Questões e gabarito - IME 2006

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Questão
2006Matemática

Sejame termos de uma sequência. Determine, em função de n, os valores de r e s que tornam esta sequência em uma PA, tal que r, se.

Questão
2006Português

(IME-2007) Texto II Mancha de Dendê não sai Bota pra quarar, Dona Marília. Bota pra quarar.... Saem o sol e a lua Sai mamãe e sai papai 5 Bloco vai pra rua Mancha de Dendê não sai Como é, maninha, Como é, cai ou não cai? Você sai da linha 10 Mancha de Dendê não sai. Há uma pobre mancha Você olha e ninguém vê Coitadinha, é uma mancha De azeite-de-dendê. 15 Coração na sua Deixe aí enquanto viver Mancha continua, Só não desmancha prazer. Moraes Moreira - 1984 Sobre o texto de Moraes Moreira, observe as alternativas abaixo, marque (V) VERDADEIRO ou (F) FALSO e indique a seqüência que deve ser considerada correta. I - ( ) O autor manda Dona Marília colocar alguma coisa (roupa) em exposição ao sol (quarar), para que se retire uma mancha causada pelo azeite-de-dendê. II - ( ) Dona Marília deixa a roupa em exposição ao sol durante muito tempo, desde o amanhecer até a noite, mas, com tudo isso, a mancha de dendê não sai. III - ( ) O autor diz que a mancha é quase imperceptível, mas como é de azeite-de-dendê, é necessário retirá-la, senão pode até desmanchar o prazer de viver. IV - ( ) Depois de tanto tentar e não obter êxito, conclui-se que o melhor a fazer é deixar a roupa manchada, pois o importante é não se aborrecer.

Questão
2006Português

(IME-2007) Há uma pobre mancha Você olha e ninguém vê Coitadinha, é uma mancha De azeite-de-dendê. Fora da ideia de tamanho, as formas aumentativas e diminutivas podem traduzir desprezo, crítica, pouco caso, dentre outras características. Indique a opção em que o substantivo flexionado quanto ao seu grau, transmite-nos a mesma ideia da palavra Coitadinha, encontrada no texto de Moraes Moreira.

Questão
2006Redação

(IME-2006)Produção de texto A primeira usina de biodiesel de dendê do Amazonas já está instalada no Campo Experimental da Embrapa Amazônia Ocidental Empresa vinculada ao Ministério da Agricultura, Pecuária e Abastecimento no município de Rio Preto da Eva. A indústria vai processar o óleo de dendê produzido pela Embrapa, com álcool etílico, numa unidade com capacidade para fabricar até 3 mil litros de óleo/dia. Segundo informações de engenheiros químicos do Instituto Militar de Engenharia (IME), a usina é composta de tanques de aço onde será produzido o biodiesel por transesterificação, que é a reação de álcool etílico com o óleo de dendê. O produto que se obtém é um biocombustível com características semelhantes às do diesel de petróleo. Óleos vegetais como o de dendê, soja e pinhão manso já foram testados pelo IME e apresentaram bons resultados. Tupinambá, Maria José. Embrapa inaugura primeira usina de biodiesel de dendê do Amazonas. Disponível em http://agrosoft.com Acesso em 21 ago 2007. (com adaptações). Elabore um texto dissertativo, em torno de 30 linhas, com base em APENAS UM dos temas abaixo. 1) Os investimentos de pesquisas no Brasil e seus efeitos no processo sócio-econômico do país. 2) Folclore, culinária, costumes, raças e credos diversos fazem parte da história do nosso povo. Vantagens e desvantagens de se viver em um país pluricultural. 3) A diversidade lingüística no Brasil é muito grande. Aqui percebemos diferenças não só entre regiões, mas também entre grupos sociais de uma mesma região. Isto se deve ao tempo e à nossa história, que, por sua vez, justificariam a existência de uma Língua Brasileira.

Questão
2006Inglês

(IME 2006) Leia o texto “New planet definition sparks furore” e responda, EM PORTUGUÊS, as perguntas que se seguem.  New planet definition sparks furore The new planet definition that relegates Pluto to "dwarf planet" status is drawing intense criticism from astronomers. It appears likely that the definition will not be widely adopted by astronomers for everyday use, even though it is the International Astronomical Union's (IAU) official position. On Thursday, astronomers at the IAU meeting in Prague approved a resolution that says the solar system has only eight planets, with Pluto excluded. Pluto is considered a "dwarf planet" instead. But the new definition has provoked a backlash. Alan Stern, who heads NASA's New Horizons mission to Pluto and works at the Southwest Research Institute in Boulder, Colorado, US, says the new definition is "awful". "The definition introduced is fundamentally flawed," he told New Scientist. "As a scientist, I'm embarrassed." Four planets He says only four of the eight objects mentioned in the IAU definition actually meet the definition's criteria – and Earth, Mars, Jupiter and Neptune do not. That is because the definition stipulates that to be a planet, an object must have cleared the neighbourhood around its orbit. But Earth's orbital neighbourhood is filled with thousands of near-Earth asteroids, Stern says. And Mars, Jupiter and Neptune have so-called "Trojan" asteroids sharing their orbits. "This is a half-baked criterion for planethood," he says. He says the new definition was pushed by people who are unhappy with having large numbers of planets (an earlier proposal, which was abandoned after heavy criticism at the meeting, would have potentially allowed hundreds of new planets into the fold). "It's just people that say things like, 'School kids will have to memorise too many names.' Do we limit the number of stars because children have to think of too many names? Or rivers on the Earth? It's just crazy," Stern told New Scientist. Minority report Stern is also critical of the fact that only astronomers present for the vote, which occurred at the end of the two-week meeting, were allowed to have their say on the matter. No email voting was allowed for the decision – it was made by a show of hands – and that meant that less than 5% of the nearly 9000 IAU members actually voted. "You're going to see a real backlash in the coming weeks," he says. "I know there is a petition among planetary scientists that's getting a lot of support." In any case, he says, astronomers are not obligated to use the new definition, since the IAU does not have the power to enforce it. "I don't think it's going to be very widely followed," he says. David Weintraub, author of the upcoming book Is Pluto a Planet? and a researcher at Vanderbilt University in Nashville, Tennessee, US, says he thinks Pluto is still a planet – even under the new definition.  Grammar issue "As best I can tell, 'dwarf' is an adjective and 'planet' is a noun," he told New Scientist. "I think the IAU thinks they defined Pluto to not be a planet. But they in fact have defined Pluto to be a planet – a particular kind of planet." Astronomers who proposed the new definition respond that the term "dwarf planet" is meant to be thought of as a single concept. And others point out that "minor planets" – asteroids and other small bodies – are not considered planets. But he agrees with Stern that the stipulation that a planet clears out its neighbourhood is flawed. A better definition would say a planet is an object that orbits a star and is large enough to be spherical, but is not large enough to be a brown dwarf – a "failed" star with between about 13 and 75 times the mass of Jupiter – or a star, he says.  'This is crazy'  "Everyone agrees on those criteria," he says. "The question is, can we agree on additional criteria to refine the definition further? I think the answer is no." "Everybody who has communicated with me is saying, 'This is crazy and we don't agree with it,'" he adds. "I'm not convinced that the folks who were at the meeting represented well the larger community." But not everyone is unhappy with the decision. Richard Conn Henry of Johns Hopkins University in Baltimore, Maryland, US, says he is pleased with the outcome. "As far as I'm concerned, the right decision was made," he told New Scientist. "I know a planet when I see it and there are eight of them." He says it makes no sense to call Pluto a planet because it is just one of huge numbers of objects in the Kuiper Belt beyond Neptune. (Adaptado de New Scientist Space, August 2006) __________________________________________________________________________________________________________________________________________________________________________________________ Richard Conn Henry, of Johns Hopkins University, says he is pleased with the outcome. Find in the text one argument that supports his position.

Questão
2006Inglês

(IME 2006) Leia o texto “New planet definition sparks furore” e responda, EM PORTUGUÊS, as perguntas que se seguem.  New planet definition sparks furore The new planet definition that relegates Pluto to "dwarf planet" status is drawing intense criticism from astronomers. It appears likely that the definition will not be widely adopted by astronomers for everyday use, even though it is the International Astronomical Union's (IAU) official position. On Thursday, astronomers at the IAU meeting in Prague approved a resolution that says the solar system has only eight planets, with Pluto excluded. Pluto is considered a "dwarf planet" instead. But the new definition has provoked a backlash. Alan Stern, who heads NASA's New Horizons mission to Pluto and works at the Southwest Research Institute in Boulder, Colorado, US, says the new definition is "awful". "The definition introduced is fundamentally flawed," he told New Scientist. "As a scientist, I'm embarrassed." Four planets He says only four of the eight objects mentioned in the IAU definition actually meet the definition's criteria – and Earth, Mars, Jupiter and Neptune do not. That is because the definition stipulates that to be a planet, an object must have cleared the neighbourhood around its orbit. But Earth's orbital neighbourhood is filled with thousands of near-Earth asteroids, Stern says. And Mars, Jupiter and Neptune have so-called "Trojan" asteroids sharing their orbits. "This is a half-baked criterion for planethood," he says. He says the new definition was pushed by people who are unhappy with having large numbers of planets (an earlier proposal, which was abandoned after heavy criticism at the meeting, would have potentially allowed hundreds of new planets into the fold). "It's just people that say things like, 'School kids will have to memorise too many names.' Do we limit the number of stars because children have to think of too many names? Or rivers on the Earth? It's just crazy," Stern told New Scientist. Minority report Stern is also critical of the fact that only astronomers present for the vote, which occurred at the end of the two-week meeting, were allowed to have their say on the matter. No email voting was allowed for the decision – it was made by a show of hands – and that meant that less than 5% of the nearly 9000 IAU members actually voted. "You're going to see a real backlash in the coming weeks," he says. "I know there is a petition among planetary scientists that's getting a lot of support." In any case, he says, astronomers are not obligated to use the new definition, since the IAU does not have the power to enforce it. "I don't think it's going to be very widely followed," he says. David Weintraub, author of the upcoming book Is Pluto a Planet? and a researcher at Vanderbilt University in Nashville, Tennessee, US, says he thinks Pluto is still a planet – even under the new definition.  Grammar issue "As best I can tell, 'dwarf' is an adjective and 'planet' is a noun," he told New Scientist. "I think the IAU thinks they defined Pluto to not be a planet. But they in fact have defined Pluto to be a planet – a particular kind of planet." Astronomers who proposed the new definition respond that the term "dwarf planet" is meant to be thought of as a single concept. And others point out that "minor planets" – asteroids and other small bodies – are not considered planets. But he agrees with Stern that the stipulation that a planet clears out its neighbourhood is flawed. A better definition would say a planet is an object that orbits a star and is large enough to be spherical, but is not large enough to be a brown dwarf – a "failed" star with between about 13 and 75 times the mass of Jupiter – or a star, he says.  'This is crazy'  "Everyone agrees on those criteria," he says. "The question is, can we agree on additional criteria to refine the definition further? I think the answer is no." "Everybody who has communicated with me is saying, 'This is crazy and we don't agree with it,'" he adds. "I'm not convinced that the folks who were at the meeting represented well the larger community." But not everyone is unhappy with the decision. Richard Conn Henry of Johns Hopkins University in Baltimore, Maryland, US, says he is pleased with the outcome. "As far as I'm concerned, the right decision was made," he told New Scientist. "I know a planet when I see it and there are eight of them." He says it makes no sense to call Pluto a planet because it is just one of huge numbers of objects in the Kuiper Belt beyond Neptune. (Adaptado de New Scientist Space, August 2006) __________________________________________________________________________________________________________________________________________________________________________________________ Alan Stern, of Southwest Research Institute, states, “The definition is fundamentally flawed”. Find in the text one argument that can be used to support his opinion.

Questão
2006Inglês

(IME 2006) Leia o texto “New planet definition sparks furore” e responda, EM PORTUGUÊS, as perguntas que se seguem.  New planet definition sparks furore The new planet definition that relegates Pluto to "dwarf planet" status is drawing intense criticism from astronomers. It appears likely that the definition will not be widely adopted by astronomers for everyday use, even though it is the International Astronomical Union's (IAU) official position. On Thursday, astronomers at the IAU meeting in Prague approved a resolution that says the solar system has only eight planets, with Pluto excluded. Pluto is considered a "dwarf planet" instead. But the new definition has provoked a backlash. Alan Stern, who heads NASA's New Horizons mission to Pluto and works at the Southwest Research Institute in Boulder, Colorado, US, says the new definition is "awful". "The definition introduced is fundamentally flawed," he told New Scientist. "As a scientist, I'm embarrassed." Four planets He says only four of the eight objects mentioned in the IAU definition actually meet the definition's criteria – and Earth, Mars, Jupiter and Neptune do not. That is because the definition stipulates that to be a planet, an object must have cleared the neighbourhood around its orbit. But Earth's orbital neighbourhood is filled with thousands of near-Earth asteroids, Stern says. And Mars, Jupiter and Neptune have so-called "Trojan" asteroids sharing their orbits. "This is a half-baked criterion for planethood," he says. He says the new definition was pushed by people who are unhappy with having large numbers of planets (an earlier proposal, which was abandoned after heavy criticism at the meeting, would have potentially allowed hundreds of new planets into the fold). "It's just people that say things like, 'School kids will have to memorise too many names.' Do we limit the number of stars because children have to think of too many names? Or rivers on the Earth? It's just crazy," Stern told New Scientist. Minority report Stern is also critical of the fact that only astronomers present for the vote, which occurred at the end of the two-week meeting, were allowed to have their say on the matter. No email voting was allowed for the decision – it was made by a show of hands – and that meant that less than 5% of the nearly 9000 IAU members actually voted. "You're going to see a real backlash in the coming weeks," he says. "I know there is a petition among planetary scientists that's getting a lot of support." In any case, he says, astronomers are not obligated to use the new definition, since the IAU does not have the power to enforce it. "I don't think it's going to be very widely followed," he says. David Weintraub, author of the upcoming book Is Pluto a Planet? and a researcher at Vanderbilt University in Nashville, Tennessee, US, says he thinks Pluto is still a planet – even under the new definition.  Grammar issue "As best I can tell, 'dwarf' is an adjective and 'planet' is a noun," he told New Scientist. "I think the IAU thinks they defined Pluto to not be a planet. But they in fact have defined Pluto to be a planet – a particular kind of planet." Astronomers who proposed the new definition respond that the term "dwarf planet" is meant to be thought of as a single concept. And others point out that "minor planets" – asteroids and other small bodies – are not considered planets. But he agrees with Stern that the stipulation that a planet clears out its neighbourhood is flawed. A better definition would say a planet is an object that orbits a star and is large enough to be spherical, but is not large enough to be a brown dwarf – a "failed" star with between about 13 and 75 times the mass of Jupiter – or a star, he says.  'This is crazy'  "Everyone agrees on those criteria," he says. "The question is, can we agree on additional criteria to refine the definition further? I think the answer is no." "Everybody who has communicated with me is saying, 'This is crazy and we don't agree with it,'" he adds. "I'm not convinced that the folks who were at the meeting represented well the larger community." But not everyone is unhappy with the decision. Richard Conn Henry of Johns Hopkins University in Baltimore, Maryland, US, says he is pleased with the outcome. "As far as I'm concerned, the right decision was made," he told New Scientist. "I know a planet when I see it and there are eight of them." He says it makes no sense to call Pluto a planet because it is just one of huge numbers of objects in the Kuiper Belt beyond Neptune. (Adaptado de New Scientist Space, August 2006) __________________________________________________________________________________________________________________________________________________________________________________________ The scientist Alan Stern states that according to the criterion established by the resolution, Earth shouldn’t be considered a planet. Why wouldn’t Earth be considered a planet?

Questão
2006Inglês

(IME 2006) Leia o texto “New planet definition sparks furore” e responda, EM PORTUGUÊS, as perguntas que se seguem.  New planet definition sparks furore The new planet definition that relegates Pluto to "dwarf planet" status is drawing intense criticism from astronomers. It appears likely that the definition will not be widely adopted by astronomers for everyday use, even though it is the International Astronomical Union's (IAU) official position. On Thursday, astronomers at the IAU meeting in Prague approved a resolution that says the solar system has only eight planets, with Pluto excluded. Pluto is considered a "dwarf planet" instead. But the new definition has provoked a backlash. Alan Stern, who heads NASA's New Horizons mission to Pluto and works at the Southwest Research Institute in Boulder, Colorado, US, says the new definition is "awful". "The definition introduced is fundamentally flawed," he told New Scientist. "As a scientist, I'm embarrassed." Four planets He says only four of the eight objects mentioned in the IAU definition actually meet the definition's criteria – and Earth, Mars, Jupiter and Neptune do not. That is because the definition stipulates that to be a planet, an object must have cleared the neighbourhood around its orbit. But Earth's orbital neighbourhood is filled with thousands of near-Earth asteroids, Stern says. And Mars, Jupiter and Neptune have so-called "Trojan" asteroids sharing their orbits. "This is a half-baked criterion for planethood," he says. He says the new definition was pushed by people who are unhappy with having large numbers of planets (an earlier proposal, which was abandoned after heavy criticism at the meeting, would have potentially allowed hundreds of new planets into the fold). "It's just people that say things like, 'School kids will have to memorise too many names.' Do we limit the number of stars because children have to think of too many names? Or rivers on the Earth? It's just crazy," Stern told New Scientist. Minority report Stern is also critical of the fact that only astronomers present for the vote, which occurred at the end of the two-week meeting, were allowed to have their say on the matter. No email voting was allowed for the decision – it was made by a show of hands – and that meant that less than 5% of the nearly 9000 IAU members actually voted. "You're going to see a real backlash in the coming weeks," he says. "I know there is a petition among planetary scientists that's getting a lot of support." In any case, he says, astronomers are not obligated to use the new definition, since the IAU does not have the power to enforce it. "I don't think it's going to be very widely followed," he says. David Weintraub, author of the upcoming book Is Pluto a Planet? and a researcher at Vanderbilt University in Nashville, Tennessee, US, says he thinks Pluto is still a planet – even under the new definition.  Grammar issue "As best I can tell, 'dwarf' is an adjective and 'planet' is a noun," he told New Scientist. "I think the IAU thinks they defined Pluto to not be a planet. But they in fact have defined Pluto to be a planet – a particular kind of planet." Astronomers who proposed the new definition respond that the term "dwarf planet" is meant to be thought of as a single concept. And others point out that "minor planets" – asteroids and other small bodies – are not considered planets. But he agrees with Stern that the stipulation that a planet clears out its neighbourhood is flawed. A better definition would say a planet is an object that orbits a star and is large enough to be spherical, but is not large enough to be a brown dwarf – a "failed" star with between about 13 and 75 times the mass of Jupiter – or a star, he says.  'This is crazy'  "Everyone agrees on those criteria," he says. "The question is, can we agree on additional criteria to refine the definition further? I think the answer is no." "Everybody who has communicated with me is saying, 'This is crazy and we don't agree with it,'" he adds. "I'm not convinced that the folks who were at the meeting represented well the larger community." But not everyone is unhappy with the decision. Richard Conn Henry of Johns Hopkins University in Baltimore, Maryland, US, says he is pleased with the outcome. "As far as I'm concerned, the right decision was made," he told New Scientist. "I know a planet when I see it and there are eight of them." He says it makes no sense to call Pluto a planet because it is just one of huge numbers of objects in the Kuiper Belt beyond Neptune. (Adaptado de New Scientist Space, August 2006) __________________________________________________________________________________________________________________________________________________________________________________________ Considering the content of the text, why is the title “New planet definition sparks furore” appropriate?  

Questão
2006Física

(IME -2006) O ciclo Diesel, representado na figura abaixo, corresponde ao que ocorre num motor Diesel de quatro tempos: o trecho AB representa a compressão adiabática da mistura de ar e vapor de óleo Diesel; BC representa o aquecimento à pressão constante, permitindo que o combustível injetado se inflame sem necessidade de uma centelha de ignição; CD é a expansão adiabática dos gases aquecidos movendo o pistão e DA simboliza a queda de pressão associada à exaustão dos gases da combustão. A mistura é tratada como um gás ideal de coeficiente adiabático . Considerando que TA, TB, TC, TD, representam as temperaturas, respectivamente, nos pontos A, B, C, D mostre que o rendimento do ciclo Diesel é dado por:

Questão
2006Matemática

Considere o sistema de equações dado por : Sendovalores reais quaisquer, a condição para que o sistema possua infinitas soluçõesé :

Questão
2006Matemática

Considere o polinômio: x5- 3x4- 3x3+ 27x2- 44x + 30 Sabendo que o produto de duas raízes de suas raízes complexas é igual a 3 - i e que as partes reais e imaginárias de todas as suas raízes complexas são inteiras e não-nulas, calcule todas as raízes do polinômio.

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