For each of the following functions determine whether it is the real part of a differentiable function defined on C. If it is, determine a corresponding imaginary part. (i) u(x, y) = x² - y²+4xy; (ii) u(x, y) = x³ — y³ + 3x²y. -

For each of the following functions determine whether it is the real part of a differentiable function defined on C. If it is, determine a corresponding imaginary part. (i) u(x, y) = x² - y²+4xy; (ii) u(x, y) = x³ — y³ + 3x²y. -

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 35RE

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Question

For each of the following functions determine whether it is the real part of a
differentiable function defined on C. If it is, determine a corresponding imaginary
part.
(i) u(x, y) = x² - y²+4xy;
(ii) u(x, y) = x³ — y³ + 3x²y.
-

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