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Using calculus establish the inequality,...

Using calculus establish the inequality, `(x^(b)+y^(b))^(1//b) lt ( x^(a)+y^(a))^(1//a)`, where `x gt 0 , y gt 0` and `b gt a gt 0`.

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The correct Answer is:
`rArr (t^(b)+1)^(a//b) lt t^(a)+1` Hence proved
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