Cheyne–Stokes respiration is a condition where your breathing has an abnormal pattern, regularly stopping entirely, and then breathing deeply at other times. The cycle repeats with a period of around 0.5–2 minutes. Two different types of Cheyne–Stokes breathing patterns are shown in Fig. 5.27.

a. Find a combination of trig functions that provides an approximate description of the breathing pattern in Fig.
5.27B. (Your function doesn’t have to agree exactly with the data, but it should have an amplitude that increases and decreases regularly, with the oscillation going both above and below the midline.)

b. How would you use an exponential function, in combination with trig functions, to provide an approximate description of the breathing pattern in Fig. 5.27A? (As before, your agreement doesn’t have to be perfect, but you should try to get an oscillation where the amplitude increases and decreases regularly, but the oscillation never goes below the baseline.)