Chapter 11, Problem 69SP

(a)

To determine

To calculate: $t_m$ is to be calculated and explain whether the function $S(r,t)$ has a relative maximum and show the function $S(r,t)$ has relative maximum.

(b)

To determine

To calculate: the expression for “M” in terms of $z=\sqrt{1+4\gamma k{r}^2}$

(c)

To determine

To calculate: the derivative of $M\left(r\right)$ is to be determined and show $\frac{dM}{dr}<0$