Let f (z) = 222 Let C1, C2 and C3 be the circles |z| = 5|z| = and |z| = 9espectively in the counter-clockwise direction. Hint: Use partial fraction. (z–6)(z–8) Part (a) 1 What is 2ri f (z) dz? Part (b) 1 What is 2ni f (z) dz? Part (c) 1 What is 2i 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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Question
222
Let f (z)
Let C1, C2 and C3 be the circles |z| = 5|2| = Tand |2| = 9espectively in the counter-clockwise direction. Hint: Use partial fraction.
(z-6)(z-8)
Part (a)
1
What is
2πί
f(2) dz?
C1
Part (b)
1
What is
2ni
iL (2) dz?
C2
Part (c)
1
What is
2ni
| $(2) dz?
C3
Transcribed Image Text:222 Let f (z) Let C1, C2 and C3 be the circles |z| = 5|2| = Tand |2| = 9espectively in the counter-clockwise direction. Hint: Use partial fraction. (z-6)(z-8) Part (a) 1 What is 2πί f(2) dz? C1 Part (b) 1 What is 2ni iL (2) dz? C2 Part (c) 1 What is 2ni | $(2) dz? C3
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