NOTE:

When using Python, use the plt.subplot command from Matplotlib when comparing 2 or more plots to make comparisons easier.

Clearly label all plots (title, x-label, y-label, and legend).

6. Consider the function f(x) = e' - 2? + 3.r - 2, which has a root in the interval [-2,1]. One way to approximate this root is to repeatedly apply Newton's method: for n = 1,2,3,...,N -1 f( -1) f'(2n-1) wherer is some initial guess and N is the number of iterations. (a) Create a Python file called Newton.py. Inside this file, write a function of the following form that implements Newton's method: def Newton(f, df,x0,N). where f is the function whose root is sought, df is the derivative of this function, xo is the initial guess, and N is the number of iterations. (b) Apply this method to the function f(x) = -22 +3. 2. User' = -0.5 as your initial guess. Using trial-and-error find the minimal N such that If (r)