We know that the side lengths of the square base are: x * x. The volume is 12, so for now, let's say that y is the other side length. Then, x * x * y = 12. We can solve for y: y = 12/x^2. Now, we find the surface area of the 5 sides.
Four of the sides have the same area: x * (12/x^2) = 12/x, so we multiply this by 4: 48/x.
The last side is the base: x * x = x^2.
We add 48/x to x^2:
x^2 + 48/x
So, the answer is the fourth choice, (d).
Treat

as the boundary of the region

, where

is the part of the surface

bounded by

. We write

with

.
By Stoke's theorem, the line integral is equivalent to the surface integral over

of the curl of

. We have

so the line integral is equivalent to


where

is a vector-valued function that parameterizes

. In this case, we can take

with

and

. Then

and the integral becomes


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The sum total of the angles in a triangle is equal to 180° degrees.
Answer: C
The total height of a 3 inch tree after it grows 2 inches per month