?Show that \(\mathbf{F}\) is a conservative vector field. Then find a function \(f\)
Chapter 16, Problem 11(choose chapter or problem)
Show that \(\mathbf{F}\) is a conservative vector field. Then find a function \(f\) such that \(\mathbf{F}=\nabla f\).
\(\mathbf{F}(x, y)=(1+x y) e^{x y} \mathbf{i}+\left(e^{y}+x^{2} e^{x y}\right) \mathbf{j}\)
Equation Transcription:
Text Transcription:
F
F=nabla f
F(x,y)=(1+xy)e^xy i+(e^y+x^2e^xy)j
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