$26\mathrm{.}1.$pdf

Example: Consider a tank full of saltwater with a hose coming in which is adding fres water to the tank and an outlet which is draining the mixture. The mass $m$ of salt in th tank has a rate of change of

$\frac{dm}{dt}=-\frac{t}{\sqrt[3]{t^2+1000}}\frac{g}{m}in$

At time $t=0,m=100g.$ How long does it take for $m$ to be $0?$