P$4.$ Write a PYTHON program to implement the false position method to find the roots of the following equation,

accurate up to four significant digits.

$f(x)=2xcos(2x)-(x-2{)}^2$

a$)$ First, define a PYTHON function in the following manner:

def falsepos$($fx$,$ a$,$ b$,$ es$)$:

where the input arguments are: fx the lambda function for $f(x),a,b$ the root$-$finding bracket and es

the stopping criteria. Thereafter, call this function for different brackets to find the roots. Report their

values.

b$)$ Make a plot of $f(x)$ vs$.x$ and identify these roots via markers.