A pan of cold water with a temperature of 35F is brought into a room with a

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A pan of cold water with a temperature of 35°F is brought into a room with a temperature of 75°F. After 1 hour, the temperature of the pan of water is 45°F. 

(a) Find T0, D, and a so that T(t) = T0 + Dat models the data, where is in hours. 

(b) Find the temperature of the water after 3 hours. 

(c) How long would it take the water to reach 60°F?

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