Chapter 5.2, Problem 88E

Pollution. An oil tanker aground on a reef is losing oil and producing an oil slick that is radiating outward at a rate given approximately by

     $\begin{array}{cc}\frac{dR}{dt}=\frac{50}{\sqrt{t+9}}& t\ge 0\end{array}$

where R is the radius (in feet) of the circular slick after t minutes. Find the radius of the slick after 16 minutes if the radius is 0 when t = 0.