ITA 2023

Questão 82227

(EsPCEx - 2023)

Dada a função real , a solução de pertence ao conjunto:

Questão 82228

(EsPCEx - 2023)

Considere as circunferências e . Qual a posição relativa de  e ?

Questão 82229

(EsPCEx - 2023)

A fim de proporcionar a seus militares melhores condições para a prática de Treinamento Físico Militar, um Batalhão do Exército Brasileiro planeja construir uma pista de corrida. Sabe-se que a pista devera ser limitada por duas elipses, conforme ilustrado pela figura abaixo. A largura da pista ainda será definida, mas já existe a determinação de que a distância de P1 a P2 seja de 120 metros. Planeja-se também instalar um mastro em cada foco da elipse interior, representados na figura pelos pontos R1 e R2, para que posteriormente o Batalhão possa hastear bandeiras. A ordem é que os mastros possuam a distância de 80 metros entre si. Considere a equação da elipse interior como . 

Assinale a alternativa que contém o valor, em metros, de : 

Questão 82230

(EsPCEx - 2023)

Em relação ao polinômio  dado por , pode-se afirmar que: 

Questão 82231

(EsPCEx - 2023)

Sabendo que ,  e  temos que o valor de  é igual a:

Questão 82232

(EsPCEx - 2023)

Dados os conjuntos  E . Se ,  e  são, respectivamente, os domínios das funções reais definidas por:  , e , é correto afirmar que:

Questão 82233

Entertainment

In the summer of 1944, the popular comedian and radio personality Bob Hope began another of his famous tours of military camps for the United Service Organizations (USO). This particular tour made stops in Hawaii and on small islands all across the Pacific theater, where Hope and his troupe performed 150 shows in two months. American military personnel loved the shows. Hope’s jokes and silly stunts made them laugh and took their minds away from the war for a few minutes. Entertainment gave them something to fight for. Military commanders in all wars throughout history have understood that morale is essential to a force’s willingness to fight and endure hardship. While good morale depends (1), many things, including good leadership, clear purposes and good food, entertainment played a crucial role in the morale of American military forces during World War 1l (WWII). Entertainment also served particular purposes for different constituent groups. Of course, entertainment gave servicemen a break from the stresses and the boredom of war. Radio programs, movie showings, USO shows, and visits from Red Cross women serving donuts all allowed soldiers to think (2) something besides the war, to relax and even to laugh.

Adapted from https://americansoldierww?2.org/topics/entertainment

In the sentence “Hope’s jokes and silly stunts made them he laugh and took their minds away from the war for a few minutes.” (paragraph 1), the words them and their refer to

Questão 82234

Choose the alternative with prepositions that respectively complete gaps (1) and (2) in the correct way. (paragraph 2).

Questão 82235

According to the text, read the statements and choose the correct alternative.

I - Military servicemen made Bob Hope laugh.

Il - The tour terminated in Hawaii.

III - Radio programs, movie showings and USO shows are examples of entertainment during WWII.

IV - Entertainment is essential to elevate the morale of the military personnel during war.

V - Bob Hope and his troupe performed a hundred fifteen shows in sixty days.

Questão 82236

Identical twins go on separate vegan and meat diets to see difference they make to body

In 2021, a set of identical twins took part in an experiment that involved one going vegan while the other consumed meat to see which of these two diets is (1) . The diets are complete polar opposites, but which one is being (2) to your body? Well, explorers Hugo and Ross Turner decided to put the plant-based and omnivore diets to the test to see which was better - with Hugo ditching meat and dairy and Ross sticking to a diet that included meat, dairy and fish. The twins took part in the Kings College London study over a 12-week period (3) the same number of calories each day as well as carrying out the same gym training. Hugo admitted that the switch to a plant-based diet hadn't been easy, but he eventually ended up feeling more energetic. "l was on the vegan diet and it really does take a hit on your body. | was now having to eat fruit and nuts and alternatives that didn’t have any dairy in them - and so that meant | was eating a lot more wholesome food, which meant that my sugar levels were a lot satiated during the day. | felt like | had more energy.” On the other hand, Ross' meat-eating journey was a little different. As he said, his gym performance was ‘up and down a little bit more’. He added that on some days of the challenge he felt ‘very energetic’ and on others he would have ‘huge lulls'. By the end of the 12-week study, the men found that the differences between the two diets weren'’t very significant, after all.

Adapted from https://www.ladbible.com/community/twins-vegan-meat-diet-233165-20230217

Choose the alternative with words that respectively complete gaps (1) and (2). (paragraph 1)