1. Newton's Law of Cooling. I have noticed that when my hot coffee sets in my 75 degree kitchen, it cools from 200 degrees to 175 degrees in 2 minutes. If I add milk to the 200 degree coffee, it immediately cools to 192 degrees but if I wait 6 minutes to add the milk after it has cooled a bit, the temperature only drops 5 degrees. Find the temperature of the coffee after 6 minutes in the following two cases: 1) I add the milk immediately and then let it cool for 6 minutes, or 2) I add the milk after the coffee has cooled for 6 minutes. Hint: The constant k is the same in both cases.