Examples for optimization subject to inequality constraints, Kuhn-Tucker

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Two examples for optimization subject to inequality constraints, Kuhn-Tucker necessary conditions, sufficient conditions, constraint qualification

Errata: At 17:32, (6/5, 8/5) is the only candidate point; (6/5, -8/5) does not satisfy the equation 4-2\lambda_1 y=0. At 46:55, (0,0) is not a candidate point, since it contradicts y larger than 2. At 50:56, it should be +26, not -26.

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