MATLAB

1. Let f(x) = cos 2x. For a domain and x0 of your choice, write the 1st through 5th degree Taylor polynomials in your written document. In one MatLab figure, plot all 5 and the original function. In another figure, plot the error for each approximation, as functions of x. This should create 5 curves as well.

2. Let f(x) = 1 x+1 . Repeat the previous exercise for this function. (Hints: remember to limit your domain and pick an x0 so as not to explode 1 this function by division by zero. Also, division, as with multiplication, needs to be done elementwise using the .)

Numerical Analysis Use MATLAB