Chapter 7, Problem 99CRE

a.

To determine

To Graph:the $R=0$ and $R=M$ are horizontal asymptotes of $R(x)=\frac{M}{\pi }\left(\frac{\pi }{2}+ta{n}^{-1}x\right)$ .

b.

To determine

To Find: $R$ is increasing for all $x$ .

c.

To determine

To Graph: $R$ ’s single inflection point .The value of $R$ at the inflection point is $M/2$ .To the left of the inflection point $R$ is concave up and to the right of the inflection point $R$ is concave down.