Chapter 3.4, Problem 67E

(a)

To determine

To fill: The complete table

t	0.5	1	1.5	2	2.5	3
$s\left(t\right)$

for sales $s\left(t\right)=\frac{5000t^2}{8+t^2},0\le t\le 3$ and to estimate when they are increasing at the highest rate.

(b)

To determine

To graph: The function $s\left(t\right)=\frac{5000t^2}{8+t^2},0\le t\le 3$ using a graphing utility and to approximate the time when the increase in sales is highest.

(c)

To determine

To calculate: The time when the increase in sales $s\left(t\right)=\frac{5000t^2}{8+t^2},0\le t\le 3$ is the maximum.