Q6. (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 Sc dz, where C: |z| = 3. (z-1)(z-2)2
Q6. (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 Sc dz, where C: |z| = 3. (z-1)(z-2)2
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:Q6. (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 J.
dz, where C: |z| = 3.
(z-1)(z-2)2
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