6) Let f(xxx)=3xy²-x² be a potential function of a fluid velocity field. a) Find the magnitude of the greatest rate of change for f(x,y) at (1,3). Please provide a physical interpretation. b) Find the direction angles for this greatest rate of change. Express angles in degrees. Please provide a physical interpretation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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6) Let f(xxx)=3xy²-x² be a potential function of a fluid velocity field.
a) Find the magnitude of the greatest rate of change for f(x,y) at (1,3). Please provide a
physical interpretation.
b) Find the direction angles for this greatest rate of change. Express angles in degrees.
Please provide a physical interpretation.
Transcribed Image Text:6) Let f(xxx)=3xy²-x² be a potential function of a fluid velocity field. a) Find the magnitude of the greatest rate of change for f(x,y) at (1,3). Please provide a physical interpretation. b) Find the direction angles for this greatest rate of change. Express angles in degrees. Please provide a physical interpretation.
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