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Get Full Access to Numerical Analysis - 10 Edition - Chapter 1.2 - Problem 25
Get Full Access to Numerical Analysis - 10 Edition - Chapter 1.2 - Problem 25

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# Solved: a. Show that the polynomial nesting technique described in Example 6 can also be ISBN: 9781305253667 457

## Solution for problem 25 Chapter 1.2

Numerical Analysis | 10th Edition

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Problem 25

a. Show that the polynomial nesting technique described in Example 6 can also be applied to the evaluation of fix) = l.Ole4 * - 4.62e3 * - 3.11^ + 12.2^ - 1.99. b. Use three-digit rounding arithmetic, the assumption that e 153 = 4.62, and the fact that e nx = (ex )" to evaluate /(1.53) as given in part (a). c. Redo the calculation in part (b) by first nesting the calculations. d. Compare the approximations in parts (b) and (c) to the true three-digit result /(1.53) = 7.61.

Step-by-Step Solution:
Step 1 of 3

L30 - 3 Antidiﬀerentiation Formulas Let F and G be antiderivatives of functions f and g. Function General antiderivative cf(x) f(x) ± g(x) x (n ▯= −1) 1 x ex sinx cosx sec x secxtanx csc (x) cscxcotx 1 √ 1 − x2 1 1+ x 2

Step 2 of 3

Step 3 of 3

##### ISBN: 9781305253667

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