1c) and d) ii) please Z+1z-21) a) show that the image of the disc 12-1/2 under theMöbius transformation w= is the domain & WEC/ (W-2)>2}b) Show that the image of the domain &z: Rez <1} under theMöbius transformation W = 124 is the domain & w: IW-31>1}c) Show that the image of the annulus {z: ^<12/<2} underW = = = 1 is the domain { W: Rew > - 1, 1 w - 3/31 > 4 3 324zd) Find the Möbius transformation that maps.i) 0-0, 1-i→ 2-di, i→1; u) iso, -3-6+2i, ∞ >2i

Answered: Image /qna-images/answer/efa81dca-836b-489e-9eff-33312c015076.jpg

Z-2 1) a) show that the image of the disc 12-1/2 under the Möbius transformation w = 2+1 is the domain & WEC | (W-2)>2} b) Show that the image of the domain {z: Rez < 1} under the Möbius transformation w = 42 is the domain & W: IW-31>13 c) Show that the image of the annulus {z: ^<12/<2} under W = = = 1 is the domain & W: Rew >-1, 1W- 3 3 1> 1 } d) Find the Möbius transformation that maps. Z+1 >> i) 0-0, 1-i→ 2-di, i+1; ii) iso, -3-6+2i, * >2i

Z-2 1) a) show that the image of the disc 12-1/2 under the Möbius transformation w = 2+1 is the domain & WEC | (W-2)>2} b) Show that the image of the domain {z: Rez < 1} under the Möbius transformation w = 42 is the domain & W: IW-31>13 c) Show that the image of the annulus {z: ^<12/<2} under W = = = 1 is the domain & W: Rew >-1, 1W- 3 3 1> 1 } d) Find the Möbius transformation that maps. Z+1 >> i) 0-0, 1-i→ 2-di, i+1; ii) iso, -3-6+2i, * >2i

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 27E

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