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Evaluate the contour integral sin(z) z² +4 in the separate cases where I denotes the simple, closed, anticlockwise contour whose points lie on: 5572 i. the circle {z € C : |zi| = 2}, and ii. the circle {z E C : |z5| = 1}. dz For any Theorem(s) that you use to calculate these values, briefly explain why the hypotheses are satisfied.

Evaluate the contour integral sin(z) z² +4 in the separate cases where I denotes the simple, closed, anticlockwise contour whose points lie on: 5572 i. the circle {z € C : |zi| = 2}, and ii. the circle {z E C : |z5| = 1}. dz For any Theorem(s) that you use to calculate these values, briefly explain why the hypotheses are satisfied.

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 contour integral sin(z) z² +4 in the separate cases where I denotes the simple, closed, anticlockwise contour whose points lie on: S i. the circle {z € C : |z − i| = 2}, and ii. the circle {z E C : |z − 5| = 1}. dz For any Theorem(s) that you use to calculate these values, briefly explain why the hypotheses are satisfied.
Transcribed Image Text:Evaluate the contour integral sin(z) z² +4 in the separate cases where I denotes the simple, closed, anticlockwise contour whose points lie on: S i. the circle {z € C : |z − i| = 2}, and ii. the circle {z E C : |z − 5| = 1}. dz For any Theorem(s) that you use to calculate these values, briefly explain why the hypotheses are satisfied.
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