Concept explainers
Suppose you have just poured a cup of freshly brewed coffee with temperature 95°C in a room where the temperature is 20°C.
(a) When do you think the coffee cools most quickly? What happens to the rate of cooling as time goes by? Explain.
(b) Newton’s Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings, provided that this difference is not too large. Write a
(c) Make a rough sketch of the graph of the solution of the initial-value problem in part (b).
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Chapter 9 Solutions
Calculus, Early Transcendentals
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