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For positive a, b, the potential energy, U, of a particle is given by
U = b (a2/x2-a/x) for x > 0
a) Find the intercepts:
x-intercept
U-intercept
b) Find the asymptotes
c) Compute the local maximum (x, U)
d) Compute the local minimum (x, U)
e) Sketch the graph
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