Chapter 8, Problem 57RE

(a)

To determine

The formula for the rate of flow of air into the lungs at time $t$, by using the function $V(t)=3+0.05\sin \left(160\pi t-\frac{\pi }{2}\right)$ where $V\left(t\right)$ is the lung volume in liters and $t$ is measured in minutes.

(b)

To determine

The maximum rate of flow of air during inspiration (breathing in).

(c)

To determine

The averagerate of flow of air during inspiration, when the inspiration occurs during the time from $t=0$ to $t=\frac{1}{160}$.