COOLING A hot drink is taken outside on a cold winter day when the air temperature is -5C. According to a principle of physics called Newton's law of cooling, the temperature 7 (in degrees Celsius) of the drink / minutes after being taken outside is given by a function of the form T(t) = -5 + Aekt where A and k are constants. Suppose the temperature of the drink is 80C when it is taken outside and 20 minutes later is 25C. a. Use this information to determine A and k. b. Sketch the graph of the temperature function T(t). What happens to the temperature as t increases indefinitely (1 +*)? c. What will the temperature be after 30 minutes? d. When will the temperature reach 0C?