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Evaluate each of the following contour integrals: (1) fc sin z 22+77² dz; |z - 2i = 2

Evaluate each of the following contour integrals: (1) fc sin z 22+77² dz; |z - 2i = 2

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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• Attempt all the problems. . Provide fully detailed responses. Evaluate each of the following contour integrals: sin z (1) fc dz; |z - 2i = 2 (2) fc 23 2z+5 (3) fc ₂2-22 (4) fc 2²+7² (a) |z| = 2² (b) |z + 1 = 2, (c) |z3|= 2, (d) |z+ 2i = 1 -² sin z (5) fc -dz; |z1|= 3 2 (6) fc (a) |z| = 2² (b) |z + 1 = 1, 1 (c) |z − 1|= 2¹ (d) |z| = 4 (z − 1)(z-2) 2+2 z²(z-1-i) (a) |z| = 1, (b) |z-1-i = 1 1 2³ (z - 4) (a) |z| = 1, (b) |z2| = 1 -dz; -dz; -dz; 1 3 (7) fc 2² (2² + 1) dz;|z − i = 232
Transcribed Image Text:• Attempt all the problems. . Provide fully detailed responses. Evaluate each of the following contour integrals: sin z (1) fc dz; |z - 2i = 2 (2) fc 23 2z+5 (3) fc ₂2-22 (4) fc 2²+7² (a) |z| = 2² (b) |z + 1 = 2, (c) |z3|= 2, (d) |z+ 2i = 1 -² sin z (5) fc -dz; |z1|= 3 2 (6) fc (a) |z| = 2² (b) |z + 1 = 1, 1 (c) |z − 1|= 2¹ (d) |z| = 4 (z − 1)(z-2) 2+2 z²(z-1-i) (a) |z| = 1, (b) |z-1-i = 1 1 2³ (z - 4) (a) |z| = 1, (b) |z2| = 1 -dz; -dz; -dz; 1 3 (7) fc 2² (2² + 1) dz;|z − i = 232
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