34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if false, give a counter example or other justification. e) (T or F) Let S(z) z+i The Mobius transformation S(z) maps the real axis to the unit z- circle. f) (T or F) The function f (z) = z² is conformal in the unit disk D(0,1).

34. True-False. If the assertion is true, quote a relevant theorem or reason, or give a proof; if false, give a counter example or other justification. e) (T or F) Let S(z) z+i The Mobius transformation S(z) maps the real axis to the unit z- circle. f) (T or F) The function f (z) = z² is conformal in the unit disk D(0,1).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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