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Numerical Analysis Newton's Method: Code needs to be written in Python. ( a ) Implement in code Newton's method to solve the following problem: f

Numerical Analysis Newton's Method:
Code needs to be written in Python.
(a) Implement in code Newton's method to solve the following problem:
f(x)=e6x+1.441e2x-2.079e4x-0.333=0,xin[-5,5].
with |f(x)| ftol =10-12.
(b) Run your code using the following 3 initial guesses: x0=-5,2,5. Summarize your numerical results.
(c) Numerically estimate the convergence rate for each of your computer runs. Analyze the results and
discuss the advantages and disadvantages of this algorithm.
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