Singin' in the rain includes a number of musical and dance pieces throughout the film. don's piece starting at time code 01: 15: 34 is one example of this. how is music used in the film? if you were the filmmaker, would you make any changes to the use of music in the film? if so, what changes would you make and why? if not, why not?

Least square fit to polynomial write a function leastsquarefit3pol that solves a linear system of equations to find a least squares fit of a third order polynomial to an experimental data set given as two row arrays. the function leastsquarefit3pol must explicitly solve a set of linear equations and cannot use polyfit. there should be no restriction on the size of the problem that can be solved.