Section 14.7: Problem 9 (1 point) Let f (x, y) = x2 + kxy + y2 where k is a constant. For what values of k does the Second Derivative Test guarantee that f (x, y) will have a saddle point at the origin? k6 For what values of k does the Second Derivative Test guarantee that f (x, y) will have a local minimum at the origin? k E ::: For what values of k does the Second Derivative Test guarantee that f (x, y) will have a local maximum at the origin? k E 5!! For what values of the constant k will the Second Derivative Test be inconclusive for f (x, y) at the origin? k E E5! Enter your answers using interval notation. Section 14.7: Problem 10 (1 point) Find the minimum distance from the cone 2 = 'lxz + y2 to the point (2, 6, 0) . The minimum distance is :=: Find the point on the graph of z = 5x2 + 5y2 + 11 nearest the plane 82 (3x + 8y) = 0. The closest point is :=: Find the minimum distance from the point (2, 6, 7) to the plane 4x + 3y + z = 0. The minimum distance is :=