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Let f (z) = 4. Let C1 be the circle |2| = 2 in the counter-clockwise direction, C2 the circle z – 3 = 2 in the counter-clockwise direction, and finally C3 the square with vertices (7,7), (–7, 7) , (-7, –7) and (7, –7) in the counter-clockwise direction. Part (a) 1 What is 2ni | f (2) dz? Part (b) 1 What is 2ni L f (2) dz? Part (c) What is 2Ti L f (2) dz?

Let f (z) = 4. Let C1 be the circle |2| = 2 in the counter-clockwise direction, C2 the circle z – 3 = 2 in the counter-clockwise direction, and finally C3 the square with vertices (7,7), (–7, 7) , (-7, –7) and (7, –7) in the counter-clockwise direction. Part (a) 1 What is 2ni | f (2) dz? Part (b) 1 What is 2ni L f (2) dz? Part (c) What is 2Ti L 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) = 4. Let C1 be the circle |2| = 2 in the counter-clockwise direction, C2 the circle |z – 3 = 2 in the counter-clockwise direction, and finally C3 the square with vertices (7,7), (–7, 7) , (-7, –7) and (7, –7) in the counter-clockwise direction. Part (a) 1 What is 2ni | f (2) dz? Part (b) 1 What is 2ni L f (2) dz? Part (c) What is 2Ti L f (2) dz?
Transcribed Image Text:Let f (z) = 4. Let C1 be the circle |2| = 2 in the counter-clockwise direction, C2 the circle |z – 3 = 2 in the counter-clockwise direction, and finally C3 the square with vertices (7,7), (–7, 7) , (-7, –7) and (7, –7) in the counter-clockwise direction. Part (a) 1 What is 2ni | f (2) dz? Part (b) 1 What is 2ni L f (2) dz? Part (c) What is 2Ti L f (2) dz?
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