A warehouse is being built that will have neither heating nor cooling. Depending on the amount of insulation, the time constant for the building may range from 2 to 4 hr. To illustrate the effect insulation will have on the temperature inside the warehouse, assume the outside temperature varies as a sine wave, with a minimum of 16 C at 2:00 A. M. and a maximum of 30 C at 2:00 P. M. Assuming the exponential term (which involves the initial temperature T0) has died off, what is the lowest temperature inside the building if the time constant is 2 hr? If it is 4 hr? What is the highest temperature inside the building if the time constant is 2 hr? If it is 4 hr?