Question: code class=asciimath>A radial or central force field F in the plane can be written in the form F(x,y)=f(r)r, where r=xi +yj and r=||r||. Show that

code class="asciimath">A radial or "central" force field F in the plane can be written in the form F(x,y)=f(r)r, where r=\xi +yj and r=||r||. Show that such a force field is conservative.

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