Consider the vector field F = (xªy³, x³y¹). O The vector field is not conservative O 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 ƒ(x, y) to evaluate F. dr along a piecewise smooth curve (C) from (2,-4) to (-3,-1). F.dr

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the vector field F = (xªy³, x³y¹).
O The vector field is not conservative
O The vector field is conservative, and the potential function such that f(0, 0) = 0 for Fis
f(x, y)
If
Fis conservative, use f(x, y) to evaluate F. dr along a piecewise smooth curve (C) from
(2,-4) to (-3,-1).
[ ₁ F. dr =
Transcribed Image Text:Consider the vector field F = (xªy³, x³y¹). O The vector field is not conservative O The vector field is conservative, and the potential function such that f(0, 0) = 0 for Fis f(x, y) If Fis conservative, use f(x, y) to evaluate F. dr along a piecewise smooth curve (C) from (2,-4) to (-3,-1). [ ₁ F. dr =
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