Respiratory Cycle. For someone after a few minutes of exercise, the velocity v (in liters per second) of airflow during a respiratory cycle (taking one breath with both inhale and exhale) is v = 1.7 sin ( / ) where t is the time in seconds. (Inhaling occurs when v > 0, and exhaling occurs when v < 0.)

a) Find the time for one full respiratory cycle (that is, one breath with inhaling and exhaling).

b) Find the number of cycles (breaths) per minute.

c) Graph only one wave of the velocity function. (Clearly specify its amplitude, period, and range. Label axes to show 5 significant points: max, min, start, middle, and end of the wave.)