ITA 2021

Questão 55642

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

A relatively small asteroid

Questão 55643

(AFA - 2021 - Modelo C - Questão 25)

O polinômio de raízes reais distintas e coeficientes reais, P(x) = 6x³ + mx² - 18x + n, é divisível por (x - α) e possui duas raízes simétricas.

Se P(P(α)) = 9, então P(1) é igual a

Questão 55644

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

Earth has been relatively save thanks to

Questão 55645

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

"Which" (line 40) refers to

Questão 55646

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

In the sentence "the dangerous comets and asteroids which might cross Earth's orbit" (lines 39 and 40), the underlined word is similar to

Questão 55647

(AFA - 2021 - Modelo C - Questão 26)

Sejam as curvas λ : x² + y² = r² e β: y² - x² = 4 tangentes em dois pontos distintos do plano cartesiano.

Considere S o conjunto de pontos P(x, y) tais que x² + y² ≤ r².

Se for realizada uma rotação de 90º dos pontos de S em torno de uma das assíntonas de β, então o sólido formado tem uma superfície cuja área total, em unidade de área, mede

Questão 55648

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

Scientists support the idea that

Questão 55649

(AFA - 2021)

TEXTO V

Disponível em: https://amarildocharge.wordpress.com/2018/10/27/janelas/ - Acesso em 30/06/2020 

A atitude do individuo observador no texto V evidencia seu comportamento diante da violência contra a mulher. A referência a esse mesmo tipo de comportamento pode ser verificada nos seguintes trechos de outros textos desta prova, EXCETO:

Questão 55650

(AFA - 2021)

The End of life on Earth

It weighted about 10,000 tons, entered the
atmosphere at a speed of 64,000 km/h and exploded
over a city with a blast of 500 kilotons. But on 15
February 2013, we were lucky. The meteorite that 
5 showered pieces of rock over Chelyabinsk, Russia, was
relatively small, at only about 17 metres wide. Although
many people were injured by falling glass, the damage
was nothing compared to what had happened in Siberia
neraly one hundred years ago, when a relatively small
10 object (approximately 50 metres in diameter) exploded in
mid-air over a forest region, flattening about 80 million
trees. If it had exploded over a city such as Moscow or
London, millions of people would have been killed.

By a strange coincidence, the same day that the
15 meteorite terrified the people of Chelyabinsk, another
50m-wide asteroid passed relatively close to Earth.
Scientists were expecting that visit and know that the
asteroid will return to fly close by us in 2046, but the
Russian meteorite earlier in the day had been too small
20 for anyone to spot.

Most scientists agree that comets and asteroids
pose the biggest natural threat to human existence. It
was probably a large asteroid or comet collinding with
Earth which wiped out the dinosaurs about 65 million
25 years ago. An enormous object, 10 to 16 km in diameter,
struck the Yucatan region in Mexico with the force of 100
megatons. That is the equivalent of one Hiroshima bomb 
for every peerson alive on Earth today.

Many scientists, including the late Stephen
30 Hawking, say that any comet or asteroid greater than
20km in diameter that hits Earth will result in the 
complete destruction of complex life, including all
animals and most plants. As we have seen even a much 
smaller asteroid can cause great damage.

35 The Earth has been kept fairly safe for the last 65
million years by good fortune and the massive
gravitational field of the planet Jupiter. Our cosmic
guardian, with its stable circular orbit far from the sun,
sweeps up and scatters away most of the dangerous
40 comets and asteroids which might cross Earth's orbit.

After the Chelyabinsk meteorite, scientists are now
monitoring potential hazards even more carefully but, as 
far as they know, there is no danger in the foreseeable
future.

45 Types of space rocks
• Comet - a ball of rock and ice that sends out a
tail of gas and dust behind it. Bright comets only appear
in our visible night sky about once every ten years.
• Asteroid - a rock a few feet to several kms in
50 diameter. Unlike comets, asteroids have no tail. Most
are to small to cause any damage and burn up in the
atmosphere.
• Meteoroid - part of an asteroid or comet.
• Meteorite - what a meteoroid is called when it
55 hits Earth.

Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020

According to the text

Questão 55651

(AFA - 2021)

TEXTO IV

Apelo

Amanhã faz um mês que a Senhora está longe de casa. Primeiros dias, para dizer a verdade, não senti falta, bom chegar tarde, esquecido na conversa de esquina. Não foi ausência por uma semana: o batom ainda no lenço, o prato na mesa por engano, a imagem de relance no espelho.

Com os dias, Senhora, o leite primeira vez coalhou. A notícia de sua perda veio aos poucos:^[1] a pilha de jornais ali no chão, ninguém os guardou debaixo da escada. Toda a casa era um corredor deserto, até o cenário ficou mudo. Não dar parte de fraco, ah, Senhora, fui beber com os amigos. Uma hora da noite eles se iam. Ficava só, sem o perdão de sua presença, última luz na varanda, a todas as aflições do dia.

Sentia falta da pequena briga pelo sal no tomate – ^[2]  meu jeito de querer bem. Acaso é saudade, Senhora? Às suas violetas, na janela, não lhes poupei água e elas murcham. Não tenho botão na camisa. Calço a meia furada. Que fim levou o saca-rolha? Nenhum de nós sabe, sem a Senhora, conversar com os outros: bocas raivosas mastigando. Venha para casa, Senhora, por favor.

(TREVISAN, Dalton. Mistérios de Curitiba. 5^a ed. Record. Rio de Janeiro, 1996.)

Em relação à organização textual e aspectos sintáticos do texto IV, assinale a alternativa que apresenta uma análise correta.