Question: Problem #5: A hot drink is taken outside on a cold winter day when the air temperature is -8C. According to a principle of physics

Problem #5: A hot drink is taken outside on a cold winter day when the air temperature is -8C. According to a principle of physics called Newton's Law of Cooling, the temperature 7 (in degrees Celsius) of the drink t minutes after being taken outside is given by I (t) = -8+ Ae-KI where A and k are constants. (a) Suppose that the temperature of the drink is 82 C when it is taken outside. Find the value of the constant A. (b) In addition, suppose that 20 minutes later the drink is 23.C. Find the value of the constant k. (c) What will the temperature be after 33 minutes? (d) When (i.e., after how many minutes) will the temperature reach 0.C

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