(a) Under what conditions on the constant k will the function f (x, y) = kx 2 2x y + ky2
Chapter 4, Problem 22(choose chapter or problem)
(a) Under what conditions on the constant k will the function f (x, y) = kx 2 2x y + ky2 have a nondegenerate local minimum at (0, 0)? What about a local maximum? (b) Under what conditions on the constant k will the function g(x, y,z) = kx 2 + kxz 2yz y2 + k 2 z2 have a nondegenerate local maximum at (0, 0, 0)? What about a nondegenerate local minimum?
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