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On a hot Monday morning while people are working inside, the air conditioner keeps the temperature inside the building at 72'F. At 3 P.M.

On a hot Monday morning while people are working inside, the air conditioner keeps the temperature inside the building at 72'F. At 3 P.M. the air conditioner is turned off, and the people go home. The temperature outside decreases at a constant rate from 98'F at 3 P.M. to 75'F at midnight. If the time constant for the building is 3 hr, when will the temperature inside the building reach it's maximum?

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