The trachea contracts during a cough to increase the velocity of air. The velocity can be modeled by v = c(r-ro)r², where ro is the normal radius of the trachea, r is the radius during a cough and c is a negative constant. If ro 180, find the value of r that maximizes v on the domain [0, 180]. r=

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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The trachea contracts during a cough to increase the velocity of air. The velocity can be modeled by
v = c(r-ro)r²,
where ro is the normal radius of the trachea, r is the radius during a cough and c is a negative constant.
If ro= 180, find the value of r that maximizes v on the domain [0, 180].
Transcribed Image Text:The trachea contracts during a cough to increase the velocity of air. The velocity can be modeled by v = c(r-ro)r², where ro is the normal radius of the trachea, r is the radius during a cough and c is a negative constant. If ro= 180, find the value of r that maximizes v on the domain [0, 180].
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