Chapter 3.7, Problem 90E

a.

To determine

To sketch: The graph of the mass function and verify that $M\left(0\right)=0$.

b.

To determine

To sketch: The graph of the volume function and verify that the tank is empty when $t=1000\text{ min}$.

c.

To determine

To sketch: The concentration function and comments on its properties that is $C\left(0\right)\text{ and }\underset{t\to {1000}^{-}}{\lim }C\left(t\right)$.

d.

To determine

To find: The rate of change of mass $M^{\prime }\left(t\right)$ for $0\le t\le 1000$.

e.

To determine

To find: The rate of change of the concentration $C^{\prime }\left(t\right)$ for $0\le t\le 1000$.

f.

To determine

The time at which the concentration of the solution is increasing or decreasing.