(a) A cup of coffee has temperature 95C and takes 30 minutes to cool to 61C in...

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(a) A cup of coffee has temperature 95°C and takes 30 minutes to cool to 61°C in a room with temperature 20°C. Use Newton’s Law of Cooling to show that the temperature of the coffee after t minutes is

T(t) = 20 + 75e^–kt

where k ≈ 0.02.

(b) What is the average temperature of the coffee during the first half hour?

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Jan 15, 2021 05:31 AM

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(a) A cup of coffee has temperature 95C and takes 30 minutes to cool to 61C in...

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a Similar to Example 383 we have T ...View the full answer

Calculus Early Transcendentals

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