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questions below: Find the curl of the vector field F. F = x yzi + xy zj + xyz k 8 curl F = Di

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Find the curl of the vector field F. F = x yzi + xy zj + xyz k 8 curl F = Di kEvaluate V x (2xj) . n do where S is the hemisphere x2 + 2 + zz = 1, z2 0. Use the normal vectors pointed away from the origin. V x(2xj) . n do = (Type an exact answer, using it as needed.) SUse the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin. F = 3yi + (5 - 2x)j + (22 -2)k S: r(4, 0) = (3 sin ( cos 0)i + (3 sin () sin 0)j + (3 cos ()k, OSQST/ 2, 050s2n The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is (Type an exact answer, using it as needed.)

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