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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 -1 f(2) = ÷(1 + 3z + 3z² + z®)(1 – 2)-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 -1 f(2) = ÷(1 + 3z + 3z² + z®)(1 – 2)-1 (1–)* at z=0. %3D

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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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
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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