For positivenbspanbspb the potential energynbspu of a

Question

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