Use convexity/concavity to establish that each of the following solutions x is either an unconstrained global maximum

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Use convexity/concavity to establish that each of the following solutions x is either an unconstrained global maximum or an unconstrained global minimum of the f indicated, and explain which.

(a) f1x1, x22! 1x1 - 522 + x1x2 + 1x2 - 722 at x = 12, 62

(b) f1x1, x22! 500 - 81x1 + 122 - 21x2 - 122 +

4x1x2 at x = 1 -1, 02

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