The vector field F(r, y) = (2xy +y) dx + (æ + 2xy) dy is conservative. %3D The function f(x, y) = x² + 2xy+K is a functionf such that F =Vf. %3D Evaluate F dr, where C is the line segment from (-1, 1) to (2, 2).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The vector field F(x, y) = (2xy + y°) dx + (x² + 2xy) dy is conservative.
The function f(x, y) = x² + 2xy + K is a function f such that F = Vƒ.
Evaluate
F dr, where C is the line segment from (-1,1) to (2, 2).
Transcribed Image Text:The vector field F(x, y) = (2xy + y°) dx + (x² + 2xy) dy is conservative. The function f(x, y) = x² + 2xy + K is a function f such that F = Vƒ. Evaluate F dr, where C is the line segment from (-1,1) to (2, 2).
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