Prova de 2011: Universidade Estadual do Piauí (UESPI) — questões com gabarito

O ser humano escuta sons no intervalo de frequências que se estende tipicamente de fmin = 20 Hz a fmax = 20.000 Hz. Sejam λmin e λmax os comprimentos de onda da onda sonora no ar respectivamente associados às frequências fmin e fmax. A razão λmin/λmax vale

Em um acidente de trânsito, os carros A e B colidem no cruzamento mostrado nas figuras 1 e 2 a seguir. Logo após a colisão perfeitamente inelástica, os carros movem-se ao longo da direção que faz um ângulo de θ = 37o com a direção inicial do carro A (figura 2). Sabe-se que a massa do carro A é o dobro da massa do carro B, e que o módulo da velocidade dos carros logo após a colisão é de 20 km/h. Desprezando o efeito das forças de atrito entre o solo e os pneus e considerando sen(37º) = 0,6 e cos(37º) = 0,8, qual é a velocidade do carro A imediatamente antes da colisão? 

O preço de custo, por m2 , do material das faces de uma caixa retangular é de R$ 50,00 para a base, R$ 60,00 para a face superior e R$ 40,00 para as faces laterais. O volume da caixa deve ser de 9m3 , e a altura de 1m. Qual o comprimento da base, se a área total da superfície da caixa deve custar o mínimo possível?

Um paralelepípedo retângulo tem por base um quadrado com lado medindo 6 cm e tem altura 8 cm, conforme a ilustração a seguir.

Qual a distância entre o vértice A e o plano passando pelos vértices B, C e D?

Seja f(x) = x2 – 6x + 7 e R a região dos pontos (x, y) do plano que satisfazem f(x) + f(y) ≤ 0 e f(x) – f(y) ≥ 0.

Qual a área de R? 

Uma circunferência de raio R é tangente externamente a duas circunferências de raio r, com r < R. As três circunferências são tangentes a uma mesma reta, como ilustrado a seguir. Qual a distância entre os centros das circunferências de raio r?

Um polígono convexo com 15 lados tem todos os seus vértices em uma circunferência. Se não existem três diagonais do polígono que se interceptam no mesmo ponto, quantas são as interseções das diagonais do polígono?

Em qual dos intervalos abertos seguintes, o gráfico da parábola y = 3x2 – 4x – 3 fica abaixo do gráfico da parábola y = x2 + 3?

Um objeto move-se em um plano, inicialmente, do ponto A para o ponto B e, em seguida, do ponto B para o ponto C, sempre em trajetória retilínea. Se AB = 6 cm e BC = 5 cm, qual a probabilidade de termos AC maior que √31 cm?

Uma função f, tendo como domínio e contradomínio o conjunto dos números reais, satisfaz f(3 + x)= f(3 – x), para todo x real. Se f(x) = 0 admite exatamente quatro raízes reais, quanto vale a soma destas raízes?

Júnior deseja gastar a quantia exata de R$ 7,40 na compra de canetas e cadernos. Se cada caneta custa R$ 0,50, e cada caderno custa R$ 0,70, qual o número máximo de canetas que Júnior poderá comprar?

Suffrage is one of the oldest issues that women’s rights activist have been fighting for. The struggle to gain suffrage is often referred to as the first wave of feminism. In 1906

Finland became the first country in the world to grant women the right to vote and stand in elections. Now, 105 years later, Saudi women have also taken a step towards equality with the decision of King Abdullah to grant the women of Saudi Arabia the right to vote and stand for election. The right for women to vote and stand in elections hasn’t always been the case in the West, for example in Switzerland women got suffrage as late as 1971.

According to the decision made by King Abdullah, Saudi women can take part in municipal elections – the only public elections in Saudi Arabia. Women will also be able to be members of the Shura Council which has the power to propose laws to the King.

The announcement has been received with mixed emotions. According to the international organization of Parliaments, IPU, the Inter-Parliamentary Union, the decision means that no country in the world now discriminates against women when it comes to electing leaders. Others remain more sceptical. For example professor and researcher Stéphane Lacroix said in an interview for French newspaper Libération that this decision does not fundamentally change Saudi society.

Secretary-General Ban Ki-moon welcomes the recent announcements. He believes that these represent an important step in the realization by women in Saudi Arabia of their fundamental civil and political rights.

It will be interesting to see how this law will be implemented and if it succeeds in advancing women’s rights in Saudi Arabia.

Disponível em: <http://www.create4theun.eu/women-all-around-the-world-areallowed-to-vote/>  Acessado em 2 de outubro de 2011. 

Suffrage is one of the oldest issues that women’s rights activist have been fighting for. The struggle to gain suffrage is often referred to as the first wave of feminism. In 1906

Finland became the first country in the world to grant women the right to vote and stand in elections. Now, 105 years later, Saudi women have also taken a step towards equality with the decision of King Abdullah to grant the women of Saudi Arabia the right to vote and stand for election. The right for women to vote and stand in elections hasn’t always been the case in the West, for example in Switzerland women got suffrage as late as 1971.

According to the decision made by King Abdullah, Saudi women can take part in municipal elections – the only public elections in Saudi Arabia. Women will also be able to be members of the Shura Council which has the power to propose laws to the King.

The announcement has been received with mixed emotions. According to the international organization of Parliaments, IPU, the Inter-Parliamentary Union, the decision means that no country in the world now discriminates against women when it comes to electing leaders. Others remain more sceptical. For example professor and researcher Stéphane Lacroix said in an interview for French newspaper Libération that this decision does not fundamentally change Saudi society.

Secretary-General Ban Ki-moon welcomes the recent announcements. He believes that these represent an important step in the realization by women in Saudi Arabia of their fundamental civil and political rights.

It will be interesting to see how this law will be implemented and if it succeeds in advancing women’s rights in Saudi Arabia.

Disponível em: <http://www.create4theun.eu/women-all-around-the-world-areallowed-to-vote/>  Acessado em 2 de outubro de 2011. 

Suffrage is one of the oldest issues that women’s rights activist have been fighting for. The struggle to gain suffrage is often referred to as the first wave of feminism. In 1906

Finland became the first country in the world to grant women the right to vote and stand in elections. Now, 105 years later, Saudi women have also taken a step towards equality with the decision of King Abdullah to grant the women of Saudi Arabia the right to vote and stand for election. The right for women to vote and stand in elections hasn’t always been the case in the West, for example in Switzerland women got suffrage as late as 1971.

According to the decision made by King Abdullah, Saudi women can take part in municipal elections – the only public elections in Saudi Arabia. Women will also be able to be members of the Shura Council which has the power to propose laws to the King.

The announcement has been received with mixed emotions. According to the international organization of Parliaments, IPU, the Inter-Parliamentary Union, the decision means that no country in the world now discriminates against women when it comes to electing leaders. Others remain more sceptical. For example professor and researcher Stéphane Lacroix said in an interview for French newspaper Libération that this decision does not fundamentally change Saudi society.

Secretary-General Ban Ki-moon welcomes the recent announcements. He believes that these represent an important step in the realization by women in Saudi Arabia of their fundamental civil and political rights.

It will be interesting to see how this law will be implemented and if it succeeds in advancing women’s rights in Saudi Arabia.

Disponível em: <http://www.create4theun.eu/women-all-around-the-world-areallowed-to-vote/>  Acessado em 2 de outubro de 2011. 

The National Football League (NFL) is joining the American Cancer Society (ACS) to raise awareness about the importance of breast screenings and to raise money to help fight breast cancer.

NFL players, coaches and referees will wear pink during the month of October to remind women about the importance of getting mammograms and clinical breast exams to find breast cancer early, when it’s easier to treat. The program, A Crucial Catch: Annual Screening Saves Lives, is timed to coincide with National Breast Cancer Awareness Month. The American Cancer Society recommends women 40 and older have a mammogram and clinical breast exam every year, and younger women have clinical breast exams periodically as well.

Hats, wristbands and other apparel worn at NFL games, and special footballs and pink coins will be auctioned off and proceeds will benefit the American Cancer Society. Fans attending games are encouraged to wear pink.

The NFL also has a Web page where clubs and fans can register teams to participate in the American Cancer Society Making Strides Against Breast Cancer walk. This noncompetitive, inspirational event raises awareness and funds to help end breast cancer by finding cures and supporting programs and services for all people facing the disease.

Additionally, the Society’s advocacy affiliate, the American Cancer Society Cancer Action Network (ACS CAN), is participating in Crucial Catch by encouraging Congress to allocate more funding for cancer research.

Adaptado de: <http://www.cancer.org/Cancer/news/Features/nfl-supports-fightagainst-breast-cancer>  Acessado em 1 de outubro de 2011

The National Football League (NFL) is joining the American Cancer Society (ACS) to raise awareness about the importance of breast screenings and to raise money to help fight breast cancer.

NFL players, coaches and referees will wear pink during the month of October to remind women about the importance of getting mammograms and clinical breast exams to find breast cancer early, when it’s easier to treat. The program, A Crucial Catch: Annual Screening Saves Lives, is timed to coincide with National Breast Cancer Awareness Month. The American Cancer Society recommends women 40 and older have a mammogram and clinical breast exam every year, and younger women have clinical breast exams periodically as well.

Hats, wristbands and other apparel worn at NFL games, and special footballs and pink coins will be auctioned off and proceeds will benefit the American Cancer Society. Fans attending games are encouraged to wear pink.

The NFL also has a Web page where clubs and fans can register teams to participate in the American Cancer Society Making Strides Against Breast Cancer walk. This noncompetitive, inspirational event raises awareness and funds to help end breast cancer by finding cures and supporting programs and services for all people facing the disease.

Additionally, the Society’s advocacy affiliate, the American Cancer Society Cancer Action Network (ACS CAN), is participating in Crucial Catch by encouraging Congress to allocate more funding for cancer research.

Adaptado de: <http://www.cancer.org/Cancer/news/Features/nfl-supports-fightagainst-breast-cancer>  Acessado em 1 de outubro de 2011

The National Football League (NFL) is joining the American Cancer Society (ACS) to raise awareness about the importance of breast screenings and to raise money to help fight breast cancer.

NFL players, coaches and referees will wear pink during the month of October to remind women about the importance of getting mammograms and clinical breast exams to find breast cancer early, when it’s easier to treat. The program, A Crucial Catch: Annual Screening Saves Lives, is timed to coincide with National Breast Cancer Awareness Month. The American Cancer Society recommends women 40 and older have a mammogram and clinical breast exam every year, and younger women have clinical breast exams periodically as well.

Hats, wristbands and other apparel worn at NFL games, and special footballs and pink coins will be auctioned off and proceeds will benefit the American Cancer Society. Fans attending games are encouraged to wear pink.

The NFL also has a Web page where clubs and fans can register teams to participate in the American Cancer Society Making Strides Against Breast Cancer walk. This noncompetitive, inspirational event raises awareness and funds to help end breast cancer by finding cures and supporting programs and services for all people facing the disease.

Additionally, the Society’s advocacy affiliate, the American Cancer Society Cancer Action Network (ACS CAN), is participating in Crucial Catch by encouraging Congress to allocate more funding for cancer research.

Adaptado de: <http://www.cancer.org/Cancer/news/Features/nfl-supports-fightagainst-breast-cancer>  Acessado em 1 de outubro de 2011