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When Hyperventilating, a Person Breathes in and Out Extremely Rapidly V=30.04cos(200πt)V = 3 - 0.04 \cos ( 200 \pi t )

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When hyperventilating, a person breathes in and out extremely rapidly.A spirogram is a machine that draws a graph of the volume of air in a person's lungs as a function of time.During hyperventilation, the spirogram trace may be represented by V=30.04cos(200πt)V = 3 - 0.04 \cos ( 200 \pi t ) , where V is the volume of the lungs in liters and t is the time in minutes.Find the maximum rate (in liters/minute)of flow of air during inspiration (i.e.breathing in).This is called the peak inspiratory flow.

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