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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Find the value of r that maximizes v.

Transcribed Image Text:2) When we cough, the trachea (windpipe) contracts to increase the velocity of the air going out.
The average flow velocity v can be modeled by the equation
v = c(ro – r) r² cm/sec, <rs ro,
where r, is the rest radius of the trachea (in centimeters), c is a positive constant, and r is the
radius of the trachea.
Find the value ofr that maximizes v.
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