Problem 3: Let f(x, y) = 2xvy-x2. (a) Find the linearization L(x, y) of f(x, y) at the point (3, 4). (b) Find L(3, 4), Lx (3, 4) and Ly (3, 4). (c) Estimate f (3.03, 3.96). Problem 4: Let S be the surface defined by r? = z - 4 sin(y). (a) Find an equation for the tangent plane to S at (1, 0, 1). (b) Find the parametric equations for the normal line to S at (1, 0, 1)