Assume the steady state temperature of an insulated building is given by S(t) = T0 kT1 k cos t sin t k 2 2 , with t measured in hours. If T0 = 75, T1 = 10, = /12, and k = 1/2, use superposition formula from class (1/19) to find the maximum and minimum temperatures of the building and at what times they occur. (Assume t = 0 is 12pm