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Consider the vector field ♬ = (x³y¹, x¹y³). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0) = 0 for F is f(x, y) = If is conservative, use f(x, y) to evaluate (-2,3) to (-3,-3). L.F. C F.dr = L. F F. dr along a piecewise smooth curve (C) from C

Consider the vector field ♬ = (x³y¹, x¹y³). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0) = 0 for F is f(x, y) = If is conservative, use f(x, y) to evaluate (-2,3) to (-3,-3). L.F. C F.dr = L. F F. dr along a piecewise smooth curve (C) from C

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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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 such that f(0, 0) = 0 for Fis f(x, y) = If ♬ is conservative, use f(x, y) to evaluate (-2,3) to (-3,-3). [F F.dr = Jo F. dr along a piecewise smooth curve (C) from
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 such that f(0, 0) = 0 for Fis f(x, y) = If ♬ is conservative, use f(x, y) to evaluate (-2,3) to (-3,-3). [F F.dr = Jo F. dr along a piecewise smooth curve (C) from
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