In this question you are required to implement the Newton$-$Raphson root$-$finding method to find the root of the non$-$linear equation

$\frac{1}{10}(x-\frac{1}{2}{)}^{\text{e}\text{x}\text{p}(2sin(2x-2))}-\frac{1}{2}=0,$

for $x$ in the interval $1,2.$

$($a$)$ Apply the Newton$-$Raphson method to this equation using $10$ iterations for five different starting values: $1,1\mathrm{.}25,1\mathrm{.}5,1\mathrm{.}75$ and $2.$ In each case, you should clearly display the required inputs to your function and display the resulting output to $5$ decimal places.

$($b$)$ With the aid of a sketch or sketches, explain why the estimates from part $($a$)$ differ from each other.

$($c$)$ Explain why, for this particular function, the Bisection method may be a more appropriate root$-$finding algorithm to approximate the desired solution in the range $1,2$

MATLAB CODE PLEASE