Determine whether each of the following vector fields F is path independent (conservative) or not. If it is path indepen
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Determine whether each of the following vector fields F is path independent (conservative) or not. If it is path indepen
Determine whether each of the following vector fields F is path independent (conservative) or not. If it is path independent, enter a potential function for it. If it is path dependent, enter NONE. (a) If F(x,y)=⟨5x2−y2,−2xy⟩, then f(x,y)= (b) If F(x,y)=x+26yi+6ln(x+2)j, then f(x,y)= (c) If F(x,y)=3ysin(xy)i+3xsin(xy)j, then f(x,y)=
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