According to Poiseuille's laws, the velocity V of blood is given by V=K(R^2-r^2) where R is the radius of the blood
vessel, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant.
A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k=571.5.
Find the rate of change of the blood velocity when R=0.06 mm and R is changing at 0.002 mm per minute. Assume r is
constant.
