L TP 2. Let (x, y) = x2 - yz. (i) Find the level curve of fpassing through the point (5, 3). (ii) Find the gradient of f at that point. (iii) Make a sketch of both the level curve and the gradient vector. (iv) Determine the equations of the normal line and the tangent line to the curve f(x, y) = x3 - y' at the point (5, 3)