The average adult takes about 12 breaths per minute. As a patient inhales, the volume of air in the lung increases. As the patient exhales, the volume of air in the lung decreases. For t in seconds since start of the breathing cycle, the volume of air inhaled or exhaled since t = 0 is given, in hundreds of cubic centimeters, by

(a) How long is one breathing cycle?
(b) Find A'(1) and explain what it means.

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(77₁) 5 A(t) = -2 cos $ -t) +2.