EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 23, Problem 6P

Employ Eq. (23.9) to determine the first derivative of y = 2 x 4 6 x 3 12 x 8 at x = 0 based on values at x 0 = 0.5 , x 1 = 1 , and x 2 = 2 . Compare this result with the true value and with an estimate obtained using a centered difference approximation based on h = 1 .

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Let / xcos(x) dx. The approximation of / using the two-point Gaussian quadrature formula is: 2.56125 0.14661 -379.538 0.45327 Find the actual error when the first dervative of f(x) = in x at x = 2 is approxamated by the following 3-pount formula F+h) - 2F()-3f(x-h) wth h-0.5 0.0431
Calculate the value of the first order derivative at the point x=0.2 with a single finite difference formula using all the following values. 0.1 0.2 0.3 0.4 f(x) 0.000 000 0.078 348 0.138 910 0.192 916 0.244981
4. Given the following data : T(k') 600 700 800 900 (Cp/R) 3.671 3.755 3.838 3.917 Where "T" is the absolute temperature and (C,/R) is the dimensionless specific heat of air. Use Newton's forward interpolation method to find the specific heat at T = 670 k°. %3D

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EBK NUMERICAL METHODS FOR ENGINEERS

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