(a)SoC122 - 5z + 6√₁₂²-152Use Cauchy's Residue Theorem to evaluate the integrals2² - 5z +6dz, where C is the positively oriented circle |z| = 4.(b)e³z(b) √ 142 dz, where C is the positively oriented circle |z| = 2.1+z²dz, where C is the positively oriented circle |z| = 5/2.

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Answered: 1 2²-5z +6 (a) So ₂². 1 2² - 5z +6 (b)…

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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1 2²-5z +6 (a) So ₂². 1 2² - 5z +6 (b) Laz e³z 1+z² (b) √ 1 th Use Cauchy's Residue Theorem to evaluate the integrals dz, where C is the positively oriented circle |z| = 4. dz, where C is the positively oriented circle |z| = 5/2. dz, where C' is the positively oriented circle |z| = 2.