One of the following statements is true None of them If f and f are both analytic then f is not constant. If v is a harmonic conjugate of u and if u is a harmonic conjugate of v then both u and v are equal. ° If v is a harmonic conjugate of u, then u is a harmonic conjugate of v. If f is an analytic function such that |f| is a constant function then f is differentiable.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
Topic Video
Question
3
One of the following statements is true
None of them
If f and f are both analytic then f is not constant.
If v is a harmonic conjugate of u and if u is a harmonic conjugate of v
then both u and v are equal.
If v is a harmonic conjugate of u, then u is a harmonic conjugate of v.
If f is an analytic function such that |f] is a constant function
then f is differentiable.
Transcribed Image Text:One of the following statements is true None of them If f and f are both analytic then f is not constant. If v is a harmonic conjugate of u and if u is a harmonic conjugate of v then both u and v are equal. If v is a harmonic conjugate of u, then u is a harmonic conjugate of v. If f is an analytic function such that |f] is a constant function then f is differentiable.
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