The diagram shows the curve $$\(y=\frac{\tan ^{-1} x}{\sqrt{x}}\)$$ and its maximum point $$\(M\)$$ where $$\(x=a\)$$. Verify by calculation that $$\(a\)$$ lies between $$\(1.3\)$$ and $$\(1.5\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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