered untold terrors in the dark and huddled together for comfort. Apart from food and sleep, they found time for play, aimless and trivial, among the white sand by the bright water. They cried for their mothers much less often than 15 might have been expected; they were very brown, and filthily dirty. They obeyed the summons of the conch, partly because Ralph blew it, and he was big enough to be a link with the adult world of authority; and partly because they enjoyed the entertainment of the assemblies. But otherwise they seldom 20 bothered with the biguns and their passionately emotional and corporate life was their own. They had built castles in the sand at the bar of the little river. These castles were about one foot high and were decorated with shells, withered flowers, and interesting 25 stones. Round the castles was a complex of marks, tracks, walls, railway lines, that were of significance only if inspected with the eye at beach-level. The littluns played here, if not happily at least with absorbed attention; and often as many as three of them would play the same game together. 30 Os termos withered em withered flowers (linha 14): railway lines (linha 15): absorbed em absorbed attention (linha 16) e often em and often as many as three of them ( linha 16) tm, respectivamente, as funes gramaticais de

(ITA - 2005) Considere as seguintes equaes que representam reaes qumicas genricas e suas respectivas equaes de velocidade: I. A produtos; v(I) = k(I) [A] II. 2B produtos; v(II) = k(II) [B]2 Considerando que, nos grficos, [X] representa a concentrao de A e de B para as reaes I e II, respectivamente, assinale a opo que contm o grfico que melhor representa a lei de velocidade das reaes I e II.

(ITA - 2005 - 1 FASE )A questo 18 refere-se ao texto a seguir: North American Women Sweep Top Honors at Intel Competition For the first time in the history of the Intel International Science and Engineering Fair, the top three award winners were women. Each of the three high-school students won an Intel Foundation Young Scientist Award at the fair, held last May in Cleveland Ohio. Elena Glassman from Doylestown, Pennsylvania, Lisa Glukhovsky from New Milford, Connecticut, and Anila Madiraju from Montreal each won a $ 50 000 scholarship and a personal computer. For her project, Glukhovsky, a junior, used simultaneous images of near-Earth objects (asteroids) from two observatory sites and a computer spreadsheet she created to determine the distance from Earth to asteroids. Her results closely agreed with NASA predictions. Glassman, a junior, designed a compuler science project that used electrical signals from the brain To detect whether a person intends to make a left-handed movement. A potential application is to enable handicapped individuals to operate a computer. Madiraju, a senior, showed that a method involving the use of a type of RNA to target and kill cancerous cells is effective without the toxic side effects typically associated with anticancer drugs. This year, students from 36 countries competed for $ 3 million in scholarships and awards. Next years competition will be held in Portland, Oregon, in May. (Tweed, A. Physics Today. August 2003) Considere as seguintes asseres: I. A estudante Lisa Glukhovsky desenvolveu uma planilha que ser utilizada pela NASA para determinar a distncia entre a Terra e asterides. II. O projeto de Elena Glassman poder auxiliar deficientes no uso de computadores. III.O objetivo do projeto de Anila Madiraju o desenvolvimento de um mtodo para atingir e eliminar clulas cancergenas que no provoca efeitos colaterais, normalmente associados a medicamentos dessa natureza. Ento, das afirmaes acima, est(o) correta(s)

(ITA - 2005 - 1 FASE )Um avio de vigilncia area est voando a uma altura de 5,0 km, com velocidade de 50 10 m/s no rumo norte, e capta no radiogonimetro um sinal de socorro vindo da direo noroeste, de um ponto fixo no solo. O piloto ento liga o sistema de ps-combusto da turbina, imprimindo uma acelerao constante de 6,0 m/s2. Aps s, mantendo a mesma direo, ele agora constata que o sinal est chegando da direo oeste. Neste instante, em relao ao avio, o transmissor do sinal se encontra a uma distncia de

(ITA - 2005 - 1 FASE ) O sistema linear no admite soluo se e somente se o nmero real b for igual a

(ITA - 2005 - 1 FASE ) Em uma impressora a jato de tinta, gotas de certo tamanho so ejetadas de umpulverizador em movimento, passam por uma unidade eletrosttica onde perdem algunseltrons, adquirindo uma carga q, e, a seguir, se deslocam no espao entre placas planasparalelas eletricamente carregadas, pouco antes da impresso. Considere gotas de raio igual a 10 m lanadas com velocidade de mdulo v = 20 m/s entreplacas de comprimento igual a 2,0 cm, no interior das quais existe um campo eltrico verticaluniforme, cujo mdulo E=8,0x104N/C (veja figura). Considerando que a densidade da gotaseja de 1000 kg/m3 e sabendo-se que a mesma sofre um desvio de 0,30 mm ao atingir o finaldo percurso, o mdulo da sua carga eltrica de

(ITA - 2005 - 1 FASE )A 25 C borbulha-se H2S(g) em uma soluo aquosa 0,020 mol.L1 em MnCl2, contida em um erlenmeyer, at que seja observado o incio de precipitao de MnS(s). Neste momento, a concentrao de H+ na soluo igual a 2,5x107 mol.L1. Dados eventualmente necessrios, referentes termperatura de 25 C: I. MnS(s) + H2O(l) Mn2+ (aq) + HS (aq) + OH (aq) ; KI = 3x1011 II. H2S(aq) HS (aq) + H+ (aq) ; KII = 9,5x108 III. H2O(l) OH (aq) + H+ (aq) ; KIII = 1,0x1014 ASSINALE a opo que contm o valor da concentrao, em mol.L1, de H2S na soluo no instante que observada a formao de slido:

(ITA - 2005 - 1 FASE )As questes 19 e 20 referem-se ao seguinte texto, extrado da contracapa de um livro: The five topics discussed here are of interest both for specialists in these fields, and for anyone who would like to get an overview of the Universitys problems today. A circumstantial change in the events order of issues showed us how strongly they are all linked together, something which will now allow the reader to go through the book according to his personal preferences. Rather than proposing conclusive answers to all these problems, the papers and debates here gathered intend to stimulate reflections about the roles and possibilities of the University. (Bolle, W.,ed. The University of the 21st Century. 2001) O principal objetivo do texto

(ITA - 2005 - 1 FASE ) Retiram-se 3 bolas de uma urna que contm 4 bolas verdes, 5 bolas azuis e 7 bolas brancas. Se P1 a probabilidade de no sair bola azul e P2 a probabilidade de todas as bolas sarem com a mesma cor, ento a alternativa que mais se aproxima de P1 + P2

(ITA - 2005 - 1 FASE )A distncia focal e a excentricidade da elipse com centro na origem e que passa pelos pontos (1, 0) e (0, 2) so, respectivamente,

(ITA - 2005 - 1 FASE ) A presso exercida pela gua no fundo de um recipiente aberto que a contm igual a . Colocado o recipiente num elevador hipottico em movimento,verifica-se que a presso no seu fundo passa a ser de . Considerando queP(atm) a presso atmosfrica, que a massa especfica da gua de 1,0 g/cm e que osistema de referncia tem seu eixo vertical apontado para cima, conclui-se que a acelerao doelevador de:

(ITA - 2005 - 1 FASE ) Dois frascos abertos, um contendo gua pura lquida (frasco A) e o outrocontendo o mesmo volume de uma soluo aquosa concentrada em sacarose (frasco B), socolocados em um recipiente que, a seguir, devidamente fechado. CORRETO afirmar,ento, que, decorrido um longo perodo de tempo,

(ITA - 2005 - 1 FASE )As questes 19 e 20 referem-se ao seguinte texto, extrado da contracapa de um livro: The five topics discussed here are of interest both for specialists in these fields, and for anyone who would like to get an overview of the Universitys problems today. A circumstantial change in the events order of issues showed us how strongly they are all linked together, something which will now allow the reader to go through the book according to his personal preferences. Rather than proposing conclusive answers to all these problems, the papers and debates here gathered intend to stimulate reflections about the roles and possibilities of the University. (Bolle, W.,ed. The University of the 21st Century. 2001) O termo here, nas linhas 1 e 5, refere-se

(ITA - 2005 - 2 FASE )Seja a1, a2, ... uma progresso aritmtica infinita tal que , para Determine o primeiro termo e a razo da progresso.