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Early Monday​ morning, the temperature in the lecture hall has fallen to 41°​F,the same as the...

Early Monday​ morning, the temperature in the lecture hall has fallen to 41°​F,the same as the temperature outside. At​ 7:00 A.M.​, the janitor turns on the furnace with the thermostat set at 70°F. The time constant for the building is 1/k=3 hr and that for the building along with its heating system is 1/k(1)=2/3 hr. Assuming that the outside temperature remains​ constant, what will be the temperature inside the lecture hall at 8:45 A.M.​? When will the temperature inside the hall reach 65°​F?

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