Problem 3: Blood Flow As discussed in Project 1, we can model the shape of the blood vessels by a cylindrical tube with radius R and length I as shown in the figure below. r represents the distance from the central axis. The relationship between v and r is given by the law of laminar flow V = P Aui (R2 - 12) where the constants are R (radius of the blood vessel), u (viscosity of the blood), I (length), and P (pressure difference between the ends of the tube). The average value of a function f on the interval [a, b] is given by the formula respect to r ) over the interval 0 Er & R.a Find the average velocity (with respect to r) over the interval 0