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Posted Date: May 17, 2024 06:11 PM

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Let B > 0. Show that the maximum of (x 1 , . . . , x n ) = x 1 + + x n subject to x 2 1 + + x 2 n = B 2 is nB. Conclude that for all numbers a,..., an lal++lanl n(a + + a) / 1/2
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