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(5.) Let u(x, y) = ln(x² + y²) (a. (c. State the domain of u: Determine lim f(x, y) (x,y) →(1,0) Show that the function u(x, y) = ln(x² + y²) satisfies the equation J²u J²u əx² dy² = 0

(5.) Let u(x, y) = ln(x² + y²) (a. (c. State the domain of u: Determine lim f(x, y) (x,y) →(1,0) Show that the function u(x, y) = ln(x² + y²) satisfies the equation J²u J²u əx² dy² = 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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(5.) Let u(x, y) = ln(x² + y²) State the domain of u: (a. (b. (c. Determine lim f(x, y) (x,y) →(1,0) Show that the function u(x, y) = ln(x² + y²) satisfies the equation J²u მე2 + J²u მ2 = 0
Transcribed Image Text:(5.) Let u(x, y) = ln(x² + y²) State the domain of u: (a. (b. (c. Determine lim f(x, y) (x,y) →(1,0) Show that the function u(x, y) = ln(x² + y²) satisfies the equation J²u მე2 + J²u მ2 = 0
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