b) (b) Using the Residue Theorem, or otherwise, computeSez dz,z-7z²+z-2where C is the positively oriented circle of radius 4 centered at z = 0. State all thetheorems that you are using and justify all of your steps.

We shall first split the integral into partial fractions and then use Cauchys integral formula

Answered: (b) Using the Residue Theorem, or…

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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(b) Using the Residue Theorem, or otherwise, compute Sezz z-7 -22²-22-2 dz, where C is the positively oriented circle of radius 4 centered at z = 0. State all the theorems that you are using and justify all of your steps.