Newton's law of cooling states the the rate of change of the temperature of an object is proportional to the difference between the temperature of...

You are not expected to

know what number this is.)

(b) Suppose you have a cup of tea at 95◦C in a room that is at 25◦C. Write down the initial value problem for T.

(c) Each day you prepare tea to take to class. After making the tea, you have five minutes to cool it down as much as possible, before putting it into your thermos.

You always add cold milk to your tea. At what point during the five minutes should you add the milk to maximize cooling?