Let f (z) = 3. Let C¡ be the circle |z| the square with vertices (4, 4) , (–4,4) , (–4, –4) and (4, –4)in the counter-clockwise direction. = 6n the counter-clockwise direction, C, the circle |z – 7| = 6 in the counter-clockwise direction, and finally C3 Part (a) 1 What is 2ni L f(2)dz? Part (b) 1 What is 2ri f(2) dz? Part (c) 1 What is 2ni f(2) dz?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f (z) = 2. Let C, be the circle |2| = 6n the counter-clockwise direction, C2 the circle |z – 7| = 6 in the counter-clockwise direction, and finally C3
the square with vertices (4, 4), (-4, 4) , (–4, –4) and (4, -4)in the counter-clockwise direction.
Part (a)
1
What is
2ni
f(2) dz?
Part (b)
1
What is
2πί
il f(2) dz?
C2
Part (c)
1
What is
2πί
i f(2) dz?
C3
Transcribed Image Text:Let f (z) = 2. Let C, be the circle |2| = 6n the counter-clockwise direction, C2 the circle |z – 7| = 6 in the counter-clockwise direction, and finally C3 the square with vertices (4, 4), (-4, 4) , (–4, –4) and (4, -4)in the counter-clockwise direction. Part (a) 1 What is 2ni f(2) dz? Part (b) 1 What is 2πί il f(2) dz? C2 Part (c) 1 What is 2πί i f(2) dz? C3
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