attached quesion

(a) Hot water is dripping through a coffee maker into a 16 ounce mug. The rate at which the water drips from the machine is 21 -4 ounces per minute, where / is the time in minutes since the water started dripping Let (($) be the amount of coffee in the cup in ounces at time f. Write the function C() as a definite integral. CO = (b) When the mug is completely full, the temperature of the coffee is 90"C. 2 minutes after the coffee is done, the temperature of the coffee is 819. The rate of change of the temperature is 0.14 times the difference between the temperature of the mom and the temperature of the coffee. What is the temperature of the room