Question: Suppose (0, 2) is a critical point of a function t with continuous second derivatives. In each case, what can you say about t? (a)

Suppose (0, 2) is a critical point of a function t with continuous second derivatives. In each case, what can you say about t?

(a) t_xx(0, 2) = -1, g_xy(0, 2) = 6, g_yy(0, 2) = 1
(b) t_xx(0, 2) = -1, g_xy(0, 2) = 2, g_yy(0, 2) = -8
(c) t_xx(0, 2) = -4, g_xy(0, 2) = 6, g_yy(0, 2) = 9

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