20. Blood flow The velocity v of blood that flows in a blood vessel with radius R and length I at a distance r from the central axis is P v(r) = (R² - r²) 4nl where P is the pressure difference between the ends of the vessel and n is the viscosity of the blood (see Example 3.3.9), Find the average velocity (with respect to r) over the

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6.2 (20) please write it and explain it clearly using words thank you
stv
20. Blood flow The velocity v of blood that flows in a blood
vessel with radius R and length I at a distance r from the
central axis is
.ılı
v(r)
-
MacBook Pro
.
P
4nl
(R²²)
where P is the pressure difference between the ends of the
vessel and n is the viscosity of the blood (see Example
3.3.9). Find the average velocity (with respect to r) over the
interval 0 <r < R. Compare the average velocity with the
maximum velocity.
A
B
Transcribed Image Text:stv 20. Blood flow The velocity v of blood that flows in a blood vessel with radius R and length I at a distance r from the central axis is .ılı v(r) - MacBook Pro . P 4nl (R²²) where P is the pressure difference between the ends of the vessel and n is the viscosity of the blood (see Example 3.3.9). Find the average velocity (with respect to r) over the interval 0 <r < R. Compare the average velocity with the maximum velocity. A B
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