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Use Stokes' theorem to evaluate F . dr where C is oriented counterclockwise as viewed from above. c F(x, y, z) = yzi + 8xzj
Use Stokes' theorem to evaluate F . dr where C is oriented counterclockwise as viewed from above. c F(x, y, z) = yzi + 8xzj + exyk, C is the circle x + y = 16, z = 2.Use the divergence theorem to calculate the surface integral F . dS; that is, calculate the flux of F across S. F(x, y, z) = e* sin(y) i + e* cos(y) j + yz~k, S is the surface of the box bounded by the planes x = 0, X = 2, y = 0, y = 3, z = 0, and z = 4
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