Um satélite de telecomunicações, t minutos após ter atingido sua órbita, está a r quilômetros de distância do centro da Terra. Quando r assume seus valores máximo e mínimo, diz-se que o satélite atingiu o apogeu e o perigeu, respectivamente. Suponha que, para esse satélite, o valor de r em função de t seja dado por 

r(t)=5865/1+0,15⋅cos(0,06t)

Um cientista monitora o movimento desse satélite para controlar o seu afastamento do centro da Terra. Para isso, ele precisa calcular a soma dos valores de r, no apogeu e no perigeu, representada por S.

Talk about sleepless nights.

Patients taking prescription sleep aids on a regular basis were nearly five times as likely as non-users to die over a period of two and a half years, according to a recent study. Even those prescribed fewer than 20 pills a year were at risk, the researchers found; heavy users also were more likely to develop cancer 

Unsurprisingly, the findings, published online in the journal BMJ, have caused a quite a stir. Americans filled some 60 million prescriptions for sleeping pills last year, up from 47 million in 2006, according to IMS Health, a health care services company. Panicked patients have been calling doctors’ offices seeking reassurance; some others simply quit the pills cold turkey.

 Some experts were quick to point out the study’s shortcomings. The analysis did not prove that sleeping pills cause death, critics noted, only that there may be a correlation between the two. And while the authors suggested the sleeping pills were a factor in the deaths, those who use sleep aids tend as a group to be sicker than those who don’t use them. The deaths may simply be a reflection of poorer health. 

Still, the findings underscore concern about the exploding use of sleeping pills. Experts say that many patients, especially the elderly, should exercise more caution when using sleep medications, including the non-benzodiazepine hypnotics so popular today, like zolpidem (brand name Ambien), eszopiclone (Lunesta) and zaleplon (Sonata).

“If someone comes to me on a sleeping pill, usually my tactic is to try to take them off it,” said Dr. Nancy A. Collop, president of the American Academy of Sleep Medicine and director of the Emory Sleep Center in Atlanta, who was an investigator in a clinical trial of Lunesta five years ago 

The non-benzodiazepine sedative hypnotics, on the market since the late 1980s, are believed to be safer and less likely to be abused than benzodiazepines or barbiturates. But many people take them for years, even though most are approved only for short-term use and generally their safety and effectiveness have not been evaluated beyond several weeks in clinical trials. (One exception is Lunesta, which was tested for up to six months.)

Some data suggest that the medications do not even do what they promise all that well, said Dr. Steven Woloshin, a professor of medicine at the Dartmouth Institute for Health Policy and Clinical Practice.

“The definition of insomnia is that you get less than six and a half hours of sleep, and it takes you 30 minutes or more to fall asleep,” said Dr. Woloshin, who is advocating for new labeling that spells out how well a drug actually works compared with a placebo. “But even when the drugs work better than placebos, and they don’t always, people still don’t fall asleep in less than 30 minutes, and they still don’t sleep much longer than six hours.”

March 12, 2012 / www.nytimes.com

The underlined word “still” in “Still, the findings underscore concern about the exploding use of sleeping pills.” could be replaced, without changing its meaning, by:

Vos estis sal terrae. São Mateus, vs. l3

"Vós, diz Cristo, Senhor nosso, falando com os pregadores, sois o sal da terra: e chama-lhes sal da terra, porque quer que façam na terra, o que faz o sal. O efeito do sal e impedir a corrupção; mas quando a terra se vê tão corrupta como esta a nossa, havendo tantos nela que tem oficio de sal, qual será, ou qual pode ser a causa desta corrupção? Ou é porque o sal não salga, ou porque a terra se não deixa salgar. Ou é porque o sal não salga, e os pregadores não pregam a verdadeira doutrina; ou porque a terra se não deixa salgar, e os ouvintes, sendo verdadeira a doutrina que lhes dão, a não querem receber. Ou é porque o sal não salga, e os pregadores dizem uma cousa e fazem outra; ou porque a terra se não deixa salgar, e os ouvintes querem antes imitar o que eles fazem, que fazer o que eles dizem. Ou é porque o sal não salga, e os pregadores se pregam a si e não a Cristo; ou porque a terra se não deixa salgar, e os ouvintes, em vez de servir a Cristo, servem a seus apetites. Não e tudo isto verdade? Ainda mal."

(Pregado em Sao Luiz do Maranhao, ano de 1654.)

Nesse fragmento, não há

(COLÉGIO NAVAL) Em que opção a acentuação do termo destacado está correta? 

(UPF) Olavo Bilac e Cruz e Sousa estão situados, respectivamente, nos seguintes períodos literários: