In Exercise 14 in Section 7.1 we considered a cup of coffee in a room. Suppose it is

Chapter 7, Problem 28

(choose chapter or problem)

In Exercise 14 in Section 7.1 we considered a cup of coffee in a room. Suppose it is known that the coffee cools at a rate of per minute when its temperature is . (a) What does the differential equation become in this case? (b) Sketch a direction eld and use it to sketch the solution curve for the initial-value problem. What is the limiting value of the temperature? (c) Use Eulers method with step size minutes to estimate the temperature of the coffee after 10 minutes.

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