3. (30 points) The following three equations C! - W 0 F (x, V, W; 2) = 0, y + 2w - 2 = 0 F (x, V, W; 2) = 0, 3up + 2- 42w = 0 F (x,y, W; 2) =0, are satisfied at point Q: (x, y, w; 2) = (-1, -1, 1;1). (a) Check whether point @ satisfies the system of three equations above. (b) Calculate the Jacobian and check if the Jacobian is non-zero at Q. (c) Write down the system for Ox/02, dy/02, Ow/02. (d) Evaluate the system at point Q and use the Cramer's rule to solve it giving a numerical solution for Ox/02, Dy/0z, Ow/0z