Newton’s law of cooling states that the rate of cooling of an object is proportional to the difference between its temperature and the ambient temperature.
(a) Assuming this, formulate an initial value problem that models the cooling of a cup of coffee.
(b) Suppose that the ambient temperature is 20◦ C, the coffee is initially at a tem- perature of 90◦ C, and is initially cooling at a rate of 8◦/minute. How long will it take for the coffee to cool to 75◦.

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The 8 should be negative, because the object is cooling:
-8 = -k(90 - 20)
Sorry...

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