Medical Science Coughing forces the trachea (windpipe) to contract, which in turn

Chapter 3, Problem 50

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Medical Science Coughing forces the trachea (windpipe) to contract, which in turn affects the velocity of the air through the trachea. The velocity of the air during coughing can be modeled by where is a constant, is the normal radius of the trachea, and is the radius during coughing. What radius will produce the maximum air velocity?

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