The magnetic flux density in all of space is given by B = (- (8x + z))a, + (- (x²y+ 6x² ) )a, + (8y + 8z +x² z)a, Wb/m². Let S denote the paraboloidal surface defined by y = x² +z?, 0 < y< 1. Find the net magnetic flux O passing through S in the direction away from the xz-plane. ANSWER: O = -5.49779 Wb

The magnetic flux density in all of space is given by B = (- (8x + z))a, + (- (x²y+ 6x² ) )a, + (8y + 8z +x² z)a, Wb/m². Let S denote the paraboloidal surface defined by y = x² +z?, 0 < y< 1. Find the net magnetic flux O passing through S in the direction away from the xz-plane. ANSWER: O = -5.49779 Wb