(a) i. Determine the bilinear transformation that maps the points 1 - 2i, 2 + i ,2 + 3i respectively into 2 + 2i, 1 + 3i, 4. -1-i ii. Evaluate fi 4z dz.
(a) i. Determine the bilinear transformation that maps the points 1 - 2i, 2 + i ,2 + 3i respectively into 2 + 2i, 1 + 3i, 4. -1-i ii. Evaluate fi 4z 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:(a) i. Determine the bilinear transformation that maps the points 1 – 2i, 2 + i
,2 + 3i respectively into 2 + 2i,1+ 3i, 4.
1-i
ii. Evaluate f 4z dz .
3i
ez
(b) Evaluate Jc (z-1)(z-2)²
dz, where C: |z| = 3.
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