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Given f^2(x)+g^2(x)+h^2(x) le 9 and U(x)...

Given `f^2(x)+g^2(x)+h^2(x) le 9` and `U(x)=3 f(x)+4 g(x)+10 h(x)`, where `f(x), g(x)` and `h(x)` are continuous `forall x` `in R`. If maximum value of `U(x)` is `sqrtN`, then find `N`.

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