Evaluate the surface integral F. dS for the given vector field F and the oriented surface...

 

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Evaluate the surface integral F. dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + 16x² j + yz k S is the surface z = xeY, 0 <x< 1,0 < y < 4, with upward orientation Evaluate the surface integral F. dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + 16x² j + yz k S is the surface z = xeY, 0 <x< 1,0 < y < 4, with upward orientation