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(2.2) Show that the time to go from a, to r2 is (156) V2(E - U(I) (2.3) Draw phase curves for i = - sing

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(2.2) Show that the time to go from a, to r2 is (156) V2(E - U(I) (2.3) Draw phase curves for i = - sing and for = = - sing + M. (2.4) Find the tangent lines to the branches of the critical level corresponding to the maximal potential energy E = U((). (2.5) Let S(E) be the area enclosed by the closed phase curve corresponding to the energy level E. Show that the period is T = dS/dE. 52 (2.6) Find the period To = lime-+F. T(E) of small oscillations in a neighborhood of a minimum / which occurs at C. (2.7) Draw the image of the circle s' + (y -1)?

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