Biorhythms In the theory of biorhythms, a sine function of the form P(t) = 50 sin(t) + 50 is used to measure the percent P

Biorhythms In the theory of biorhythms, a sine function of the form

P(t) = 50 sin(ωt) + 50

is used to measure the percent P of a person's potential at time t, where t is measured in days and t = 0 is the person's birthday. Three characteristics are commonly measured:

Physical potential: period of 23 days

Emotional potential: period of 28 days

Intellectual potential: period of 33 days

(a) Find ω for each characteristic.

(b) Using a graphing utility, graph all three functions on the same screen.

(c) Is there a time t when all three characteristics have 100% potential? When is it?

(d) Suppose that you are 20 years old today (t = 7305 days). Describe your physical, emotional, and intellectual potential for the next 30 days.

ORHT intellectual physical emotional