Question: The potential energy of an object is given by U(x) = 8x 2 x 4 , where U is in joules and x is in

The potential energy of an object is given by U(x) = 8x2 −x4, where U is in joules and x is in meters. 

(a) Determine the force acting on this object. 

(b) At what positions is this object in equilibrium? 

(c) Which of these equilibrium positions are stable and which are unstable?

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