e ſſ (V × F) · dS where F(x, y, z) = −12yzi + 12xzj + 19(x² + y²)zk and S is the part of the paraboloid z = x² + y² thatUse Stokes' theorem to evaluatelies inside the cylinder x² + y² = 1, oriented upward. Use Stokes' Theorem to find the circulation of F = (xy, yz, xz) around the boundary of the surface S given by z = 25 - x² for 0 ≤ x ≤ 5 and −5 ≤ y ≤ 5,oriented upward. Sketch both S and its boundary C.CirculationF.dr=

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Use Stokes' theorem to evaluate // (V × F) · dS where F(x, y, z) = −12yzi + 12xzj + 19(x² + y²)zk and S is the part of the paraboloid z = x² + y² that lies inside the cylinder x² + y² = 1, oriented upward.