In a scorching conference room at 90 degrees Fahrenheit, a cool drink at 36°F is put.  The temperature is 54°F after fifteen minutes. a) Determine the drink's temperature T(t) after t minutes, assuming Newton's rule of cooling is followed. b)When the drink reaches 74 degrees Fahrenheit,how long does it take?

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
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In a scorching conference room at 90 degrees Fahrenheit, a cool drink at 36°F is put. 
The temperature is 54°F after fifteen minutes.
a) Determine the drink's temperature T(t) after t minutes, assuming Newton's rule of cooling is followed.
b)When the drink reaches 74 degrees Fahrenheit,how long does it take?
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