A popular theory that attempts to explain the ups and downs of everyday life states that each person has three cycles, called biorhythms, which begin at birth. These three cycles can be modeled by the sine functions below, where t is the number of days since birth.
Physical (23 days): P = sin 2πt / 23, t ≥ 0
Emotional (28 days): E = sin 2πt / 28, t ≥ 0
Intellectual (33 days): I = sin 2πt / 33, t ≥ 0
Consider a person who was born on July 20, 1995.
(a) Use a graphing utility to graph the three models in the same viewing window for 7300 ≤ t ≤ 7380.
(b) Describe the person's biorhythms during the month of September 2015.
(c) Calculate the person's three energy levels on September 22, 2015.