A cup of coffee with cooling constant k = 0.09 min1 is placed in a room at

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A cup of coffee with cooling constant k = 0.09 min−1 is placed in a room at temperature 20°C.

(a) How fast is the coffee cooling (in degrees per minute) when its temperature is T = 80°C?

(b) Use the Linear Approximation to estimate the change in temperature over the next 6 s when T = 80°C.

(c) If the coffee is served at 90°C, how long will it take to reach an optimal drinking temperature of 65°C?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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