verify storke's theorem in aplane for F=(2xy-x2)i-(x2-y2)j where c is the bounded region by the parabolas y2=x and x2=y
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Step-by-step explanation:
Hopefully you recognize the formula, and can see that it's the top half of a sphere. The boundary of this surface is then the intersection of this hemisphere with the xy-plane -- that is, the unit circle: x2+y2=1. That boundary is closed and that surface is orientable so Stokes' theorem applies.
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