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Does anyone know how to use Stokes Theorem?
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Let S be the part of the plane \[z=f(x,y)=4x-8y+5 \] above the region \[(x-1)^{2}+(y-3)^{2}\le0\] oriented with an upward pointing normal. Use Stokes Theorem to evaluate \[\int\limits_{}^{}_{dS}(2zi+xj+k) dS\]
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I got the curl of F to be (0, 2, 1) but I'm not sure where to go from there.
\[(x-1)^2+(y-3)^2\le0\] this is a circular path centered at (1,3) and the radius goes negative??
i got it as a circle centered at (1,3) with a radius of 3
it should be \[(x-1)^{2}+(y-3)^{2}\le9\]
the canonical equation of circle: \[(x-h)^2+(y-k)^2=r^2\]
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aah
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