[15] 3. Consider two surfaces S'1 given by z = x2 + y' and $2 given by z = 2y'. () Identify the shapes of S1 and $2. (b) S1 and $2 have two curves of intersection. Show that one of the curves is given by r(t) = (t, t, 2+3 ), and find the other one.(c) If a force has vector field F = (y, x, z), compute the work of a particle moving along the curve r(t) given in (b) for Outs1