Answer: a. Show that the polynomial nesting technique described in Example 6 can also be
Chapter 1, Problem 21(choose chapter or problem)
a. Show that the polynomial nesting technique described in Example 6 can also be applied to the evaluation of f (x) = 1.01e4x 4.62e3x 3.11e2x + 12.2ex 1.99. b. Use three-digit rounding arithmetic, the assumption that e1.53 = 4.62, and the fact that enx = (ex ) n to evaluate f (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 f (1.53) = 7.61.
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