Define the smallest positive root of the polynomial x³ +3.8x² −8.6x-24.4 = 0. (a) Use Newton-Raphson's method to determine the solution in the first five iterations. Use as a first estimate x=2. (b) Plot the function and select two points near the root to start the solution process with the secant method by using five iterations. Use four decimal points and compare the results. Which method converges faster? Solve the problem by hand.

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