Suppose you approximate sin x at the points x = -0.2, -0.1, 0.0, 0.1, and 0.2 using
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Suppose you approximate sin x at the points x = -0.2, -0.1, 0.0, 0.1, and 0.2 using the Taylor polynomials p3 = x - x3/6 and p5 = x - x3/6 + x5/120. Assume that the exact value of sin x is given by a calculator.
a. Complete the table showing the absolute errors in the approximations at each point. Show two significant digits.
b. In each error column, how do the errors vary with x? For what values of x are the errors the largest and smallest in magnitude?
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Related Book For
Calculus For Scientists And Engineers Early Transcendentals
ISBN: 9780321849212
1st Edition
Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran
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