Question: Use Newton Raphson method and bisection method to find the roots of the following functions, accurate to within 0.001. Report the method, the root estimate,

Use Newton Raphson method and bisection method to find the roots of the following functions, accurate to within 0.001. Report the method, the root estimate, the number of iterations used, and the final error for each in a table.

a. f(x) = x^3 -3*x^2 -2, initial guess 4

b. f(x) = x cos(x), initial guess pi/4

c. f(x) = x-0.8 -0.2sin(x), initial guess 4pi

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