18. The velocity v of blood that flows in a blood vessel with radius R and length l at a distancer from the central axis is v(r) 4n (R - p2) 4nl where P is the pressure difference between the ends of the vessel and n is the viscosity of the blood (see Example 2.7.7). Find the average velocity (with respect to r) over the interval 0

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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mate the average
velocity of the car during the first 12 seconds.
(b) At what time was the instantaneous velocity equal
to the average velocity?
17. In a certain city the temperature (in °F) t hours after
9 AM was modeled by the function
TTt
T(t) = 50 + 14 sin
12
Find the average temperature during the period from
9 AM to 9 PM.
18. 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
- (R² -r2)
4ml
v(r)
where P is the pressure difference between the ends
of the vessel and n is the viscosity of the blood (see
Example 2.7.7). Find the average velocity (with respect
to r) over the interval 0 <r < R. Compare the average
velocity with the maximum velocity.
12//x + 1 kg/m,
19. The linear density in a rod 8 m long
where x is measured in meters from one end of the rod.
Find the average density of the rod.
20. If a freely falling body starts from rest, then its displace-
ment is given by s = 5gt². Let the velocity after a time
T be vr. Show that if we compute the average of the
velocities with respect to t we get vave = 5VT, but if we
%3D
Transcribed Image Text:mate the average velocity of the car during the first 12 seconds. (b) At what time was the instantaneous velocity equal to the average velocity? 17. In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function TTt T(t) = 50 + 14 sin 12 Find the average temperature during the period from 9 AM to 9 PM. 18. 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 - (R² -r2) 4ml v(r) where P is the pressure difference between the ends of the vessel and n is the viscosity of the blood (see Example 2.7.7). Find the average velocity (with respect to r) over the interval 0 <r < R. Compare the average velocity with the maximum velocity. 12//x + 1 kg/m, 19. The linear density in a rod 8 m long where x is measured in meters from one end of the rod. Find the average density of the rod. 20. If a freely falling body starts from rest, then its displace- ment is given by s = 5gt². Let the velocity after a time T be vr. Show that if we compute the average of the velocities with respect to t we get vave = 5VT, but if we %3D
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