Answer the problem below

1. Vascular Branching. A small blood vessel of radius r branches off at an angle 0 from a larger vessel of radius R to supply blood along a path from A to B. According to Poiseuille's Law, the total resistance to blood flow is proportional to T =asine- blost + b SINO Ry sinor " Where a and b are as in figure below. Show that the total resistance is minimized when cose = (r/R) R A