An electric field given by E→ = 6.2i^ − 3.6(y2 + 4.6)j^ pierces the Gaussian cube of edge length 0.410 m and positioned as shown in the figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the electric flux through the (a) top face, (b) bottom face, (c) left face, and (d) back face? (e) What is the net electric flux through the cube?