Find the flux of the vector field F across the surface S in the indicated direction. F = 4x 2 j  - z 2 k; S is the portion of the parabolic cylinder y = 6x 2 for which 0 ≤ z ≤ 3 and -1 ≤ x ≤ 1; direction is outward (away from the y-z plane)   a) - 8   b) -24   c) 8   d) 24

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