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16.7.19 Question Help Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 5zi + xj + 5yk across the surface S: r(r,0) =r cos 0i + r sin 0j + (4-r") k, Ors2, 050s 2x in the direction away from the origin. The flux of the curl of the field F is. (Type an exact answer, using it as needed.)16.7.23 iQuestion Help Use 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 = 4yi + (5 - 2x)j + (2- -2)k S: r(4, 0) = (2 sin ( cos ()i + (2 sin () sin 0)j + (2 cos ()k, OSQsn/ 2, 050s2x 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.)16.7.30 Question Help Show that if F = xi + yj + zk, then V x F = 0. The curl of a vector field F = Mi + Nj + Pk is as follows. curl F = V XF = aN aM ap ay ax j + ON OM oz ox ay k Use the formula above to find the curl of F = xi + yj + zk. VxF = Vx (xi + yj + zk) = az i + ox day ay az az ax j + ax k