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7. Evaluate the contour integral fc (²+1)(2-1)dz along the following contours (a) C |zi| = 1, counter-clockwise; (b) C = C₁ U C2, C₁ |zi|=1,counter-clockwise; C₂=2+ i=1,clockwise; (c) C = C₁UC₂, C₁: 2 - 1] = 1, counter-clockwise; C₂: |2 + 1 = 1, clockwise.

7. Evaluate the contour integral fc (²+1)(2-1)dz along the following contours (a) C |zi| = 1, counter-clockwise; (b) C = C₁ U C2, C₁ |zi|=1,counter-clockwise; C₂=2+ i=1,clockwise; (c) C = C₁UC₂, C₁: 2 - 1] = 1, counter-clockwise; C₂: |2 + 1 = 1, clockwise.

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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parts 'a' to 'c'. thank you!

7. Evaluate the contour integral fc (2²+1)(z-1dz along the following contours (a) C |zi| = 1, counter-clockwise; (b) C = C₁ U C₂, C₁ |zi| = 1,counter-clockwise; - C₂ |zi| 1,clockwise; (c) C = C₁UC₂, C₁ |z1|= 1, counter-clockwise; C₂ : 2 + 1 = 1, = : clockwise. =
Transcribed Image Text:7. Evaluate the contour integral fc (2²+1)(z-1dz along the following contours (a) C |zi| = 1, counter-clockwise; (b) C = C₁ U C₂, C₁ |zi| = 1,counter-clockwise; - C₂ |zi| 1,clockwise; (c) C = C₁UC₂, C₁ |z1|= 1, counter-clockwise; C₂ : 2 + 1 = 1, = : clockwise. =
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