A cup of tea is prepared in a preheated cup with hot water so that the temperature of both the cup and the brewing tea is initially 190° F. The cup is then left to cool in a room kept at a constant 72° F. Two minutes later, the temperature of the tea is 150° F. Determine (a) the temperature of the tea after 5 minutes and (b) the time required for the tea to reach 100° F.

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