Chapter 5.2, Problem 50E

LIFE SCIENCE APPLICATIONS

Population Growth As we saw in Exercise 39 in Section 4.6 on Derivative of Trigonometry Function many biological population can be modeled by.

$f\left(t\right)=f\left(0\right)e^{c\sin t}$

Where $f\left(0\right)$ is the size of population when $t=0$. Suppose that $f\left(0\right)=1000$ and $c=2$. Find the maximum and minimum values of $f\left(t\right)$ and values of $t$ where they occur.