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Let f (z) = 10. Let Ci be the circle |z| = 10 in the counter-clockwise direction, C2 the circle |z – counter-clockwise direction, and finally C3 the square with vertices (1,1), (-1,1), (-1,-1) and (1, -1) in the counter- 11| = 10 in the clockwise direction. Part (a) 1 What is 2ni f(2) dz? Part (b) 1 What is 2ri f(2) dz? Part (c) 1 What is 2ri f(2) dz?

Let f (z) = 10. Let Ci be the circle |z| = 10 in the counter-clockwise direction, C2 the circle |z – counter-clockwise direction, and finally C3 the square with vertices (1,1), (-1,1), (-1,-1) and (1, -1) in the counter- 11| = 10 in the clockwise direction. Part (a) 1 What is 2ni f(2) dz? Part (b) 1 What is 2ri f(2) dz? Part (c) 1 What is 2ri f(2) dz?

Advanced Engineering Mathematics
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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Let f (z) = 10. Let Ci be the circle |2| = 10 in the counter-clockwise direction, C2 the circle |z – 11| = 10 in the counter-clockwise direction, and finally C3 the square with vertices (1,1), (-1,1), (-1,-1) and (1, -1) in the counter- clockwise direction. Part (a) 1 What is 2ni f(2) dz? Jc Part (b) 1 What is 2ni ilf(2) dz? Part (c) 1 What is 2ni f(2) dz?
Transcribed Image Text:Let f (z) = 10. Let Ci be the circle |2| = 10 in the counter-clockwise direction, C2 the circle |z – 11| = 10 in the counter-clockwise direction, and finally C3 the square with vertices (1,1), (-1,1), (-1,-1) and (1, -1) in the counter- clockwise direction. Part (a) 1 What is 2ni f(2) dz? Jc Part (b) 1 What is 2ni ilf(2) dz? Part (c) 1 What is 2ni f(2) dz?
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