(b) Given f(2) = z? – 3ixy. (i) Determine whether f (z) is an analytic function or not. (ii) Evaluate the line integral of f(z) from z = 1 to z = i along the curves a and B, where a follows the axes and passes through the origin, while ß is an anticlockwise arc of a unit circle centred at the origin (see Figure 1 below). 1 1 Figure 1 Curves a and B.
(b) Given f(2) = z? – 3ixy. (i) Determine whether f (z) is an analytic function or not. (ii) Evaluate the line integral of f(z) from z = 1 to z = i along the curves a and B, where a follows the axes and passes through the origin, while ß is an anticlockwise arc of a unit circle centred at the origin (see Figure 1 below). 1 1 Figure 1 Curves a and B.
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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please help me out. details are very much appreciated
![(b)
Given
f(2) = z? – 3ixy.
(i) Determine whether f (z) is an analytic function or not.
(ii) Evaluate the line integral of f(z) from z = 1 to z = i along the
curves a and B, where a follows the axes and passes through
the origin, while ß is an anticlockwise arc of a unit circle centred
at the origin (see Figure 1 below).
1
1
Figure 1 Curves a and B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb665f96-8ef0-4ccd-80eb-2aa2625dc822%2Fb6b46108-1803-4c23-876e-be88cf8a4a6d%2Fewec0yi_processed.png&w=3840&q=75)
Transcribed Image Text:(b)
Given
f(2) = z? – 3ixy.
(i) Determine whether f (z) is an analytic function or not.
(ii) Evaluate the line integral of f(z) from z = 1 to z = i along the
curves a and B, where a follows the axes and passes through
the origin, while ß is an anticlockwise arc of a unit circle centred
at the origin (see Figure 1 below).
1
1
Figure 1 Curves a and B.
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