A small blood vessel of radius r branches off at an angle from a larger vessel

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A small blood vessel of radius r branches off at an angle θ 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 a - b cote R4 + b csc  74

where a and b are as in Figure 29. Show that the total resistance is minimized when cos θ = (r/R)4.

A R a 0 B b

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Related Book For  answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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