Suppose (0, 2) is a critical point of a function t with continuous second derivatives. In each

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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) txx(0, 2) = -1, gxy(0, 2) = 6, gyy(0, 2) = 1
(b) txx(0, 2) = -1, gxy(0, 2) = 2, gyy(0, 2) = -8
(c) txx(0, 2) = -4, gxy(0, 2) = 6, gyy(0, 2) = 9

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