10) The electric potential V in a region of space is given by V(x, y, z) = ax2+ay2-Zaz2 a is a constant a) Derive an expression for the electric field E that is valid at all points in space. b) Find the work done by the field when a 2.00 uC test moves from the point (x.y.z) = ( 0, 0, 0.100 m) to the origin. c). Find the Electric field at ( 0, 0, 0.100 m)