a) For the function f (x) = x – exp(−x2), do a calculation by hand using...

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a) For the function f (x) = x – exp(−x2), do a calculation byhand using a calculator to find the root to an accuracy of 0.1. Atmost, five iterations (or fewer) are needed to obtain the desiredaccuracy.

b) For f (x) = x2 – sin x, x0 = 1⁄2, do three iterations ofNewton’s method (by hand); tabulate the result.

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