[Solution Library] In Exercise 14 in Section 10.1 we considered a 95 °C cup of coffee in a 20°C room. Suppose it is known that the coffee cools at a rate of
Question: In Exercise 14 in Section 10.1 we considered a 95 °C cup of coffee in a 20°C room. Suppose it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C.
- What does the differential equation become in this case?
- 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?
- Use Euler’s method with step size 12 = 2 minutes to estimate the temperature of the coffee after 10 minutes.
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