Compute the following contour integral, e.g. by using Cauchy's integral formula, 0 ez z² + 9' in the following three cases: 1. C = { z Є C : |z — i| = 3}, (traversed once) positively oriented, 2. C={C: |zi| = 3}, (traversed once) negatively oriented, 3. C = {z Є C : |z + 4| = 1}, (traversed once) negatively oriented.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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Compute the following contour integral, e.g. by using Cauchy's integral formula,
0
ez
z² + 9'
in the following three cases:
1. C = { z Є C : |z — i| = 3}, (traversed once) positively oriented,
2. C={C: |zi| = 3}, (traversed once) negatively oriented,
3. C = {z Є C : |z + 4| = 1}, (traversed once) negatively oriented.
Transcribed Image Text:Compute the following contour integral, e.g. by using Cauchy's integral formula, 0 ez z² + 9' in the following three cases: 1. C = { z Є C : |z — i| = 3}, (traversed once) positively oriented, 2. C={C: |zi| = 3}, (traversed once) negatively oriented, 3. C = {z Є C : |z + 4| = 1}, (traversed once) negatively oriented.
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