# Use the Divergence Theorem to compute the net outward flux of the field F=(2x, 3y, -z)  across the surface S where S is the boundary of the tetrahedron in the first octant formed by the plane x+y+z=3.  Give the exact answer using pi as needed.

Question

Use the Divergence Theorem to compute the net outward flux of the field F=(2x, 3y, -z)  across the surface S where S is the boundary of the tetrahedron in the first octant formed by the plane x+y+z=3.

Give the exact answer using pi as needed.