
Let

The curl is

where
denotes the partial derivative operator with respect to
. Recall that



and that for any two vectors
and
,
, and
.
The cross product reduces to

When you compute the partial derivatives, you'll find that all the components reduce to 0 and

which means
is indeed conservative and we can find
.
Integrate both sides of

with respect to
and

Differentiate both sides with respect to
and




Now

and differentiating with respect to
gives




for some constant
. So

The answer is A, as it is 3 over on the x axis and 12 up on the y
Okay, so first, the quadrants on a coordinate plane go counter clockwise.
2 | 1
__________|__________
3 | 4
(1/2, -1.8) Would be a little to the right of the y axis, and a little below the x axis.
So, your answer would be D) Quadrant IV
First divide 29.79 feet by 6

But since you can't plant only a fraction of a tree, you can plant a maximum of 4 trees per row.
Now there are ten rows so...
10×4 = 40
You can plant 40 trees at the maximum.