please answer b Compute the integrals using a suitable method. Be sure to quote the appropriate theorems you are applying.(a)( Log(2)-dz,z+2where y is the circle {|z – 2| = 1} with counter clockwise orientation.(b)cos(2)dz,2² + 2iz – 1where y is the circle {|z+ i| = 1} with counter clockwise orientation.

Answered: Image /qna-images/answer/84cc3f74-c4bd-4485-aa95-32d8d7c6ef7c.jpg

Answered: where y is the circle {|z – 2| = 1}…

where y is the circle {|z – 2| = 1} with counter clockwise orientation. (b) cos(2) -dz, 22 + 2iz – 1 11 with counter cleclavice oriontetion whoro o ic tho circlo (Lr

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 45E

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Question

please answer b

Compute the integrals using a suitable method. Be sure to quote the appropriate theorems you are applying.
(a)
( Log(2)
-dz,
z+2
where y is the circle {|z – 2| = 1} with counter clockwise orientation.
(b)
cos(2)
dz,
2² + 2iz – 1
where y is the circle {|z+ i| = 1} with counter clockwise orientation.

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