9) If f(z)=u- iv is analytic in the z-plane, then the C-R equations satisfied by it's real and imaginary parts are Ux = -Vy, Uy = 1x U₂ = -x Uy = 1x a) b) x = Vyr c) Ux = Vy, d) NOTA

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 21E
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9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and imaginary
parts are
Ux = -Vy,
Uy = 1²x
U₂ = -1x
U₂. = 1/x
a)
b) x = Vy.
c) Ux = Vyr
d) NOTA
Transcribed Image Text:9) If f(z)=u-iv is analytic in the z-plane, then the C-R equations satisfied by it's real and imaginary parts are Ux = -Vy, Uy = 1²x U₂ = -1x U₂. = 1/x a) b) x = Vy. c) Ux = Vyr d) NOTA
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