=
6. Using Stoke's theorem, find the circulation of the field F = (x² - y){ + 4zj+x+k around the
curve C in which the plane z = 2 meets the cone z = Vx² + y2 counter clockwise when
viewed from above. Ans: 41.
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Stokes' theorem relates a vector surface integral over surface S in space to a line integral around the boundary of S. Therefore, just as the theorems before it, Stokes' theorem can be used to reduce an integral over a geometric object S to an integral over the boundary of S
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