In Exercise 14 in Section 9.1 we considered a 95oC cup of coffee in a room. 20oC Suppose it is known that the coffee cools at a rate of 1oC per minute when its temperature is 70oC.
(a) What does the differential equation become in this case?
(b) Sketch a direction field and use it to sketch the solution curve for the initial-value problem. What is the limiting value of the temperature?
(c) Use Euler’s method with step size h = 2 minutes to estimate the temperature of the coffee after 10 minutes.