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Consider the vector field F = (x³y¹, x¹y³). O The vector field is not conservative The vector field is conservative, and the potential function for F is (use K for constant) (x, y) - If F is conservative, use ☀(x, y) to evaluate along a simple closed smooth oriented curve [F F.dr S 1.² с (C). F.dr

Consider the vector field F = (x³y¹, x¹y³). O The vector field is not conservative The vector field is conservative, and the potential function for F is (use K for constant) (x, y) - If F is conservative, use ☀(x, y) to evaluate along a simple closed smooth oriented curve [F F.dr S 1.² с (C). F.dr

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the vector field F = (x³y¹, x¹y³). The vector field is not conservative The vector field is conservative, and the potential function for F is (use K for constant) $(x, y) If ♬ is conservative, use ☀(x, y) to evaluate C along a simple closed smooth oriented curve (C). So F.dr - F.dr
Transcribed Image Text:Consider the vector field F = (x³y¹, x¹y³). The vector field is not conservative The vector field is conservative, and the potential function for F is (use K for constant) $(x, y) If ♬ is conservative, use ☀(x, y) to evaluate C along a simple closed smooth oriented curve (C). So F.dr - F.dr
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