51The velocityV of the blood flow of a skier is modeled byV = 375(R² – r²)where R is the radius of the blood vessel, r is the distance of the bloodflow from the center of the vessel and is a constant. Suppose the skier'sblood vessel has radius R =0.08 mm and that cold weather is causingthe vessel to contract at a rate of dR/dt = -0.01 mm per minute. Howfast is the velocity of the blood changing?%3D6.Find the absolute maximum and absolute minimum valuesof the functionf (x) =-

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Asked Dec 10, 2019
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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) =
-
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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) = -

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Step 1

Given:

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velocity of blood flow V = 375(R² – r²) R → radius of blood vessel r → distance of the blood flow from the center and constant R = 0.08mm dR =-0.01 mm per minute dt

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Step 2

Calculatio...

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V = 375(R -r²) dV dR dr = 375(2R) dt r is constant so dt dt dR =-0.01 mm per minute dt put R= 0.08mm and dV - = 375(2×0.08)×-0·01 dt = -0.6 mm per minute

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