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Suppose that iz2 7 - / 512² +2¹ dz. where is the rectangle with vertices at 5 +8 i and 2 + 8 i and 2 - 8 and 5 - 8 i. (a) Draw a neat and accurate diagram depicting the contour C.

Suppose that iz2 7 - / 512² +2¹ dz. where is the rectangle with vertices at 5 +8 i and 2 + 8 i and 2 - 8 and 5 - 8 i. (a) Draw a neat and accurate diagram depicting the contour C.

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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Suppose that -512² +24 22-2 7 dz, where C is the rectangle with vertices at 5 +8 i and 2 + 8 i and 28 i and 5-8 i. (a) Draw a neat and accurate diagram depicting the contour C. (b). Using your diagram, or otherwise, explain carefully why 4 <2²<89 for all z on C. (c) Giving details of your reasons, prove that I < 158954.
Transcribed Image Text:Suppose that -512² +24 22-2 7 dz, where C is the rectangle with vertices at 5 +8 i and 2 + 8 i and 28 i and 5-8 i. (a) Draw a neat and accurate diagram depicting the contour C. (b). Using your diagram, or otherwise, explain carefully why 4 <2²<89 for all z on C. (c) Giving details of your reasons, prove that I < 158954.
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