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 - 5x)j + (z² − 2)k - S: r(0,0)=(√11 sin cos 0)i + (√11 sin o sin 0)j + (√11 c 0≤0≤2π cos)k, 0≤þ≤π/2, 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 as needed.)

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 - 5x)j + (z² − 2)k - S: r(0,0)=(√11 sin cos 0)i + (√11 sin o sin 0)j + (√11 c 0≤0≤2π cos)k, 0≤þ≤π/2, 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 as needed.)