Consider the vector field ³ = (x³yª,x^Y³). The vector field is not conservative The vector field is conservative, and the potential function such that f(0,0) = 0 for Fis f(x,y) If F is conservative, use f(x, y) to evaluate jp.dt-f dr Lo F. dr along a simple closed smooth oriented curve ( 15/07/2023

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the vector field ¹ = (x³yª,x^Y³).
The vector field is not conservative
O The vector field is conservative, and the potential function such that f(0,0) = 0 for F is
f(x, y)
If F is conservative, use f(x, y) to evaluate
Jo
L
F. dr along a simple closed smooth oriented curve (
F.dr
15/07/2023 10:24
Transcribed Image Text:Consider the vector field ¹ = (x³yª,x^Y³). The vector field is not conservative O The vector field is conservative, and the potential function such that f(0,0) = 0 for F is f(x, y) If F is conservative, use f(x, y) to evaluate Jo L F. dr along a simple closed smooth oriented curve ( F.dr 15/07/2023 10:24
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