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Solve your problem for the price of one coffee
Simplify each term.
Simplify by adding and subtracting.
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a) Use base b = 10, precision k = 4, idealized, chopping floating-point arithmetic to show that fl(g(1.015)) is inaccurate, where g(x)=x14−1x−1 b) Derive the second order (n = 2) quadratic Taylor polynomial approximation for f(x)=x14 expanded about a = 1, and use it to get an accurate approximation to g(x) in part (a). c) Verify that your approximation in (b) is more accurate.
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