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Z+3i Let f (z) = and C: |z – 1| = 1. %3D (2z-1)(z+31) Which among the following is true about I J, f(z)dz? | = -2ni Res f(z)|=« O the above is true O None of these I = 2ni Res f(2)\, 1 = 2ni Res f (z)\z=-3i O the above is true O the above is true O I=0 by Cauchy-Gorsat theorem

Z+3i Let f (z) = and C: |z – 1| = 1. %3D (2z-1)(z+31) Which among the following is true about I J, f(z)dz? | = -2ni Res f(z)|=« O the above is true O None of these I = 2ni Res f(2)\, 1 = 2ni Res f (z)\z=-3i O the above is true O the above is true O I=0 by Cauchy-Gorsat theorem

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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z+3i Let f(z) = and C: |z – 1| = 1. (2z-1)(z+3i) Which among the following is true about I = -S. f(2)dz? I = -2ni Res f(z)lz= O the above is true O None of these 1 = 2ni Res f (z)[z=-3i | = 2ni Res f(Z) O the above is true O the above is true 1=0 by Cauchy-Gorsat theorem
Transcribed Image Text:z+3i Let f(z) = and C: |z – 1| = 1. (2z-1)(z+3i) Which among the following is true about I = -S. f(2)dz? I = -2ni Res f(z)lz= O the above is true O None of these 1 = 2ni Res f (z)[z=-3i | = 2ni Res f(Z) O the above is true O the above is true 1=0 by Cauchy-Gorsat theorem
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