A cup of soup is initially 150°. Suppose that it cools to 140° in 1 minute in a room with an ambient temperature of 70°.
(a) Assume that Newton’s law of cooling applies: The rate of cooling is proportional to the difference between the current temperature and the ambient temperature. Write an initial-value problem that models the temperature of the soup.
(b) How long does it take the soup to cool to a temperature of 100°?
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