Instant coffee is made by adding boiling water (212F) to coffee mix. If the air temperature is

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Instant coffee is made by adding boiling water (212ºF) to coffee mix. If the air temperature is 70ºF, Newton’s law of cooling says that after t minutes, the temperature of the coffee will be given by a function of the form f(t) = 70 + Ae−kt. After cooling for 2 minutes, the coffee is still 15ºF too hot to drink, but 2 minutes later it is just right. What is this “ideal” temperature for drinking?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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