Consider the following equation: 2 + cos(e* – 2) – ex = 0. A numerical algorithm produced the following approximation of a root r of this equation X, 1.00767372. How much is the backward error (give the answer with one significant digit) ? Estimate the multiplicity of the root the algorithm is trying to approximate : Estimate the absolute error |r – x,| of x, to one significant digit : How many correct significant digits contains x, ?

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