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  3. consider the following real 3rd order polynomial f

Consider the following real 3rd order polynomial f (x)= x^3− 5.5 x^2− 5x+ 37.5 A) Use the...

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Question

Advance Math

Consider the following real 3rd order polynomial

f (x)= x^3− 5.5 x^2− 5x+ 37.5

A) Use the bisection method to determine one of the roots,employing initial guesses of xl = - 10, xu = -1, and a stoppingcriterion εs=12% .

B) Use the false position method to determine a root, employinginitial guesses of xl = - 1, xu = 4, and a stopping criterionεs=3%. Was this method the best for these initial guesses?

C) Use the fixed point iteration to determine a root, employingan initial guess x0 = 7 and a stopping criterion εs=5%

D) Use the Newton-Raphson to determine a root, employing aninitial guess x0 = 7 and a stopping criterion εs=5%

Please please show all steps

Thank you

Answer & Explanation Solved by verified expert
4.4 Ratings (792 Votes)
Abisection method Let fxx355x25x375 1st iteration Here f10146250 Now Root lies between 10 and 1 x0101255 fx0f5555355552555375267750 3rd iteration Here f49450 Now Root lies between x04    See Answer
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