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.

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.

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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