Stokes' theorem equates the line integral of
along the curve to the surface integral of the curl of
over any surface with the given curve as its boundary. The simplest such surface is the triangle with vertices (1,0,1), (0,1,0), and (0,0,1).
Parameterize this triangle (call it
) by


with
and
. Take the normal vector to
to be

Divide this vector by its norm to get the unit normal vector. Note that this assumes a "positive" orientation, so that the boundary of
is traversed in the counterclockwise direction when viewed from above.
Compute the curl of
:

Then by Stokes' theorem,

where



The integral thus reduces to

Answer:
B
Step-by-step explanation:
The domain is the x axis and if you look at the x axis it shows up to 11 months. So that means that the domain shows flower production up to 11 months
Answer:
you add 5 for the compound investments each time
you add 6 for the simple investments each time
The best description for point F is: b. Circumcenter of triangle ABC.
<h3>What is the Circumcenter of a Triangle?</h3>
The perpendicular bisector is the line is drawn from the vertex of a triangle and bisects the opposite side at right angle. A triangle has three perpendicular bisectors.
The point where the three perpendicular bisectors of a triangle intersects is called the circumcenter of a triangle.
The triangle in the image above has three perpendicular bisector that meets at point F.
Therefore, the best description for point F is: b. Circumcenter of triangle ABC.
Learn more about the circumcenter on:
brainly.com/question/21299234
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Answer:
Converges at -2
Step-by-step explanation:
We solve this by using integral by parts.

let:


We use the following expression for integral by parts:


We can take the limit with x tending to -1

The integral converges at -2