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$\mathrm{f}(x)=\sin (2 x)+\ln (x) \quad x>0$
(a) Show that $y=\mathrm{f}(x)$ has a stationary point in the interval $[1,1.1]$
(b) Staring with $x_{0}=1.05$, apply the Newton-Raphson procedure twice to find an approximation for the $x$ coordinate of the stationary point in the interval $[1,1.1]$.
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