Derive the sign of the net electric flux (positive or negative) passing through a sphere of radius r = 6.0 m, centered at the Cartesian coordinate (0,0,6)
, immersed in the electrostatic potential field V(x,y,z)=3x-2y^2+z^3
. (You do not need to calculate the magnitude to receive full credit.) Assume that 1 unit along a basis vector is equal to 1 meter.