(b). Using your diagram, or otherwise, explain carefully why 4 ≤ 2² ≤ 89 for all z on C. S

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Chapter2: Second-order Linear Odes
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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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