Problem 2 Let f (z) = Let C1 be the circle |2| = 10n the counter-clockwise direction, C2 the circle |z – 11| = 10 in the counter-clockwise direction, and finally C3 the square with vertices (2, 2),(-2,2),(-2, –2) and (2, –2)in the counter-clockwise direction. Part (a) 1 What is f (z) dž Part (b) 1 What is 2ni f (z) d? C2 Part (c) 1 What is f (z) d?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 2
Let f (z) = Let C1 be the circle |2| = 10n the counter-clockwise direction, C2 the circle |z – 11| = 10 in the counter-clockwise direction, and finally
C3 the square with vertices (2, 2),(-2,2),(-2, –2) and (2, –2)in the counter-clockwise direction.
Part (a)
1
What is
f (z) dž
Part (b)
1
What is
2ni
f (z) d?
C2
Part (c)
1
What is
f (z) d?
Transcribed Image Text:Problem 2 Let f (z) = Let C1 be the circle |2| = 10n the counter-clockwise direction, C2 the circle |z – 11| = 10 in the counter-clockwise direction, and finally C3 the square with vertices (2, 2),(-2,2),(-2, –2) and (2, –2)in the counter-clockwise direction. Part (a) 1 What is f (z) dž Part (b) 1 What is 2ni f (z) d? C2 Part (c) 1 What is f (z) d?
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