A flu has hit a city and the percentage of a population with the flu, t days after the disease arrives is approximated by f(t)=10te^(-t/8) for 0=40. 1)after how many days is the percentage of the population with the flu a maximum? 2)what is the maximum percent of the population at this time?

Question

A flu has hit a city and the percentage of a population with the flu, t days after the disease arrives is approximated by f(t)=10te^(-t/8) for 0<=t>=40.
1)after how many days is the percentage of the population with the flu a maximum?
2)what is the maximum percent of the population at this time?

phi · Answer

This is a calculus problem.  Take the derivative with respect to t,  set the expression equal to zero, and solve for t.

for part 2, sub the value found for t in part 1 into the function and evaluate.  You should get about 29.4%

anonymous · Answer

ok. i'll do that now