If you have a CAS that plots vector fields (the command is fieldplot in Maple and PlotVectorField
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If you have a CAS that plots vector fields (the command is fieldplot in Maple and PlotVectorField or VectorPlot in Mathematica), use it to plot
F(x, y) = (y2 - 2xy) i + (3xy - 6x2 )j
Explain the appearance by finding the set of points (x, y) such that F(x, y) = 0.
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