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Baumer8993
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Homework Statement
Verify Stoke's Theorem by computing both integrals: (stoke's theorem, and the original work integral).
σ is the portion of z = sqrt(4-x2-y2) above the xy-plane and the vector field is F = <2x-y, y*z2, y2z>
Homework Equations
stoke's theorem, and work integral
The Attempt at a Solution
When I do stoke's theorem I get <0,0,1> for my curl F. My normal vector is <2x, 2y, 2z>. After I do the two, and do the integral I get 33.51 for my answer.
My work integral I have <2cos(t), 2sin(t)> for my parametrization path. However, when I do the integral I get 12.5. I am not sure which one is right since I have tried the problem three times, but I always get the same answer, so I do not know what to do.