Exam 21: Logistic Functions

Enrollment at a certain university t years after 2000 is given by . At what enrollment level is enrollment growing at the fastest rate? Round your answer to two decimal places, if necessary. ​

Magazine circulation after t years is modeled by the function . ​ At what circulation level is magazine circulation growing at the fastest rate? Round your answer to two decimal places, if necessary. ​

Enrollment at a certain university t years after 2000 is given by . According to the model, what is the maximum enrollment that can be attained? Round your answer to two decimal places, if necessary. ​

Magazine circulation after t years is modeled by the function . ​ When did magazine circulation reach 10.00 thousand? Round your answer to two decimal places. ​

The number N, in millions, of Americans with Internet access t years after 1990 is modeled by the function . ​ For what value of N is Internet access growing at the fastest rate? Round your answer to two decimal places, if necessary. ​

The number N, in millions, of Americans with Internet access t years after 1990 is modeled by the function . ​ According to the model, how many Americans had Internet access in 1990? Round your answer to two decimal places, if necessary. ​

For a logistic function, the function shows a maximum growth rate at half the limiting value.

The cumulative number F of flu cases reported after t weeks is modeled by the function . The maximum number of people who can be expected to get the flu is (round your answer to two decimal places, if necessary) ​

The number N, in millions, of Americans with Internet access t years after calendar year 1990 is modeled by the function . According to the model, for which calendar year is Internet access growing at the fastest rate? Round your answer to the nearest whole number. ​

A population is modeled by the function . ​ The limiting value of the population is (round to two decimal places, if necessary) ​

Enrollment at a certain university t years after calendar year 2000 is given by . According to the model, for which calendar year is enrollment growing at the fastest rate? Round your answer to the nearest whole number. ​

Magazine circulation after t years is modeled by the function . ​ When was the circulation increasing at the fastest rate? Round your answer to two decimal places. ​

A population is modeled by the function . What value of t corresponds to the point of inflection? Round your answer to two decimal places. ​

The number N, in millions, of Americans with Internet access t years after calendar year 1990 is modeled by the function . ​ For what calendar year will the number of Americans with Internet access reach 133.70 million? Round your answer to the nearest whole number. ​

Magazine circulation after t years is modeled by the function . ​ What was the initial magazine circulation? Round your answer to two decimal places, if necessary. ​