A parametric surface is given by r(u, v) = (u cos v, u sin v, u7), where 0 ≤ U ≤ 1 and 0 ≤ v ≤ 2n. A vector field F is given by F(x, y, z) = (2x, 2y, 2z). Find the maximum value of the flux integral ffs F • dS over the surface S defined by the parametric surface ru, v).
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