Use Cauchy's residue theorem to evaluate the integral along the indicated contour. State the poles and the order of each. z-3 1 ‚C:|z| = 2 Cz (z - 9) 2 2 Z-3 z² (z² - 9)' 1 C:|z| = 2

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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Use Cauchy's residue theorem to evaluate
the integral along the indicated contour.
State the poles and the order of each.
z-3
1
‚C:|z| =
2
Cz
(z
-
9)
2 2
Z-3
z² (z² - 9)'
1
C:|z|
=
2
Transcribed Image Text:Use Cauchy's residue theorem to evaluate the integral along the indicated contour. State the poles and the order of each. z-3 1 ‚C:|z| = 2 Cz (z - 9) 2 2 Z-3 z² (z² - 9)' 1 C:|z| = 2
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