3. (30 points) The following three equations cy - w = 0 Fl (x, y, w; 2) = 0, y + 2w3 - z = 0 F2 (x, y, w; z) = 0, 3w3 + 23 - 4zw = 0 F3 (x, y, w; 2) = 0, are satisfied at point Q : (x, y, w; z) = (-1, -1, 1; 1) . (a) Check whether point Q 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/Oz, dy/Oz, Ow/Oz. (d) Evaluate the system at point Q and use the Cramer's rule to solve it giving a numerical solution for Ox/Oz, dy/Oz, Ow/Oz