The velocity of blood that flows in a blood vessel with radius and length at a distance from the central axis is where is the pressure difference between the ends of the vessel and is the viscosity of the blood.

(a) Find the average velocity (with respect to ) over the interval

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Average velocity =

(b) Compare the average velocity with the maximum velocity . How are they related? Answer this by writing an equation that gives as a function of the maximum velocity .

You can earn partial credit on this problem.