With due respect, please do both of them.It would be very helpful for me. Thank you Find S. (12z+ z²) dz, where C is the boundary of the rectangle with vertices at thepoints 1 + 2i, – 1 + 2i, – 1 – 2i, 1 – 2i. Also find the residue of-f(2) = (1+3z + 3z² + z³)(1 – z)-1 (1-) * at z=0.%3D

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Answered: Find S. (12z+ z²) dz, where C is the…

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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Find S. (12z+ z²) dz, where C is the boundary of the rectangle with vertices at the points 1+2i, – 1 + 2i, – 1 – 2i, 1 – 2i. Also find the residue of f(2) = (1+ 3z + 3z² + z®)(1 – z)-1 (1–)* at z=0. %3D