Early Monday morning, the temperature in the lecture hall has fallen to 40°F, the same as the temperature outside. At 7:00AM, the janitor turns on the furnace with the temperature set at 80°F. The time constant for the building is 2 hours and that for the building with its heating system is 1/2 hour. Assume that the outside temperature remains constant. What is the temperature of the building at 9:00AM? 69.45

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