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Let f(2)= (2+1)|z|². (2.1) Use the Cauchy-Riemann equations to determine where f is differentiable. (2.2) Write down all points (if any) where f is analytic.

Let f(2)= (2+1)|z|². (2.1) Use the Cauchy-Riemann equations to determine where f is differentiable. (2.2) Write down all points (if any) where f is analytic.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Question
Let f(z) = (2+1)|z|². (2.1) Use the Cauchy-Riemann equations to determine where f is differentiable. (2.2) Write down all points (if any) where f is analytic.
Transcribed Image Text:Let f(z) = (2+1)|z|². (2.1) Use the Cauchy-Riemann equations to determine where f is differentiable. (2.2) Write down all points (if any) where f is analytic.
Expert Solution
Step 1

The given function fz=z+1z2

We have to find the points for which fz is differentiable and analytic.

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