Problem $2.$

Consider the following implementation of an iterative method:

from numpy import cos$,$ sin$,$ sqrt

$x=0\mathrm{.}5$

err $\frac{?}{a}=bs(\sqrt[\phantom{2}]{x}-cos(x))$

while err $>1e-6$ :

$dx=-\frac{\sqrt[\phantom{2}]{x}-cos(x)}{\frac{1}{2**\sqrt[\phantom{2}]{x}}+sin(x)}$

$x+=-dx$

err $\frac{?}{a}=bs(dx)$

print $($x$)$

a$)$ What method is supposed to be implemented above?

b$)$ Write down the specific equation being $($iteratively$)$ solved by the algorithm.

c$)$ An error is present in the code, spot it$.$

Stitch It$!$