Problem 23. Answer using Cauchy's Theorem. Given that C is a simple closed path, evaluate each of the following integrals. It is necessary to consider several cases. THOUGH APPLICABLE, DO NOT APPLY THE RESIDUE THEOREM IN THIS EXERCISE. i) dz 22 + 4 ii) dz la z(22 – 1) iii) dz 2² +9

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.2: Matrix Algebra
Problem 21EQ: Prove the half of Theorem 3.3 (e) that was not proved in the text.
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Problem 23.
Answer using Cauchy's Theorem. Given that C is a simple closed path, evaluate each of the
following integrals. It is necessary to consider several cases. THOUGH APPLICABLE, DO
NOT APPLY THE RESIDUE THEOREM IN THIS EXERCISE.
i)
dz
22 +4
ii)
dz
z(z2 –
1)
iii)
e
dz
22 +9
C'
Transcribed Image Text:Problem 23. Answer using Cauchy's Theorem. Given that C is a simple closed path, evaluate each of the following integrals. It is necessary to consider several cases. THOUGH APPLICABLE, DO NOT APPLY THE RESIDUE THEOREM IN THIS EXERCISE. i) dz 22 +4 ii) dz z(z2 – 1) iii) e dz 22 +9 C'
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