The ambient temperature Tm in (3) in Section 1.3 dT dt T-Tm or dT dt = k(T-Tm) (3) could be a function of time t. Suppose that in an artificially controlled environment, Tm(t) is periodic with a 24-hour period, as illustrated in the figure below. Tm 140 120- 100- 80 60- 40 20- 90 40 cos 12 t 12 24 36 48 Noon Midnight Noon Midnight Devise a mathematical model for the temperature T(t) of a body within this environment. (Use T for T(t).) 15 dT dt e 90kt + 480k sin (%)) 12