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

**Chapter 1, Problem 25**

(choose chapter or problem)

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.

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