Plz don't use chat gpt • Attempt all the problems.. Provide fully detailed responses.Evaluate each of the following contour integrals:sin z(1) fcdz; |z - 2i = 2(2) fc232z+5(3) fc ₂2-22(4) fc2²+7²(a) |z| = 2²(b) |z + 1 = 2,(c) |z3|= 2,(d) |z+ 2i = 1-² sin z(5) fc-dz; |z1|= 32(6) fc(a) |z| = 2²(b) |z + 1 = 1,1(c) |z − 1|= 2¹(d) |z| = 4(z − 1)(z-2)2+2z²(z-1-i)(a) |z| = 1,(b) |z-1-i = 112³ (z - 4)(a) |z| = 1,(b) |z2| = 1-dz;-dz;-dz;13(7) fc 2² (2² + 1) dz;|z − i = 232

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Math

Advanced Math

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

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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Question

Plz don't use chat gpt

• 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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