Hello everyone, this is only one question related to PHY254 Classical Mechanics. I really need your help. It is only one question, please help me showing with handwriting and not typed. This question is related to Harmonic Oscillator. Thank you very much in advance. Also there are no missing info. The question was originally provided like that.

The mass shown in figure 1 is resting on a frictionless horizontal table (meaning that it can move in the plane of the sheet, not just along the axis shown on the figure). Each of the two identical springs has stiffness k and unstretched length 60. At equilibrium the mass rests at the origin, and the distances ( are not necessarily equal to 60 . (That is, the spring might already be stretched or compressed.) 1.1. Show that when the mass moves to a position (x, y), with x and y small, the potential energy with respect to the x = 0, y = 0 equilibrium has the form AU = = (Kxx2 + ky)2), (1) i.e., that of an anisotropic oscillator (anisotropic = behaves differently depending on the di- rection). Hints: this one is difficult. "Small" does indeed mean that you need to do a Taylor expansion, but you will not be able to stop after the first order, you will need to go further. You may need the following results: Fore