using python without using any powerful functions in pycharm besides the math and copy functions.

Write a function defined as: def Secant(fcn, x0, x1, maxiter=10, xtol=1e-5):

Purpose: use the Secant Method to find the root of fcn (x), in the neighborhood of x0 and x1.

fcn: the function for which we want to find the root

x0 and x1: two x values in the neighborhood of the root

xtol: exit if the |xnewest - xprevious| < xtol

maxiter: exit if the number of iterations (new x values) equals this number

return value: the final estimate of the root (most recent new x value)

Write and call a main () function that uses your Secant function to estimate and print the solution of:

x-3cos(x)=3: with x0=1, x1=2, maxiter= 5 and xtol= 1e-4

cos(2x)(x^3)= 0: with x0= 1, x1=2, maxiter=15 and xtol= 1e-8

cos(2x)(x^3)= 0: with x0= 1, x1=2, maxiter=3 and xtol= 1e-8

3cos

0

xx

;

with x0=1, x1= 2, maxiter

= 5 and xtol = 1e

-

4

3

cos 2

0

xx

;

with x0=1, x1= 2, maxiter = 15 and xtol = 1e

-

8

3

cos 2

0

xx

with x0=1, x1= 2, maxiter = 3 and xtol = 1e

-

8