2. The water volume inside a tank is changing at a rate of
$$ \frac{dV}{dt} = -2.5e^{-0.5t+1} $$
where $V$ is the volume of in cubic feet (ft³) and $t$ is time measured in hours (h). The
volume at $t = 2$ hours is 15 ft³.
(a) How fast is the rate of change of the volume changing at the instant when $t = 2$
seconds?
(b) Find $V(6)$
(c) Write you answer to part (b) in a sentence that clearly interprets the physical
context of the situation.
