A house is initially at 12° C when the power goes out. The outside temperature varies according to Te = 9+10cos 2nt where t is measured in days. The heat-loss coefficient for the house is k = 3 (this is the proportionality constant in Newton's Law of Heat Transfer). Find a formula for the temperature inside the house and graph it along with Te on the same axes. What is the time lag between the maximum inside and outside temperatures?

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