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4. Find sketch the images of the following regions under the exponential map z → e². (a) the line {a+ni/4: x = R}; I

4. Find sketch the images of the following regions under the exponential map z → e². (a) the line {a+ni/4: x = R}; I

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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4. Find / sketch the images of the following regions under the exponential map z → e². (a) the line {r+ni/4: x € R}; (b) the line {/4 + yi: y = R}; (c) the line {(1+i)t: x = R};
Transcribed Image Text:4. Find / sketch the images of the following regions under the exponential map z → e². (a) the line {r+ni/4: x € R}; (b) the line {/4 + yi: y = R}; (c) the line {(1+i)t: x = R};
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