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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Let B > 0. Show that the maximum of (x 1 , . . . , x

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Let B > 0. Show that the maximum of ƒ(x₁, . . . , x_n) = x₁ + · · · + x_n subject to x²₁ + · · · + x²_n = B² is √nB. Conclude that

for all numbers a,..., an lal++lanl n(a + + a) / 1/2

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 10:00 AM

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Let B > 0. Show that the maximum of (x 1 , . . . , x

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for all numbers a,..., an lal++lanl n(a + + a) / 1/2

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Calculus

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