7. (a) Use Cauchy's Formula to show that 1 Sz-11=1z²²-1 dz = πi, 1 Sz+1=1 z²-1 dz = =πί (b) Using the results in (a), show that √|z|=3221 dz = -
7. (a) Use Cauchy's Formula to show that 1 Sz-11=1z²²-1 dz = πi, 1 Sz+1=1 z²-1 dz = =πί (b) Using the results in (a), show that √|z|=3221 dz = -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q7. (a) Use Cauchy's Formula to show that
√|z−1|=12²²₁₁dz = πi,
-
1
=πί
[dz = πi, √ √2z+1=122²₁₁ dz = −πi
1
-
(b) Using the results in (a), show that √|z|=3 22² 1 dz =
z²-1
0
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