51 The velocity V of the blood flow of a skier is modeled by V = 375(R² – r²) where R is the radius of the blood vessel, r is the distance of the blood flow from the center of the vessel and is a constant. Suppose the skier's blood vessel has radius R =0.08 mm and that cold weather is causing the vessel to contract at a rate of dR/dt = -0.01 mm per minute. How fast is the velocity of the blood changing? %3D 6. Find the absolute maximum and absolute minimum values of the function f (x) = -

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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51
The velocity
V of the blood flow of a skier is modeled by
V = 375(R² – r²)
where R is the radius of the blood vessel, r is the distance of the blood
flow from the center of the vessel and is a constant. Suppose the skier's
blood vessel has radius R =0.08 mm and that cold weather is causing
the vessel to contract at a rate of dR/dt = -0.01 mm per minute. How
fast is the velocity of the blood changing?
%3D
6.
Find the absolute maximum and absolute minimum values
of the function
f (x) =
-
Transcribed Image Text:51 The velocity V of the blood flow of a skier is modeled by V = 375(R² – r²) where R is the radius of the blood vessel, r is the distance of the blood flow from the center of the vessel and is a constant. Suppose the skier's blood vessel has radius R =0.08 mm and that cold weather is causing the vessel to contract at a rate of dR/dt = -0.01 mm per minute. How fast is the velocity of the blood changing? %3D 6. Find the absolute maximum and absolute minimum values of the function f (x) = -
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