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In: Advanced Math

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

A cup of hot coffee has a temperature of 201˚F when freshly poured, and is left in a room at 72˚F. One minute later the coffee has cooled to 191˚F.

a. Assume that Newton's Law of cooling applies. Write down an initial value problem that models the temperature of the coffee.

u'= -k(_____)

u(o)= _____

b. Determine when the coffee reaches a temperature of 183˚F. Give answer in minutes, and round the answer to two decimal places.

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Expert Solution

Colby Messinger answered 1 year ago
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