What is the lag time between max inside, outside temperatures of house?

[mfm12a]

1. A house is initially 12 degrees Celsius when its heating-cooling system fails. The outside temperaturevaries according to Te = 9 + 10 cos(2πt), where time is given in days. The heat loss coefficient ish = 3 degrees per day. Find a formula for the temperature variation in the house and plot it alongwith Te on the same set of axes. What is the time lag between the maximum inside and outsidetemperatures?
   

 

[Deleted member 4993]

2. A house is initially 12 degrees Celsius when its heating-cooling system fails. The outside temperaturevaries according to Te = 9 + 10 cos(2πt), where time is given in days. The heat loss coefficient ish = 3 degrees per day. Find a formula for the temperature variation in the house and plot it alongwith Te on the same set of axes. What is the time lag between the maximum inside and outsidetemperatures?

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