Chapter 3.5, Problem 33P

To determine

(a)

To graph the below function $S\left(t\right)$ which is the function of a company’s monthly sales of time $t$ from $t=0$ to $t=12$

$S\left(t\right)=2000+600\sin \left(\frac{\pi }{6}t\right)$

Also, calculate $S\left(2\right)$ and $S^{\prime }\left(2\right)$.

To determine

(b)

To find derivative and calculate $S\left(2\right)$ and $S^{\prime }\left(2\right)$ .of the below function $S\left(t\right)$ which is the function of a company’s monthly sales of time $t$ :

$S\left(t\right)=2000+600\sin \left(\frac{\pi }{6}t\right)$