Let F = M(x, y) i + N(x, y) j. The divergence theorem shows that the flux of F across a

Chapter 6, Problem 24

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Let F = M(x, y) i + N(x, y) j. The divergence theorem shows that the flux of F across a closed curve C (i.e., C F n ds) is equal to D(Mx + Ny ) d A, where D is the region bounded by C. Use Greens theorem to establish a similar result involving C F Tds, the circulation of F along C. (See also 6.1.)

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