Question: Find the critical points of the given function and classify them as local max- ima, local minima, saddle points, or none of these. 10. f(x,

Find the critical points of the given function and classify them

Find the critical points of the given function and classify them as local max- ima, local minima, saddle points, or none of these. 10. f(x, y) = 400 -3x2 - 4x + 2cy - 5y- + 48y 12. f(x, y) = (xty)(ry + 1) 13. Let f(x,y) = 3x2 + ky? + 9ry. Determine the values of k (if any) for which the critical point (0, 0) is : (a) A saddle point (b) A local maximum (c) A local minimum 14. Find A and B so that f(x, y) = x2 + Ar + y? + B has a local minimum value of 20 at (1, 0)

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