Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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1.4. Run Program 1 to N
=
216 instead of 212. What happens to the plot of
error vs. N? Why? Use the MATLAB commands tic and toc to generate a plot of
approximately how the computation time depends on N. Is the dependence linear,
quadratic, or cubic?
Show that the function f(x) = sin(x)/x has a removable singularity. What are the left and right handed limits?
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).
之一
dz, (b).
dz, (b).
COS 2
coz dz,
dz
(z+1)
(d).
z 2 +2
dz, (e).
(c). (2z+1)zdz,
z+
1
(f). £,
· [e² sin = + (2² + 3)²] dz.
(2+3)2
Chapter 20 Solutions
Advanced Engineering Mathematics
Ch. 20.1 - Prob. 1PCh. 20.1 - Prob. 2PCh. 20.1 - Prob. 3PCh. 20.1 - Prob. 4PCh. 20.1 - Prob. 5PCh. 20.1 - Prob. 6PCh. 20.1 - Prob. 7PCh. 20.1 - Prob. 8PCh. 20.1 - Prob. 9PCh. 20.1 - Prob. 10P
Ch. 20.1 - Prob. 11PCh. 20.1 - Prob. 12PCh. 20.1 - Prob. 13PCh. 20.1 - Prob. 14PCh. 20.1 - Prob. 15PCh. 20.1 - Prob. 16PCh. 20.2 - Prob. 1PCh. 20.2 - Prob. 2PCh. 20.2 - Prob. 3PCh. 20.2 - Prob. 4PCh. 20.2 - Prob. 5PCh. 20.2 - Prob. 7PCh. 20.2 - Prob. 8PCh. 20.2 - Prob. 9PCh. 20.2 - Prob. 10PCh. 20.2 - Prob. 11PCh. 20.2 - Prob. 12PCh. 20.2 - Prob. 13PCh. 20.2 - Prob. 15PCh. 20.2 - Prob. 16PCh. 20.2 - Prob. 17PCh. 20.2 - Prob. 18PCh. 20.2 - Prob. 19PCh. 20.2 - Prob. 20PCh. 20.3 - Prob. 1PCh. 20.3 - Prob. 2PCh. 20.3 - Prob. 3PCh. 20.3 - Prob. 4PCh. 20.3 - Prob. 5PCh. 20.3 - Prob. 6PCh. 20.3 - Prob. 7PCh. 20.3 - Prob. 8PCh. 20.3 - Prob. 9PCh. 20.3 - Prob. 10PCh. 20.3 - Prob. 11PCh. 20.3 - Prob. 12PCh. 20.3 - Prob. 14PCh. 20.3 - Prob. 15PCh. 20.3 - Prob. 16PCh. 20.3 - Prob. 17PCh. 20.3 - Prob. 18PCh. 20.3 - Prob. 19PCh. 20.3 - Prob. 20PCh. 20.4 - Prob. 1PCh. 20.4 - Prob. 2PCh. 20.4 - Prob. 3PCh. 20.4 - Prob. 4PCh. 20.4 - Prob. 5PCh. 20.4 - Prob. 6PCh. 20.4 - Prob. 7PCh. 20.4 - Prob. 8PCh. 20.4 - Prob. 9PCh. 20.4 - Prob. 10PCh. 20.4 - Prob. 11PCh. 20.4 - Prob. 12PCh. 20.4 - Prob. 13PCh. 20.4 - Prob. 14PCh. 20.4 - Prob. 15PCh. 20.4 - Prob. 16PCh. 20.4 - Prob. 17PCh. 20.4 - Prob. 18PCh. 20.4 - Prob. 19PCh. 20.4 - Prob. 20PCh. 20.4 - Prob. 21PCh. 20.4 - Prob. 22PCh. 20.5 - Prob. 1PCh. 20.5 - Prob. 2PCh. 20.5 - Prob. 3PCh. 20.5 - Prob. 4PCh. 20.5 - Prob. 5PCh. 20.5 - Prob. 6PCh. 20.5 - Prob. 7PCh. 20.5 - Prob. 8PCh. 20.5 - Prob. 9PCh. 20.5 - Prob. 10PCh. 20.5 - Prob. 11PCh. 20.5 - Prob. 12PCh. 20.5 - Prob. 13PCh. 20.7 - Prob. 1PCh. 20.7 - Prob. 2PCh. 20.7 - Prob. 3PCh. 20.7 - Prob. 4PCh. 20.7 - Prob. 5PCh. 20.7 - Prob. 6PCh. 20.7 - Prob. 7PCh. 20.7 - Prob. 8PCh. 20.7 - Prob. 9PCh. 20.7 - Prob. 10PCh. 20.7 - Prob. 11PCh. 20.7 - Prob. 12PCh. 20.7 - Prob. 13PCh. 20.7 - Prob. 14PCh. 20.7 - Prob. 15PCh. 20.7 - Prob. 16PCh. 20.7 - Prob. 17PCh. 20.7 - Prob. 18PCh. 20.7 - Prob. 19PCh. 20.7 - Prob. 20PCh. 20.8 - Prob. 1PCh. 20.8 - Prob. 2PCh. 20.8 - Prob. 3PCh. 20.8 - Prob. 4PCh. 20.8 - Prob. 5PCh. 20.8 - Prob. 6PCh. 20.8 - Prob. 7PCh. 20.8 - Prob. 8PCh. 20.8 - Prob. 9PCh. 20.8 - Prob. 10PCh. 20.8 - Prob. 11PCh. 20.9 - Prob. 1PCh. 20.9 - Prob. 2PCh. 20.9 - Prob. 3PCh. 20.9 - Prob. 4PCh. 20.9 - Prob. 5PCh. 20.9 - Prob. 6PCh. 20.9 - Prob. 7PCh. 20.9 - Prob. 8PCh. 20 - Prob. 1RQCh. 20 - Prob. 2RQCh. 20 - Prob. 3RQCh. 20 - Prob. 4RQCh. 20 - Prob. 5RQCh. 20 - Prob. 6RQCh. 20 - Prob. 7RQCh. 20 - Prob. 8RQCh. 20 - Prob. 9RQCh. 20 - Prob. 10RQCh. 20 - Prob. 11RQCh. 20 - Prob. 12RQCh. 20 - Prob. 13RQCh. 20 - Prob. 14RQCh. 20 - Prob. 15RQCh. 20 - Prob. 16RQCh. 20 - Prob. 17RQCh. 20 - Prob. 18RQCh. 20 - Prob. 19RQCh. 20 - Prob. 20RQCh. 20 - Prob. 21RQCh. 20 - Prob. 22RQCh. 20 - Prob. 23RQCh. 20 - Prob. 24RQCh. 20 - Prob. 25RQCh. 20 - Prob. 26RQCh. 20 - Prob. 27RQCh. 20 - Prob. 28RQCh. 20 - Prob. 29RQCh. 20 - Prob. 30RQCh. 20 - Prob. 31RQCh. 20 - Prob. 32RQCh. 20 - Prob. 33RQCh. 20 - Prob. 34RQCh. 20 - Prob. 35RQCh. 20 - Prob. 36RQCh. 20 - Prob. 37RQCh. 20 - Prob. 38RQCh. 20 - Prob. 39RQCh. 20 - Prob. 40RQ
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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.arrow_forward18.4. 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. 2-20arrow_forward18.9. 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)2arrow_forward
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