Respiratory Cycle  After exercising for a few minutes, a person has a respiratory cycle fo...

Respiratory Cycle  After exercising for a few minutes, a person has a respiratory cycle for which the velocity of airflow is approximated by

where t is the time (in seconds). (Inhalation occurs when v > 0, and exhalation occurs when v < 0.)

(a) Find the time for one full respiratory cycle.

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(b) Find the number of cycles per minute.

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(c) Sketch the graph of the velocity function.