If a cup of coffee is left on a counter top, it cools off slowly. The temperature in

Chapter 3, Problem 51

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If a cup of coffee is left on a counter top, it cools off slowly. The temperature in degrees Fahrenheit t minutes after it was left on the counter is given by C(t) = 74+103e0.033t . (a) What was the temperature of the coffee when it was left on the counter? (b) If the coffee was left on the counter for a long time, what is the lowest temperature the coffee would reach? What does that temperature represent? (c) Find C(5) and C(5). Explain what this tells about the temperature of the coffee. (d) Without calculation, decide if the magnitude of C(50) is greater or less than the magnitude of C(5)? Why?

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