One quarter inch is 191/200 inch in diameter. Eight quarters are placed side-by-side along a line. How many inches long is the l
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By Stokes' theorem, the line integral of over
is given by the surface integral of the curl of
over
, where
is the region of intersection of the plane
and the cylinder
with
having positive/upward orientation.
Parameterize by
with and
.
Take the normal vector to to be
The curl of is
Then the line integral is equivalent to