The figure shows the graph of a function f . Suppose that Newtons method is used to

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The figure shows the graph of a function f . Suppose that Newton’s method is used to approximate the solution s of the equation f(x) = 0 with initial approximation x1 = 6.

(a) Draw the tangent lines that are used to find x2 and x3, and estimate the numerical values of x2 and x3.

(b) Would x1 = 8 be a better first approximation? Explain.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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