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A potential-energy function in two dimensions is given by U(x)=a(x2−y2), where x and y measure position...

A potential-energy function in two dimensions is given by U(x)=a(x2−y2), where x and y measure position in m and a is a positive constant with the units of J/m2J/m2. (a) Show that this function has an equilibrium at x=0, y=0. (b) Is the equilibrium stable against small displacements in the x-direction? What about the y-direction?

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