The ambient temperature Tm in 3 in Section 1 3 dT dt dT xT Tm or K T Tm 3 dt 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 70 20 cos nt 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