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A cup of hot coffee has a temperature of 201ËšF when freshly poured, and is left...

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Advance Math

A cup of hot coffee has a temperature of 201ËšF when freshlypoured, and is left in a room at 72ËšF. One minute later the coffeehas cooled to 191ËšF.

a. Assume that Newton's Law of cooling applies. Write down aninitial value problem that models the temperature of thecoffee.

u'= -k(_____)

u(o)= _____

b. Determine when the coffee reaches a temperature of 183ËšF.Give answer in minutes, and round the answer to two decimalplaces.

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