Identify the work done, [6 RE; by an electric eld, E = (x +xy)f+ 4 Q {3) (32+ SJj 52E 2 2 Him to move an electron along path C, where it is a portion of I: + y? = 1 that is in the fourth quadrant with counter clockwise direction and stop at position (0, , 2) as shown in Figure tha}. [7 marks) {bl in) {d} Solve the electric flux through a paraboloid z = x2 + 3,2 16 that lies below plane 2 = In. It is oriented by an outward unit normal vector with F" = 3x? + 4;) 52212. [7 marks) Determine the flux of the vector field I?" = x3? 23;} + 7252?} across a cone 2 = 1.fo +3?2 + 3 that lies in between the planes 2 = 4 and z = 8 by using Gauss's theorem. [7 marks) Use Stokes' theorem to evaluate I: 15.3? where F" = zzi + yzj + x1? and C is the triangle with vertices {1, , 0), (D, 1, 0), and {0, , 1). The unit vector normal is upward. [4 marks) Figure (1413)