The conjugate harmonic function of u(x,y)=3x²y + 2x² - y³ −2y² is (A) v(x, y) = 3xy²-4ay-x² (B) v(x, y)=3xy² + 4xy-x² (C) v(x, y) = 3xy² + 4xy + x³ (D) v(x, y)=-3xy² + 4xy-x²
The conjugate harmonic function of u(x,y)=3x²y + 2x² - y³ −2y² is (A) v(x, y) = 3xy²-4ay-x² (B) v(x, y)=3xy² + 4xy-x² (C) v(x, y) = 3xy² + 4xy + x³ (D) v(x, y)=-3xy² + 4xy-x²
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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![The conjugate harmonic function of u(x, y) = 3x²y + 2x² - y³ -2y² is
(A) v(x, y) = 3xy² - 4xy-x³
(B) v(x, y) = 3xy² + 4xy-x³
(C) v(x, y) = 3xy² + 4xy + x³
(D) v(x, y)=-3xy² + 4xy-x³](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf4e9f68-b5eb-4a27-ae76-fd0a8c3d58af%2Fca3d6b22-dc6a-4c2b-9ae2-6ffff83c77cc%2Ferwpx0ck_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The conjugate harmonic function of u(x, y) = 3x²y + 2x² - y³ -2y² is
(A) v(x, y) = 3xy² - 4xy-x³
(B) v(x, y) = 3xy² + 4xy-x³
(C) v(x, y) = 3xy² + 4xy + x³
(D) v(x, y)=-3xy² + 4xy-x³
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