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CalculusQ&A LibraryAccording 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.Question

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 *r*_{0} is the radius of the trachea in a relaxed state.

v = ar^{2}(r_{0} − r)

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

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