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The temperature f(h) of a body at time h (measured in hours) after being introduced into an environment having constant temperature T is f(h) =

The temperature f(h) of a body at time h (measured in hours) after being introduced into an environment having constant temperature T is f(h) = T + Ce^-kh, where C and k are constants. If a pot of coffee with a temperature of 100C is set down in a room that has a temperature of 20C, the coffee cools to 60C after 1 hour.

a) Solve for C and k. (I got C = 80, K = 0.683 here)

b) Find the temperature after half an hour

c) How long will it take for the coffee to cool to 50C?

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