4. Find / sketch the images of the following regions under the exponential map z → e². (d) the strip {z EC: -1 < Re(z) < 1}. (e) the rectangle {z EC: 0 < Re(z) < 1, 0< Im(z) < π/2}; (f) the region {z e C: z 0, 0< Arg(z) < π/4}.
4. Find / sketch the images of the following regions under the exponential map z → e². (d) the strip {z EC: -1 < Re(z) < 1}. (e) the rectangle {z EC: 0 < Re(z) < 1, 0< Im(z) < π/2}; (f) the region {z e C: z 0, 0< Arg(z) < π/4}.
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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q4b
![4.
Find sketch the images of the following regions under the exponential map ze².
(d) the strip {z EC: -1 < Re(z) < 1}.
(e) the rectangle {z EC: 0 < Re(z) <1, 0< Im(z) </2};
(f) the region {z e C: z0, 0 < Arg(z) </4}.
[Hint: consider (c).]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F490cbcd2-ad81-426b-824f-903aced284ba%2F91e2fae5-2ed8-4d7d-b209-80e480d7ca8b%2Ftsyjht_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.
Find sketch the images of the following regions under the exponential map ze².
(d) the strip {z EC: -1 < Re(z) < 1}.
(e) the rectangle {z EC: 0 < Re(z) <1, 0< Im(z) </2};
(f) the region {z e C: z0, 0 < Arg(z) </4}.
[Hint: consider (c).]
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