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Let \(x \) and \(y \) be nonnegative real numbers such that \(x+y=1 \). Find the maximum value of \(x^4 y + xy^4\)

 Nov 16, 2019
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When x = y = 1/2, x^4*y + xy^4 = 1/16, so this is the maximum value.

 Nov 16, 2019

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