The dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .
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Stokes' theorem says the integral of the curl of over a surface
with boundary
is equal to the integral of
along the boundary. In other words, the flux of the curl of the vector field is equal to the circulation of the field, such that
We have
Parameterize the ellipse by
with and
.
Take the normal vector to to be
Then the flux of the curl is