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Mathematics, 28.01.2020 12:31 kestegag7162

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 v = k(r – r)r2, 0 ≤ r < r, where k is a constant, r is the normal radius of the trachea, and r is the radius during coughing. what radius r will produce the maximum air velocity?

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