Given $x_B=8$ in$,r_2=1\mathrm{.}7in,r_3=8in,e=1in,$ find ${}_2$ with Newton Raphson method. You can start from for initial value ${}_2=5\frac{}{18}$ and two interations are required. The formular you should use include:

$f^{\text{'}}(x_n)=\frac{f(x_n)}{x_n-x_{n+1}}.,f(x)=r_{2}cosx+\sqrt[\phantom{2}]{r_3^2-(e+r_{2}sinx{)}^2}-x_g$

$f^{\text{'}}(x)=-r_{2}sinx-\frac{(e+r_{2}sinx)r_{2}cosx}{\sqrt[\phantom{2}]{r_3^2-(e+r_{2}sinx{)}^2}}$

$(20$ pts$)$

I will upvote please help