The temperature of a cup of coffee t minutes after it is poured and placed on the kitchen table is given by: Ct= 77 + 110·e-0.04t where C(t) is in degrees Fahrenheit. (a) What is the initial temperature of the coffee when it is poured? Explain. (b) In order to safely drink the coffee, it must be less than 150 degrees Fahrenheit and greater than 110 degrees Fahrenheit. When will the temperature of the coffee reach between 150 degrees F and 110 degrees F.? (c) What is the temperature of the kitchen that the coffee is sitting in? Explain how.
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