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 а-b cot(0) b csc(0) A to B. According to Poiseuille's Law, the total resistance to blood flow is proportional to T = ( - where a and b are as in the figure. В. ь R Find 0 that minimizes the total resistance if r = 5, R = 13. (Use symbolic notation and fractions where needed.) radians

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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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
а-b cot(0)
b csc(0)
A to B. According to Poiseuille's Law, the total resistance to blood flow is proportional to T = ( -
where a
and b are as in the figure.
В.
ь
R
Find 0 that minimizes the total resistance if r = 5, R = 13.
(Use symbolic notation and fractions where needed.)
radians
Transcribed Image Text: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 а-b cot(0) b csc(0) A to B. According to Poiseuille's Law, the total resistance to blood flow is proportional to T = ( - where a and b are as in the figure. В. ь R Find 0 that minimizes the total resistance if r = 5, R = 13. (Use symbolic notation and fractions where needed.) radians
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