Question: Use the Greens Theorem area formula in Exercises 16.4 to find the areas of the regions enclosed by the curves THEOREM 5-Green's Theorem (Flux-Divergence or

Use the Green’s Theorem area formula in Exercises 16.4 to find the areas of the regions enclosed by the curves THEOREM 5-Green's Theorem (Flux-Divergence or Normal Form) Let C be a piecewise smooth, simple closed curve enclosing a region R in the plane. Let

THEOREM 5-Green's Theorem (Flux-Divergence or Normal Form) Let C be a piecewise smooth, simple closed curve enclosing a region R in the plane. Let F = Mi + Nj be a vector field with M and N having continuous first partial derivatives in an open region containing R. Then the outward flux of F across C equals the double integral of div F over the region R enclosed by C. fF-n ds = f M dy - Ndx = f ( + N) de dy dx R Outward flux Divergence integral (4)

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