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Thursday, December 29, 2011

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If we let C denote the original coffee temperature and M the milk temperature, we see that

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Assume that the difference in specific heats of coffee and milk are negligible, so that if you add milk at temperature M to coffee

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An early calculus homework problem is to compute that the temperature of the coffee decays exponentially with time

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Wednesday, December 28, 2011

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Assume that the coffee cools at a rate proportional to the difference in temperature, and that the amount of milk is sufficiently small that the constant of proportinality is not changed when you add the milk.

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Solution Normalize your temperature scale so that 0 degrees = room temperature

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