9. Determine the image of the circle z +- 2 P 1 2 3i under w(z) ==+l+i. Z

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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7. Determine the image of the ray Arg(z) = π/4 under inversion mapping.
8. Find the image of the given set under the mapping w = z².Represent the mapping by drawing the
set and its image
the polygon with vertices 0, 1, 1 + i, and −1 + i.
the line y = -3; f(z)=-z²+i.
i)
11)
9. Determine the image of the circle z +
1+i
10. Under the mapping w(z) = 2 +
Z
3i
under w(z) +1+i.
Z
,find the image of the annulus region 1≤z≤2.
Transcribed Image Text:7. Determine the image of the ray Arg(z) = π/4 under inversion mapping. 8. Find the image of the given set under the mapping w = z².Represent the mapping by drawing the set and its image the polygon with vertices 0, 1, 1 + i, and −1 + i. the line y = -3; f(z)=-z²+i. i) 11) 9. Determine the image of the circle z + 1+i 10. Under the mapping w(z) = 2 + Z 3i under w(z) +1+i. Z ,find the image of the annulus region 1≤z≤2.
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