In both questions, take a as the last $2$ digits of your student Id number. Consider the nonlinear equation $2$x cos$(2$x$)($x $2)^2=0($a$)$ Write the general term xn of the Newton$$s iteration sequence with an arbitrary initial value x$0$ for the given equation. $($b$)$ Write a Python program which computes the iterations of the Newton$$s method starting with x$0=3.$a until $|$xn$+1$ xn$|<10^4$ and prints the computed terms of the sequence $\{$xn$\}$ and the value of n for which $|$xn$+1$ xn$|<10^4$ holds. $($c$)$ Return your solution file containing the solution of part $($a$),$ the Python code and the output of your Python code.