Math  /  Calculus

QuestionIf a cup of coffee has temperature 91C91^{\circ} \mathrm{C} in a room where the ambient air temperature is 19C19^{\circ} \mathrm{C}, then, according to Newton's Law of Cooling, the temperature of the coffee after tt minutes is T(t)=19+72et/48T(t)=19+72 e^{-t / 48}. What is the average temperature of the coffee during the first 16 minutes? average temp = \square 91 C{ }^{\circ} \mathrm{C}

Studdy Solution
The average temperature of the coffee during the first 16 minutes is approximately 80.85C80.85^{\circ} \mathrm{C}.

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