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6. Compute the flux of V through S, where: a) S = {(x, y, z)|x + y +z = 3, x, y, z ≥ 0} and V = (2z − x, y + x, 3z). - b) S = {x² + y² + z² = R², z ≥ 0} and V = (x, y, z). c) S = {x² + y² + z² = 4, z ≥ 0} and V = (x², −2xy, z). d) S = {x² + y² = z, z € [0, 1]} and V = (x², y², z²). e) S = {x² + y² = z², z € [1,2]} and V = (y — z, z — x, x − y). f) S = {x² + y² = a², z € [−1,1]} and V = (x, z — x, x − y). - -