(a)determine whether the force represented by f(x, y) = k[(x+ y2)i + 2xy j] is conservative or not. here, k =1 nm^-2 (b). calculate the work done by this force

(a)Determine whether the force represented by F(x, y) = k[(x+ y2)i + 2xy j] is conservative or not. Here, k =1 Nm^-2 (b). Calculate the work done by this force in moving a particle from the origin O(0, 0, 0) to the point D (1,1,0) on the z = 0 plane along the paths OABD and OD as shown in the figure, where the coordinates are measured in metres.