7.46. Evaluate 2z² +5 (z+2)³(z²+4)2² C 2+2i, 1+2i. dz where C is (a) |z-2i = 6, (b) the square with vertices at 1+1, 2+1,

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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+5
{ (z+ 2)²³(2²+4)2²² dz where C is (a) |z-2i = 6, (b) the square with vertices at 1+1, 2+1,
C
2+2i, 1+2i.
7.46. Evaluate
7.47. Evaluate
7.48. Evaluate
2+3 sin 72
z(z − 1)²
1
e
dz where C is a square having vertices at 3 + 3i, 3-3i, -3+3i, -3-3i.
2miz(z²+1)
dz, t> 0 around the square with vertices at 2+2i, -2+2i, -2- 2i, 2 - 2i.
Transcribed Image Text:+5 { (z+ 2)²³(2²+4)2²² dz where C is (a) |z-2i = 6, (b) the square with vertices at 1+1, 2+1, C 2+2i, 1+2i. 7.46. Evaluate 7.47. Evaluate 7.48. Evaluate 2+3 sin 72 z(z − 1)² 1 e dz where C is a square having vertices at 3 + 3i, 3-3i, -3+3i, -3-3i. 2miz(z²+1) dz, t> 0 around the square with vertices at 2+2i, -2+2i, -2- 2i, 2 - 2i.
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