6.(3.1) (1) Let f(x, y) = xy³+x²+ y². Find fxx, fxy, fyy and evaluate them at x0 = (2,-1). Y (2) Show that f(x, y) = arctan is harmonic. x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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6.(3.1) (1) Let f(x,y) = xy³+x²+y¹. Find fxx, fxy, fyy and evaluate them at x0 = (2,-1).
Y
(2) Show that f(x, y) = arctan
is harmonic.
x
Transcribed Image Text:6.(3.1) (1) Let f(x,y) = xy³+x²+y¹. Find fxx, fxy, fyy and evaluate them at x0 = (2,-1). Y (2) Show that f(x, y) = arctan is harmonic. x
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