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A particle of mass m moves along the x-axis. Its potential energy at any point x is
V (x) = V, x'e* ,
V.
constant
a. Determine the maximum total energy E, that the particle can have and still
execute bounded motion. If E<E, is the motion necessarily bounded? Explain
why.
b. Sketch the different possible phase portraits. ( make the value of E vary)

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