Questões - ITA 2006 | Gabarito e resoluções

(ITA - 2006 - 1a fase) Seja p um polinmio com coeficientes reais, de grau 7, que admite 1 - i como raiz de multiplicidade 2. Sabe-se que a soma e o produto de todas as razes de p so, respectivamente, 10 e - 40. Sendo afirmado que trs razes de p so reais e distintas e formam uma progresso aritmtica, ento, tais razes so

(ITA - 2006 - 1a fase) TEXTO PARA A PRXIMA QUESTO: DREAM ON, AMERICA THE U.S. MODEL: For years, much of the world did aspire to the American way of life. But today countries are finding more appealing systems in their own backyards. BY ANDREW MORAVCSIK NOT LONG AGO, THE AMERICAN DREAM WAS a global fantasy. Not only Americans saw themselves as a beacon unto nations. So did much of the world. (...) You had only to listen to George W. Bushs Inaugural Address last week (invoking freedom and liberty 49 times) to appreciate just how deeply Americans still believe in this founding myth. For many in the world, the presidents rhetoric confirmed their worst fears of an imperial America relentlessly pursuing its narrow national interests. But the greater danger may be a delusional America - one that believes, despite all evidence to the contrary, that the American Dream lives on, that America remains a model for the world, one whose mission is to spread the word. The gulf between how Americans view themselves and how the world views them was summed up in a poll last week by the BBC. Fully 71 percent of Americans see the United States as a source of good in the world. More than half view Bushs election as positive for global security. Other studies report that 70 percent have faith in their domestic institutions and nearly 80 percent believe American ideas and customs should spread globally. FOREIGNERS TAKE AN ENTIRELY different view: 58 percent in the BBC poll see Bushs reelection as a threat to world peace. Among Americas traditional allies, the figure is strikingly higher: 77 percent in Germany, 64 percent in Britain and 82 percent in Turkey. Among the 1.3 billion members of the Islamic world, public support for the United States is measured in single digits. Only Poland, the Philippines and India viewed Bushs second Inaugural positively. Tellingly, the anti-Bushism of the presidents first 1term 2is giving way to a more general anti-Americanism. A plurality of voters (the average is 70 percent) in each of the 21 countries surveyed by the BBC oppose sending any troops to Iraq, including those in most of the 3countries that have done so. Only one third, disproportionately in the poorest and most dictatorial countries, would like to see American values spread in their country. Says Doug Miller of GlobeScan, which conducted the BBC report: President Bush has further isolated America from the world. Unless the administration changes its approach, it will continue to erode Americas good name, and hence its ability to effectively influence world affairs. (...) The truth is that Americans are living in a dream world. 6Not only do others not share Americas self-regard, they no longer aspire to emulate the countrys social and economic achievements. The loss of faith in the American Dream goes beyond this swaggering administration and its war in Iraq. A President 5Kerry ............... similar disaffection, for it grows from the success of something America holds dear: the spread of democracy, free markets and international institutions - globalization, in a word. Countries today have dozens of political, economic and social models to choose from. Anti- Americanism is especially virulent in Europe and Latin America, where countries have established their own distinctive ways - none made in America. Futurologist Jeremy Rifkin, in his recent book The European Dream, hails an emerging European Union based on generous social welfare, cultural diversity and respect for international law - a model thats caught on quickly across the former nations of Eastern Europe and the Baltics. In Asia, the rise of autocratic capitalism in China or Singapore is as much a model for development as Americas scandal-ridden corporate culture. (...) Many are tempted 4to write off the new anti- Americanism as a temporary perturbation, or mere resentment. Blinded by its own myth, America has grown incapable of recognizing its flaws. For there is much about the American Dream to fault. If the rest of the world has lost faith in the American model - political, economic, diplomatic - its partly for the very good reason that it doesnt work as well anymore. MORAVCSIK teaches politics and directs the European Union Program at Princeton University. NEWSWEEK, January 31, 2005, Pginas 17-19 Leia atentamente todo o perodo transcrito a seguir, verifique as ideias contidas nas oraes introduzidas por UNLESS e HENCE e assinale a opo que, respectivamente, expressa tais ideias. Unless the administration changes its approach, it will continue to erode Americas good name, and hence its ability to effectively influence world affairs.

(ITA - 2006 - 1a fase) A figura mostra uma placa de vidro com ndice de refrao nv = mergulhadano ar, cujo ndice de refrao igual a 1,0. Para que um feixe de luz monocromtica se propague pelo interior do vidro atravs de sucessivas reflexes totais, o seno do ngulo de entrada, sene, dever ser menor ou igual a:

(ITA - 2006 - 1fase) Do interior da floresta, no alto das montanhas, em pequenos grotes cercados de muito verde, a gua cristalina brota da terra e vai buscando seu caminho por entre as pedras. Ao unir-se s guas de outras nascentes, o filete dessa gua cristalina vai se transformando em riachos, crregos e rios. Descendo a serra em busca do mar, rumo plancie litornea, as guas vo esculpindo as rochas, formando corredeiras e se lanando pelos vales em cachoeiras que formam os mais belos cenrios da Mata Atlntica com suas piscinas naturais. [...] (Folheto do Parque Estadual da Serra do Mar - Ncleo de Santa Virgnia.) A descrio no texto apresenta uma paisagem que parece estar em movimento. Esse movimento construdo basicamente pelo emprego de

(ITA - 2006 - 1a fase) DREAM ON, AMERICA THE U.S. MODEL: For years, much of the world did aspire to the American way of life. But today countries are finding more appealing systems in their own backyards. BY ANDREW MORAVCSIK NOT LONG AGO, THE AMERICAN DREAM WAS a global fantasy. Not only Americans saw themselves as a beacon unto nations. So did much of the world. (...) You had only to listen to George W. Bushs Inaugural Address last week (invoking freedom and liberty 49 times) to appreciate just how deeply Americans still believe in this founding myth. For many in the world, the presidents rhetoric confirmed their worst fears of an imperial America relentlessly pursuing its narrow national interests. But the greater danger may be a delusional America - one that believes, despite all evidence to the contrary, that the American Dream lives on, that America remains a model for the world, one whose mission is to spread the word. The gulf between how Americans view themselves and how the world views them was summed up in a poll last week by the BBC. Fully 71 percent of Americans see the United States as a source of good in the world. More than half view Bushs election as positive for global security. Other studies report that 70 percent have faith in their domestic institutions and nearly 80 percent believe American ideas and customs should spread globally. FOREIGNERS TAKE AN ENTIRELY different view: 58 percent in the BBC poll see Bushs reelection as a threat to world peace. Among Americas traditional allies, the figure is strikingly higher: 77 percent in Germany, 64 percent in Britain and 82 percent in Turkey. Among the 1.3 billion members of the Islamic world, public support for the United States is measured in single digits. Only Poland, the Philippines and India viewed Bushs second Inaugural positively. Tellingly, the anti-Bushism of the presidents first1term2is giving way to a more general anti-Americanism. A plurality of voters (the average is 70 percent) in each of the 21 countries surveyed by the BBC oppose sending any troops to Iraq, including those in most of the3countries that have done so. Only one third, disproportionately in the poorest and most dictatorial countries, would like to see American values spread in their country. Says Doug Miller of GlobeScan, which conducted the BBC report: President Bush has further isolated America from the world. Unless the administration changes its approach, it will continue to erode Americas good name, and hence its ability to effectively influence world affairs. (...) The truth is that Americans are living in a dream world.6Not only do others not share Americas self-regard, they no longer aspire to emulate the countrys social and economic achievements. The loss of faith in the American Dream goes beyond this swaggering administration and its war in Iraq. A President5Kerry ............... similar disaffection, for it grows from the success of something America holds dear: the spread of democracy, free markets and international institutions - globalization, in a word. Countries today have dozens of political, economic and social models to choose from. Anti- Americanism is especially virulent in Europe and Latin America, where countries have established their own distinctive ways - none made in America. Futurologist Jeremy Rifkin, in his recent book The European Dream, hails an emerging European Union based on generous social welfare, cultural diversity and respect for international law - a model thats caught on quickly across the former nations of Eastern Europe and the Baltics. In Asia, the rise of autocratic capitalism in China or Singapore is as much a model for development as Americas scandal-ridden corporate culture. (...) Many are tempted4to write off the new anti- Americanism as a temporary perturbation, or mere resentment. Blinded by its own myth, America has grown incapable of recognizing its flaws. For there is much about the American Dream to fault. If the rest of the world has lost faith in the American model - political, economic, diplomatic - its partly for the very good reason that it doesnt work as well anymore. MORAVCSIK teaches politics and directs the European Union Program at Princeton University.NEWSWEEK, January 31, 2005, Pginas 17-19 A expresso to write off, no incio do ltimo pargrafo do texto, quer dizer

(ITA - 2006 - 1 FASE) Do interior da floresta, no alto das montanhas, em pequenos grotes cercados de muito verde, a gua cristalina brota da terra e vai buscando seu caminho por entre as pedras. Ao unir-se s guas de outras nascentes, o filete dessa gua cristalina vai se transformando em riachos, crregos e rios. Descendo a serra em busca do mar, rumo plancie litornea, as guas vo esculpindo as rochas, formando corredeiras e se lanando pelos vales em cachoeiras que formam os mais belos cenrios da Mata Atlntica com suas piscinas naturais. [...] (Folheto do Parque Estadual da Serra do Mar - Ncleo de Santa Virgnia.) O segmento do texto em que a preposio de estabelece uma relao de posse

(ITA - 2006 - 1a fase) Um solenoide com ncleo de ar tem uma auto-indutncia L. Outro solenoide, tambm com ncleo de ar, tem a metade do nmero de espiras do primeiro solenoide, 0,15 do seu comprimento e 1,5 de sua seo transversal. A auto-indutncia do segundo solenoide :

(ITA - 2006 - 1a fase) Um recipiente fechado, mantido a volume e temperatura constantes, contm a espcie qumica X no estado gasoso a presso inicial P0. Esta espcie decompe-se em Y e Z de acordo com a seguinte equao qumica: X(g) 2 Y(g) + 1/2 Z(g). Admita que X, Y e Z tenham comportamento de gases ideais. Assinale a opo que apresenta a expresso CORRETA da presso (P) no interior do recipiente em funo do andamento da reao, em termos da frao de molculas de X que reagiram.

(ITA - 2006 - 1 FASE) Considere o texto a seguir. Diferente de cidades onde imveis de frente para o mar so mais valorizados, a escassez de verde faz a vez da vista para o Atlntico em So Paulo. Bairros que fazem fronteira ou que so vizinhos a grandes parques merecem destaque e seduzem por oferecer uma qualidade de vida bastante rara na cidade. Um desses parques, que passou algum tempo despercebido, o Parque do Piqueri, com uma frequncia relativamente baixa de visitantes e cheio de rvores frondosas, lago e patos, agora vira a bola da vez na regio Leste da cidade. [...] (Propaganda para o lanamento de um prdio de apartamentos na cidade de So Paulo. In: Folha de S. Paulo, 12/02/2005.) Assinale a opo em que o verbo NO o mais apropriado semanticamente ao contexto.

(ITA - 2006 - 1a fase) DREAM ON, AMERICA THE U.S. MODEL: For years, much of the world did aspire to the American way of life. But today countries are finding more appealing systems in their own backyards. BY ANDREW MORAVCSIK NOT LONG AGO, THE AMERICAN DREAM WAS a global fantasy. Not only Americans saw themselves as a beacon unto nations. So did much of the world. (...) You had only to listen to George W. Bushs Inaugural Address last week (invoking freedom and liberty 49 times) to appreciate just how deeply Americans still believe in this founding myth. For many in the world, the presidents rhetoric confirmed their worst fears of an imperial America relentlessly pursuing its narrow national interests. But the greater danger may be a delusional America - one that believes, despite all evidence to the contrary, that the American Dream lives on, that America remains a model for the world, one whose mission is to spread the word. The gulf between how Americans view themselves and how the world views them was summed up in a poll last week by the BBC. Fully 71 percent of Americans see the United States as a source of good in the world. More than half view Bushs election as positive for global security. Other studies report that 70 percent have faith in their domestic institutions and nearly 80 percent believe American ideas and customs should spread globally. FOREIGNERS TAKE AN ENTIRELY different view: 58 percent in the BBC poll see Bushs reelection as a threat to world peace. Among Americas traditional allies, the figure is strikingly higher: 77 percent in Germany, 64 percent in Britain and 82 percent in Turkey. Among the 1.3 billion members of the Islamic world, public support for the United States is measured in single digits. Only Poland, the Philippines and India viewed Bushs second Inaugural positively. Tellingly, the anti-Bushism of the presidents first1term2is giving way to a more general anti-Americanism. A plurality of voters (the average is 70 percent) in each of the 21 countries surveyed by the BBC oppose sending any troops to Iraq, including those in most of the3countries that have done so. Only one third, disproportionately in the poorest and most dictatorial countries, would like to see American values spread in their country. Says Doug Miller of GlobeScan, which conducted the BBC report: President Bush has further isolated America from the world. Unless the administration changes its approach, it will continue to erode Americas good name, and hence its ability to effectively influence world affairs. (...) The truth is that Americans are living in a dream world.6Not only do others not share Americas self-regard, they no longer aspire to emulate the countrys social and economic achievements. The loss of faith in the American Dream goes beyond this swaggering administration and its war in Iraq. A President5Kerry ............... similar disaffection, for it grows from the success of something America holds dear: the spread of democracy, free markets and international institutions - globalization, in a word. Countries today have dozens of political, economic and social models to choose from. Anti- Americanism is especially virulent in Europe and Latin America, where countries have established their own distinctive ways - none made in America. Futurologist Jeremy Rifkin, in his recent book The European Dream, hails an emerging European Union based on generous social welfare, cultural diversity and respect for international law - a model thats caught on quickly across the former nations of Eastern Europe and the Baltics. In Asia, the rise of autocratic capitalism in China or Singapore is as much a model for development as Americas scandal-ridden corporate culture. (...) Many are tempted4to write off the new anti- Americanism as a temporary perturbation, or mere resentment. Blinded by its own myth, America has grown incapable of recognizing its flaws. For there is much about the American Dream to fault. If the rest of the world has lost faith in the American model - political, economic, diplomatic - its partly for the very good reason that it doesnt work as well anymore. MORAVCSIK teaches politics and directs the European Union Program at Princeton University.NEWSWEEK, January 31, 2005, Pginas 17-19 Assinale a opo que contm a ideia principal do texto.

(ITA - 2006 - 1a fase) Um moI de um gs ideal ocupa um volume inicial V0 temperatura T0 e presso P0, sofrendo a seguir uma expanso reversvel para um volume V1. Indique a relao entre o trabalho que realizado por: (i) W(i), num processo em que a presso constante. (ii) W(ii), num processo em que a temperatura constante. (iii) W(iii), num processo adiabtico.

(ITA - 2006- 1a fase) Seja o sistema lineares nas incgnitas x e y, com a e b reais, dado por Considere as seguintes afirmaes: I. O sistema possvel e indeterminado se a=b=0. II. O sistema possvel e determinado se a e b no so simultaneamente nulos. III. Ento, pode-se afirmar que (so) verdadeira(s) apenas

(ITA - 2006 - 1a fase) So dadas as semi-equaes qumicas seguintes e seus respectivos potenciais eltricos na escala do eletrodo de hidrognio nas condies-padro: Com base nestas informaes, assinale a opo que contm a afirmao CORRETA, considerando as condies-padro.

(ITA - 2006 - 1a fase) Considere o polinmio p(x) = x3 - (a + 1)x + a, onde a . O conjunto de todos os valores de a, para os quais o polinmio p(x) s admite razes inteiras,

(ITA - 2006 - 1a fase) DREAM ON, AMERICA THE U.S. MODEL: For years, much of the world did aspire to the American way of life. But today countries are finding more appealing systems in their own backyards. BY ANDREW MORAVCSIK NOT LONG AGO, THE AMERICAN DREAM WAS a global fantasy. Not only Americans saw themselves as a beacon unto nations. So did much of the world. (...) You had only to listen to George W. Bushs Inaugural Address last week (invoking freedom and liberty 49 times) to appreciate just how deeply Americans still believe in this founding myth. For many in the world, the presidents rhetoric confirmed their worst fears of an imperial America relentlessly pursuing its narrow national interests. But the greater danger may be a delusional America - one that believes, despite all evidence to the contrary, that the American Dream lives on, that America remains a model for the world, one whose mission is to spread the word. The gulf between how Americans view themselves and how the world views them was summed up in a poll last week by the BBC. Fully 71 percent of Americans see the United States as a source of good in the world. More than half view Bushs election as positive for global security. Other studies report that 70 percent have faith in their domestic institutions and nearly 80 percent believe American ideas and customs should spread globally. FOREIGNERS TAKE AN ENTIRELY different view: 58 percent in the BBC poll see Bushs reelection as a threat to world peace. Among Americas traditional allies, the figure is strikingly higher: 77 percent in Germany, 64 percent in Britain and 82 percent in Turkey. Among the 1.3 billion members of the Islamic world, public support for the United States is measured in single digits. Only Poland, the Philippines and India viewed Bushs second Inaugural positively. Tellingly, the anti-Bushism of the presidents first 1term 2is giving way to a more general anti-Americanism. A plurality of voters (the average is 70 percent) in each of the 21 countries surveyed by the BBC oppose sending any troops to Iraq, including those in most of the 3countries that have done so. Only one third, disproportionately in the poorest and most dictatorial countries, would like to see American values spread in their country. Says Doug Miller of GlobeScan, which conducted the BBC report: President Bush has further isolated America from the world. Unless the administration changes its approach, it will continue to erode Americas good name, and hence its ability to effectively influence world affairs. (...) The truth is that Americans are living in a dream world. 6Not only do others not share Americas self-regard, they no longer aspire to emulate the countrys social and economic achievements. The loss of faith in the American Dream goes beyond this swaggering administration and its war in Iraq. A President 5Kerry ............... similar disaffection, for it grows from the success of something America holds dear: the spread of democracy, free markets and international institutions - globalization, in a word. Countries today have dozens of political, economic and social models to choose from. Anti- Americanism is especially virulent in Europe and Latin America, where countries have established their own distinctive ways - none made in America. Futurologist Jeremy Rifkin, in his recent book The European Dream, hails an emerging European Union based on generous social welfare, cultural diversity and respect for international law - a model thats caught on quickly across the former nations of Eastern Europe and the Baltics. In Asia, the rise of autocratic capitalism in China or Singapore is as much a model for development as Americas scandal-ridden corporate culture. (...) Many are tempted 4to write off the new anti- Americanism as a temporary perturbation, or mere resentment. Blinded by its own myth, America has grown incapable of recognizing its flaws. For there is much about the American Dream to fault. If the rest of the world has lost faith in the American model - political, economic, diplomatic - its partly for the very good reason that it doesnt work as well anymore. MORAVCSIK teaches politics and directs the European Union Program at Princeton University. NEWSWEEK, January 31, 2005, Pginas 17-19 Na meno a Kerry (ref. 5), candidato derrotado nas ltimas eleies presidenciais nos Estados Unidos, h omisso do verbo. Assinale a forma verbal que preenche corretamente aquela lacuna.