c) is a yes or no

At 1:00 pm on one winter afternoon, your heat goes out due to a power outage. When the power goes out, it is 21C in your house. At 11:00pm, it is 14C in the house, and you notice that it is 11C outside. (a) Assuming that the temperature, T, in your home obeys Newton's Law of Cooling, write the differential equation satisfied by T. Your equation may involve T, the values in the problem, and a positive constant of proportionality k. dtdT= (b) Solve the differential equation to estimate the temperature in the house when you get up at 10:00 am the next morning. Temperature = (c) Should you worry about the pipes freezing? (d) Think about your equation in (a): what (probably incorrect) assumption did you make about the temperature outside? Given this, would you revise your estimate up or down? Why