Sketch the effect of the complex transformation w = z5 = e?Log(2)/5 on vertical and horizontal straight lines in the z-plane. That is, plot on the w-plane the images under w of the vertical lines z=a+it (for -5sts5) with a =-4,-3,-2,–1,0,1, 2,3 and 4, and the images under w of the horizontal lines z=t+ib (for -5St55) with b=-4,-3,-2,–1,0,1, 2,3 and 4.
Sketch the effect of the complex transformation w = z5 = e?Log(2)/5 on vertical and horizontal straight lines in the z-plane. That is, plot on the w-plane the images under w of the vertical lines z=a+it (for -5sts5) with a =-4,-3,-2,–1,0,1, 2,3 and 4, and the images under w of the horizontal lines z=t+ib (for -5St55) with b=-4,-3,-2,–1,0,1, 2,3 and 4.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 15PS
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