Homework Statement
Considering the vector Field F(x,y,z))(zx, zy, z2), and the domain whose boundary is provided by S=S1∪S2 with exterior orientation and
S1={(x,y,z)∈ℝ3 : z=6-2(x2+y2), 0≤z≤6},
S2={(x,y,z)∈ℝ3 : z=-6+2(x2+y2, -6≤z≤0}.
Compute the total flux of F across S.
Homework Equations...