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Evaluate the following contour integrals along the given path: (a) Sdz where C is an arc of circle z = 4e" on the right-half plane.

Evaluate the following contour integrals along the given path: (a) Sdz where C is an arc of circle z = 4e" on the right-half plane.

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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Evaluate the following contour integrals along the given path: (a) Sdz where C is an arc of circle z = 4e" on the right-half plane. (b) S 2zdz where C is an arc of circle z = 2t³ + i(t4 – 4t³ + 2) – 1<t<1. (c) S Re(2)dz along the directed line segment form z = 0 to z = 1+2i. (d) S(x- 2xyi)dz over the contour C : z =t+it?, 0 <t< 1, where r = Re(2), y = Im(2). C (e) S(2z + 1)dz along two simple line segments, from z = -i to z = 0 and from z = 0 to z = 1+i.
Transcribed Image Text:Evaluate the following contour integrals along the given path: (a) Sdz where C is an arc of circle z = 4e" on the right-half plane. (b) S 2zdz where C is an arc of circle z = 2t³ + i(t4 – 4t³ + 2) – 1<t<1. (c) S Re(2)dz along the directed line segment form z = 0 to z = 1+2i. (d) S(x- 2xyi)dz over the contour C : z =t+it?, 0 <t< 1, where r = Re(2), y = Im(2). C (e) S(2z + 1)dz along two simple line segments, from z = -i to z = 0 and from z = 0 to z = 1+i.
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