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April 17, 2014

Homework Help: Calculus (Derivatives)

Posted by Mishaka on Saturday, October 29, 2011 at 1:29pm.

A tray of lasagna comes out of the oven at 200F and is placed on a table where the surrounding room temperature is 70F. The temperature T (in F) of the lasagna is given by the function T(t) = e^(4.86753 - t) + 70, where t is time (in hours)after taking the lasagna out of the oven. t is greater than or equal to 0.
At which of the following times is the lasagna cooling SLOWEST?

A. 3 hours after being taken out of the oven
B. 5 hours after being taken out of the oven
C. 6 hours after being taken out of the oven
D. 7 hours after being taken out of the oven
E. 9 hours after being taken out of the oven

I want to say that it is E. 9 hours after being taken out of the oven, but I am a little unsure. Any help is appreciated!

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