55. 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 a -b cot 0 bcsc e r4 T = R4 where a and b are as in Figure 28. Show that the total resistance is minimized when cos 0 = (r/R)4. FIGURE 28

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Q: Number 9

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