Use a computer program to produce a wave packet using the function ψn = An cos (2 πnx) w...

Use a computer program to produce a wave packet using the function ψ_n = A_n cos (2 πnx) where the integer n ranges from 9 to 15. Let the amplitude A₁₂ = 1 with the amplitudes A_n decreasing symmetrically by 1/2, 1/3, 1/4 on either side of A₁₂ (for example, A₁₀ = 1/3 and A₁₅ = 1/4). (a) Plot the wave packet versus x and each wave ψ_n over a wide enough range in x to see repeatable behavior for the wave packet. (b) Where is the wave packet centered? Over what value of x is the wave packet repeated?