Employ the Newton-Raphson method to determine a real root for f (x) = 2 + 6x

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Employ the Newton-Raphson method to determine a real root for f (x) = −2 + 6x − 4x2 + 0.5x3, using an initial guess of 

(a) 4.5,

(b) 4.43. Discuss and use graphical and analytical methods to explain any peculiarities in your results.

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