# According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the radius r of the trachea according to the following, where a is a constant and r0 is the radius of the trachea in a relaxed state.v = ar2(r0 − r)Find the radius r that produces the maximum velocity of air in the trachea during a cough.

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Asked Feb 14, 2020
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According to B. F. Visser, the velocity v of air in the trachea during a cough is related to the radius r of the trachea according to the following, where a is a constant and r0 is the radius of the trachea in a relaxed state.

v = ar2(r0 − r)

Find the radius r that produces the maximum velocity of air in the trachea during a cough.

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