Answer:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
= 1.71828
Step-by-step explanation:
(a)
The function f is continuous at [1,e] and differentiable at (1,e), therefore
the mean value theorem applies to the function.
(b)
You are looking for a point
such that

You have to solve for
and get that
= 1.71828
EXPLANATION
If the height of the can is 4 inches and the diameter is 3--> radius=1.5 inches, the area is given by the following relationhip:

Replacing terms:

The approximate area is 37.7 in^2
The decimal in standard form for 12 and six hundredths is 12.06