ITA 2023

Questão 73692

(AFA - 2023)

 

Directions: Read Text VI and answer questions 12, 13, 14, 15 and 16 accordingly.

 

TEXT VI

          Elon Musk, the CEO of SpaceX and Tesla, caused
  something of a stir at the annual Air Force Association’s
  Air Warfare Symposium in Orlando, Florida. During an
  informal ‘fireside chat’ with Lt. Gen. John Thompson of
Space Command on Friday, Musk told a room packed
  with fighter pilots that “the fighter jet era has passed”.
  Now, Musk is renowned for finding soundbites for the
  media to hook onto, and also of causing calculated
  disruption in his target audience, but even by his
10  standards this is a well-baited line. What makes this such
  a bold and controversial statement?
          The contemporary battlefield is far more networked,
  complex, congested and lethal – it’s those that adapt that
  will survive. Simply being ‘a good stick’ will rapidly no
15  longer cut it in the hostile skies of the future.
          Musk’s main thrust is, however, that the human in
  the cockpit is the limiting factor in air combat now, not the
  advantage.
          Firstly, humans are awkward for aircraft designers to
20  accommodate. In a modern fighter the pilot sits on an
  ejection seat for emergency escape, needs an oxygen
  supply and air-conditioning to function at extremes of
  temperature and altitude, and requires flight controls and
  instruments to fly and fight the machine. All of these add
25  a significant amount of weight and cost into the aircraft.
  Moreover, having a transparent canopy to permit the crew
  to see out does little to improve signature management1
  as radar cross section and the chances of reflected sun
  glint all increase. The human also adds more weight,
30  especially when encumbered with flight kit such as
  helmet, NVGs, g-suit and flight planning and survival
  equipment. Traditionally, pilots sit toward the front of the
  aircraft to afford them the best view for take-off and
  landing, as well as air combat. This has implications on
35  aerodynamics, stealth1 design and weight distribution
  factors. In short, it can make the designers life a lot
  simpler if the pilot/crew are not in the aircraft.

 

(Extracted from https://www.forbes.com/. Accessed on March 03, 2022.)

 

Vocabulary:

1. Signature management and stealth: both terms refer to technology that reduces the likelihood of personnel, aircrafts, missiles, etc. being detected.

 

 

Decide if the sentences are true (T) or false (F) according to Text VI; then mark the right alternative.

 

I. Designers are challenged to find solutions that enable fitting flying conditions.

II. The human factor is considered an asset when it comes to air combat.

III. A transparent canopy is both an advantage and a disadvantage.

IV. The flying gear turns out to be heavy and expensive.

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Questão 73693

(AFA - 2023)

 

Directions: Read Text VI and answer questions 12, 13, 14, 15 and 16 accordingly.

 

TEXT VI

          Elon Musk, the CEO of SpaceX and Tesla, caused
  something of a stir at the annual Air Force Association’s
  Air Warfare Symposium in Orlando, Florida. During an
  informal ‘fireside chat’ with Lt. Gen. John Thompson of
Space Command on Friday, Musk told a room packed
  with fighter pilots that “the fighter jet era has passed”.
  Now, Musk is renowned for finding soundbites for the
  media to hook onto, and also of causing calculated
  disruption in his target audience, but even by his
10  standards this is a well-baited line. What makes this such
  a bold and controversial statement?
          The contemporary battlefield is far more networked,
  complex, congested and lethal – it’s those that adapt that
  will survive. Simply being ‘a good stick’ will rapidly no
15  longer cut it in the hostile skies of the future.
          Musk’s main thrust is, however, that the human in
  the cockpit is the limiting factor in air combat now, not the
  advantage.
          Firstly, humans are awkward for aircraft designers to
20  accommodate. In a modern fighter the pilot sits on an
  ejection seat for emergency escape, needs an oxygen
  supply and air-conditioning to function at extremes of
  temperature and altitude, and requires flight controls and
  instruments to fly and fight the machine. All of these add
25  a significant amount of weight and cost into the aircraft.
  Moreover, having a transparent canopy to permit the crew
  to see out does little to improve signature management1
  as radar cross section and the chances of reflected sun
  glint all increase. The human also adds more weight,
30  especially when encumbered with flight kit such as
  helmet, NVGs, g-suit and flight planning and survival
  equipment. Traditionally, pilots sit toward the front of the
  aircraft to afford them the best view for take-off and
  landing, as well as air combat. This has implications on
35  aerodynamics, stealth1 design and weight distribution
  factors. In short, it can make the designers life a lot
  simpler if the pilot/crew are not in the aircraft.

 

(Extracted from https://www.forbes.com/. Accessed on March 03, 2022.)

 

Vocabulary:

1. Signature management and stealth: both terms refer to technology that reduces the likelihood of personnel, aircrafts, missiles, etc. being detected.

 

 

Analyzing the grammatical aspects of Text VI, and considering the standard use of language, it’s correct to say that

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Questão 73694

(AFA - 2023)

 

Seja uma circunferência de centro C, cujo diâmetro é o segmento de extremidades A (−1,10) e B (−7,2) Considere que M e N são os pontos de interseção dessa circunferência com o eixo das ordenadas.

A área do triângulo cujos vértices são os pontos MNC, em unidade de área, é igual a

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Questão 73695

(AFA - 2023)

 

Seja a sequência (a_{1}, a_{2}, a_{3}, ..., a_{n} ) uma progressão geométrica (P.G.) crescente, com 0  angle  a_{1} 
eq 1, de n termos e razão q.

A expressão frac{log a_{n} - log  a_{1}}{log  q} +1 corresponde, necessariamente, a

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Questão 73696

(AFA - 2023)

 

Uma brincadeira consiste em jogar um dado entre dois cubos fixos. Em uma das jogadas, o dado parou na posição observada na figura abaixo.

 

A área total do dado, em cm2 , é igual a

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Questão 73697

(AFA - 2023)

 

As raízes da equação left | 2x-3 
ight | + left | x+2 
ight | = 4 são o primeiro e segundo termos de uma progressão geométrica (P.G.) decrescente.

O termo geral dessa P.G. é

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Questão 73698

(AFA - 2023)

 

Considere z os números complexos da forma x+yi, com x,y  epsilon  mathbb{R} e i a unidade imaginária, que possuem módulo igual a 2 sqrt{5} e encontram-se sobre a reta de equação 2x-y=0.

O quociente do número z de menor argumento principal pelo número z de maior argumento principal, nessa ordem, vale

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Questão 73699

(AFA - 2023)

 

Dadas as matrizes A = egin{bmatrix} 4 & 1 & 0\ 1 &left | a 
ight | & -4\ -3& 0 & -4 end{bmatrix} e B = egin{bmatrix} 4 & 1 & -3\ 1 &left | a 
ight | & 0\ 0& -4 & -4 end{bmatrix}, nas quais o elemento da 2ª linha e 2ª coluna é o módulo de a, com a  epsilon  mathbb{R}, considere as proposições abaixo.

 

Analise e classifique corretamente cada uma quanto a ser (V) VERDADEIRA ou (F) FALSA.

 

( ) As matrizes A e B comutam.

( ) A matriz A possui determinante igual a 0 somente se a = 1 ou a = −1

( ) Se A e B são invertíveis, então AtB-1 = I, em que At é a matriz transposta de A, B-1 é a matriz inversa de B e I a matriz identidade.

 

Sobre as proposições, tem-se que

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Questão 73700

(AFA - 2023)

 

Considere as funções reais f, g e h em cada proposição abaixo.

Analise e classifique corretamente cada uma quanto a ser (V) VERDADEIRA ou (F) FALSA.

 

(  ) Se f(x) = ax, com a  epsilon  mathbb{R}^{*} , então f é uma função par.

(  ) Se h(x) = -a^{-x-1} , com a > 1, então h é uma função crescente para todo x  epsilon  mathbb{R}.

(  ) Se o contradomínio de g é CD = [-b,+infty[ e g(x)=x^{2}-b, com b  epsilon  mathbb{R}, então g é, necessariamente, uma função injetora.

 

Sobre as proposições, tem-se que

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Questão 73701

(AFA - 2023)

 

Desde 2003, o campeonato brasileiro de futebol passou a ser disputado no formato de pontos corridos em que:

  • todas as equipes jogam entre si em duas partidas;
  • uma partida acontece no estádio determinado por um dos times, ou seja, esse é o mandante; e
  •  a outra partida, como visitante, acontece no estádio em que o adversário determina.

 

Um levantamento de 2003 até 2019 mostrou que o Santos é o melhor mandante da competição, com 67,6% de aproveitamento dos pontos; porém, por estádio, o clube de melhor desempenho é o Corinthians, que obteve 71,3% de aproveitamento em seu estádio.

Abaixo, encontra-se a tabela que relaciona o aproveitamento como mandante dos 20 primeiros times do ranking da Confederação Brasileira de Futebol (CBF).

 

 

Com base nos dados da tabela, o desvio padrão mede, aproximadamente,

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