) 27. 28. h9. 30. I sec sec² z dz, any path from 7/4 to Ti/4 5 1 (2-³ clockwise - 2i 1 6 (z-21)2 dz, C the circle [z - 2i| = 4, Į Im z² dz counterclockwise around the triangle with vertices 0, 1, i I Re z2 dz clockwise around the boundary of the square C with vertices 0, i, 1 + i, 1 31. CAS PROJECT. Integration. Write programs for the two integration methods. Apply them to problems of your choice. Could you make them into a joint program that als 30/08/2023 19:49

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
27.
28.
[sec² z dz, any path from 77/4 to 7i/4
C
5
1 (2-³
'С
clockwise
z) dz.
6
z - 2i (z-2i)²
dz, C the circle |z - 2il = 4,
29. Im 2² dz counterclockwise around the triangle with
C
vertices 0, 1, i
30. Re 2² dz clockwise around the boundary of the square
z2
C
with vertices 0, i, 1+ i, 1
31. CAS PROJECT. Integration. Write programs for the
two integration methods. Apply them to problems of
your choice. Could you make them into a joint program
that also decides which of the two methods to use in a
30/08/2023 19:49
Transcribed Image Text:27. 28. [sec² z dz, any path from 77/4 to 7i/4 C 5 1 (2-³ 'С clockwise z) dz. 6 z - 2i (z-2i)² dz, C the circle |z - 2il = 4, 29. Im 2² dz counterclockwise around the triangle with C vertices 0, 1, i 30. Re 2² dz clockwise around the boundary of the square z2 C with vertices 0, i, 1+ i, 1 31. CAS PROJECT. Integration. Write programs for the two integration methods. Apply them to problems of your choice. Could you make them into a joint program that also decides which of the two methods to use in a 30/08/2023 19:49
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