Q1: Respiratory Cycle. For a person at rest, the velocityv(in liters per second) of air flow during a respiratory cycle (taking one breath with both inhale and exhale) is:

v= 0.85 sin()

wheretis the time in seconds. (Inhaling occurs whenv> 0, and exhaling occurs whenv< 0.) a) Find the time for one full respiratory cycle (that is, one breath with inhale and exhale).

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 wave.).

Q2:Respiratory Cycle. After exercising for a few minutes, a person has a respiratory cycle for which the velocity of air flow is approximated by:

v= 1.75 sin()

wheretis the time in seconds. Use this model to repeat parts a), b), c) from #1 above.