c) (20 points) For this problem, use a computer program like MATLAB or Mathe- matica to make the required plots. No, Excel is not an OK computer program for this purpose. Plot the following wavefunction versus x at t-0 for a superposition of 2 waves, 5 waves, 50 waves and 5000 waves (4 separate graphs). For each wave of the superposition, choose a different value of k as described below. Comment on the differences between these plots. Use the following information: ,,-sin(kr-wt) -500 nm, and y-m . 0.02. k, where m is an integer denoting the wave being added (i.e. for 5000 waves, each wave will be denoted by an m value from 0 to 4999) Make sure at least two cycles of the modulating wave are visible