$(20pts)$ Write out the lines of a MATLAB script that implements the Newton iteration procedure to

find one root of the function: $f(x)=sinx+x^2$ starting with $x=0\mathrm{.}5$ as the first value.

$($a$)$ Use a while loop to perform the iterations.

$($b$)$ Inside the while loop, calculate the current iteration number, $n,$ and the relative approximation error,

ea$.$

$($c$)$ Stop the iteration when ea is less than or equal to es $=0\mathrm{.}005\%.$