A cube is immersed in a non-uniform electric field = 3.0x + 4.0 . a) For each of the six faces of the cube, determine the direction of area vector and the electric flux through each face (faces I, II, and III are the visible faces while faces IV, V, VI are the hidden faces). Area Element d Electric Flux (N-2) k Face I 1.0 m IV Face II III 3.0 m 11 Face III VI - -2.0 m - 2.0 m Face IV Face V Face VI b) Determine the net flux through the cube and use Gauss's law to determine the how much charge is enclosed by the cube. You may leave your answer in terms of Eq.