Chapter 10.3, Problem 58E

(a)

To determine

To find: The points at which the velocity of the blood inside the vessel is maximum and minimum.

(b)

To determine

To find: The average velocity of the blood over a cross section of the velocity.

(c)

To determine

To graph: The curve of velocity $v\left(r\right)=V{\left(1-\frac{r^2}{R^2}\right)}^{\frac{1}{p}}$ for $p=1,2\text{ and 6}$ over the interval $0\le r\le R$; find the average velocity of blood inside the vessel in terms of p; also explain the behavior of the velocity function as p approaches $\infty$.