4) In his lab, Caesar constructed a device that made an electric field which was given by the function E = xt+ y) = (x, y) . He then turned to Leo and gave him the following assignment. Show how Leo answered it: a) What would be the potential function corresponding to this field? b) Is this a conservative field? (Caesar gave Leo a hint: show whether the work done going from a point such as the origin (0,0) to a point (x,y) is independent of the path