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
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
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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With due respect, please do both of them.It would be very helpful for me. Thank you
Transcribed Image Text: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 + z³)(1 – z)-1 (1-) * at z=0.
%3D
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