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The Lagrangian of a particle of mass m moving along the x-axis is given by L= 1 2 m dot x ^ 2 - q * x ^ 2 - alpha*x with q, alpha > 0 What type of motion the execute? (A) A harmonic oscillator with equilibrium point at (0, 0). (B) A harmonic oscillator with equilibrium point on positive x-axis. (C) A harmonic oscillator with equilibrium point on negative x-axis. (D) An anharmonic oscillator with equilibrium point at (0, 0).