A force field (in newtons) is defined by (b) (c) F(x, y) = [+ where coordinates x and y are in meters. (a) Evaluate F(0, 1), F(1, 1), F(-1, -1), F(2, -1) and sketch them on the xy-plane. (d) T Show that the force field is conservative. -*+] Evaluate a scalar potential function E(x,y) such that F = VE. (8 marks) (3 marks) (8 marks) Hence, compute the work done by F(x, y) from point (0, 1) to point (1, 1), along the curvey = 1 + x - 2. (3 marks)