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Consider the function g(x) Vl+z-1. We are interested in computing g(0.001). (a) Compute g(0.001) using 5-digit arithmetic with chopping. Compute the relative error using double precision and present your result with 4 significant digits and rounding. Why was there a loss of precision? (b) How can you rewrite g in order to avoid the loss of precision found in (a)? Still using 5-digit arithmetic with chopping, compute g(0.001) with the new expression for g. Compute the relative error using double precision and present your result with 4 significant digits and rounding. c) The second order Taylor polynomial of g about x0-0 is given by P2(x)-x- . Then P2 (0.001) is an approximation of g(0.001). Compute P2(0.001) using 5-digit arithmetic with chopping Compute the relative error using double precision and present your result with 4 significant digits and rounding

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