EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 18, Problem 17P

Develop, debug, and test a program in either a high-level language or macro language of your choice to implement Newton's interpolating polynomial based on Fig. 18.7.

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18.10. Let f be analytic inside and on the unit circle 7. Show that, for 0<|z|< 1, f(E) f(E) 2πif(z) = --- d.
18.4. Let f be analytic within and on a positively oriented closed contoury, and the point zo is not on y. Show that L f(z) (-20)2 dz = '(2) dz. 2-20
18.9. Let denote the boundary of the rectangle whose vertices are -2-2i, 2-21,2+i and -2+i in the positive direction. Evaluate each of the following integrals: (a). rdz, (b). dz (b). COS 2 coz dz, (z+1) (d). 之一 z 2 +2 dz, (e). dz (c). (2z + 1)2dz, (2z+1) 1 (f). £, · [e² sin = + (2² + 3)²] dz. z (22+3)2

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EBK NUMERICAL METHODS FOR ENGINEERS

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Interpolation | Lecture 43 | Numerical Methods for Engineers; Author: Jffrey Chasnov;https://www.youtube.com/watch?v=RpxoN9-i7Jc;License: Standard YouTube License, CC-BY