The velocity v of blood that flows in a blood vessel with radius R and length L at a distance r from the central axis is v(r) = - (R²-22) where P is the pressure difference between the ends of the vessel and is the viscosity of the blood (See Example.). Find the average velocity (with respect to r) over the interval 0 s r s R. (Use eta for n. Use capital P for Pressure.) Vave Compare the average velocity Vave with the maximum velocity Vmax Vave Vmax

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
The velocity v of blood that flows in a blood vessel with radius R and length L at a distance r from the central axis is
v(r) =
- (R²-22²)
where P is the pressure difference between the ends of the vessel and is the viscosity of the blood (See Example.). Find the average velocity (with respect to r) over the interval 0 ≤ r s R. (Use eta
for ŋ. Use capital P for Pressure.)
Vave
Compare the average velocity Vave with the maximum velocity Vmax
Vave
Vmax
Transcribed Image Text:The velocity v of blood that flows in a blood vessel with radius R and length L at a distance r from the central axis is v(r) = - (R²-22²) where P is the pressure difference between the ends of the vessel and is the viscosity of the blood (See Example.). Find the average velocity (with respect to r) over the interval 0 ≤ r s R. (Use eta for ŋ. Use capital P for Pressure.) Vave Compare the average velocity Vave with the maximum velocity Vmax Vave Vmax
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