EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 4, Problem 19P

To calculate a planet's space coordinates, we have to solve the Function

f ( x ) = x 1 0.5 sin   x

Let the base point be a = x i = π / 2 on the interval [ 0 , π ] . Determine the highest-order Taylor series expansion resulting in a maximum error of 0.015 on the specified interval. The error is equal to the absolute value of the difference between the given function and the specific Taylor series expansion. (Hint: Solve graphically.)

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