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Use Green;s theorem to find vector field of a disk One version of Green's theorem is the following. If F is a smooth vector field

Use Green;s theorem to find vector field of a disk

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One version of Green's theorem is the following. If F is a smooth vector field in R-, and Q C Ra, then k . V x Fdcdy = F . tds, (8) Q where t is the positively oriented unit tangent vector of OQ, k = (0, 0, 1), and F is treated as a 3-D vector field with zero z component. Write down (8) explicitly for the disk Q = D(c, () centered at c for any radius (. Note: the general Stokes theorem is

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