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Unformatted text preview: by induction to show that any convex combination of m points lies in C provided that any convex combination of m1 points lies in C . 4. Prove that x = (1 / 2 , 1) is a global solution of minimize 2 x 2 1 + 4 x 1 x 2 + 5 x 2 26 x 112 x 2 subject to1 x 1 11 x 2 1 Hint: Use the optimality conditions in Section 7.1 5. Do exercise 721. * Hard copy to be submitted in class on the due date. No late homework accepted....
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 Fall '11
 Recth

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