Question

If a cup of coffee has temperature \( 97^{\circ} \mathrm{C} \) in a room where the ambient air temperature is \( 17^{\circ} \mathrm{C} \), then, according to Newton's Law of Cooling; the temperature of the coffee after \( t \) minutes is \( T(t)=17+80 e^{-t / 48} \). What is the average temperature of the coffee during the first 34 minutes? average temp = \( \square \) \( { }^{\circ} \mathrm{C} \)

          If a cup of coffee has temperature \( 97^{\circ} \mathrm{C} \) in a room where the ambient air temperature is \( 17^{\circ} \mathrm{C} \), then, according to Newton's Law of Cooling; the temperature of the coffee after \( t \) minutes is \( T(t)=17+80 e^{-t / 48} \). What is the average temperature of the coffee during the first 34 minutes?
average temp = \( \square \) \( { }^{\circ} \mathrm{C} \)

If a cup of coffee has temperature 97^∘C in a room where the ambient air temperature is 17^∘C, then, according to Newton's Law of Cooling; the temperature of the coffee after t minutes is T(t)=17+80 e^-t / 48. What is the average temperature of the coffee during the first 34 minutes?
average temp = □ ^∘C

Added by Judy P.

Biocalculus Calculus for the Life Sciences

James Stewart 1st Edition

Chapter 6

Instant Answer

Solved by Expert Sri K

10/12/2022

Step 1

The temperature function is given by: \[ T(t) = 17 + 80 e^{-t/48} \] Show more…

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If a cup of coffee has temperature \( 97^{\circ} \mathrm{C} \) in a room where the ambient air temperature is \( 17^{\circ} \mathrm{C} \), then, according to Newton's Law of Cooling; the temperature of the coffee after \( t \) minutes is \( T(t)=17+80 e^{-t / 48} \). What is the average temperature of the coffee during the first 34 minutes? average temp = \( \square \) \( { }^{\circ} \mathrm{C} \)