Assume that the rate at which a cup of coffee cools to room temperature is proportional to the difference between its temperature T° C and the ambient room temperature R°C. Acup of coffee is placed in a 20°C room, cools from 100°C to 87° C in 3 minutes. The temperature varies over time t (in minutes) according to T= R+Ae kt:t 20. a) Enter the values of R and A in the box below. R = Number A = Number b) Enter the exact value of k, in Maple syntax, in the box below. k = %3D c) The temperature of the cup of coffee will be 60°C when t = Number Correct your answer to 1 decimal place. d) Enter the limiting value of its temperature in the box below. Number

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