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$f(x)=\ln (2 x+1)+x^{2}-5 \quad x>-0.5$
(a) Show that $f(x)=0$ has a root in the interval $[1.8,1.9]$
(b) Find $\mathrm{f}^{\prime}(x)$
(c) Using $x_{0}=1.8$ as a first approximation, apply the Newton-Raphson procedure to find a second approximation, giving your answer to 3 decimal places.
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