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Let 9 be the function defined by g(z) = = z² +i (a) Calculate the modulus and principal argument of g'(1 - i). (b) Use part (a) to describe the approximate geometric effect of applying 9 to a sinall disc centred at 1 — i.

Let 9 be the function defined by g(z) = = z² +i (a) Calculate the modulus and principal argument of g'(1 - i). (b) Use part (a) to describe the approximate geometric effect of applying 9 to a sinall disc centred at 1 — i.

Advanced Engineering Mathematics
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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Let be the function defined by g(z) : = 1 z² +i (a) Calculate the modulus and principal argument of gʻ(1 — i). (b) Use part (a) to describe the approximate geometric effect of applying 9 to a sinall disc centred at 1 - i.
Transcribed Image Text:Let be the function defined by g(z) : = 1 z² +i (a) Calculate the modulus and principal argument of gʻ(1 — i). (b) Use part (a) to describe the approximate geometric effect of applying 9 to a sinall disc centred at 1 - i.
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