Find the outward flux of the given vector field F on the region D which is bounded by the pparaboloid z = x² + y², and the plane z = 2y. F = 3x²y²i+yj - 6zxy²k Use the following trigonometric identities: cos² (t) = = X Z 1+cos (2t) 2 sin² (t)= = (20 pt.) 1-cos (2t) 2 z²+(y-1)² = 1 Projected area on x-y plane

Fig: 1