according to poiseuilles laws, the velocity v of blood is given by v=k(R^2-r^2) when R is the radius of the blood vessels, 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 vessels dilation medictaion so that her blood velocity is modeled by poiseuilles law with k=501.9. Find the rate of chnage blood velocity when R=0.01 mm and R is chnaging at 0.006mm per minute. Assume r is constant.

The blood velocity is increasing at__ mm per minute each minute