MATLAB HELP - Maclaurin series

1. Oct 4, 2006

figgy111

MATLAB HELP!!! -- Maclaurin series

Hi, i have absolutely no programming experience with matlab and really need it. We have been assigned 2 problems using matlab and a bunch of others that don't need matlab. I was wondering if someone could show me what to do for the two needed to be done in matlab (or send a .m file if you have one/could create one); the questions are:

The Maclaurin series expansion for cos (x) is:

cosx = 1 - (x^2)/2 + (x^4)/4! - (x^6)/6! + (x^8)/8! - .....

Starting with the simplest version, cosx = 1, add terms one at a time to estimate cos(pi/3). After each term is added, compute the true and approximate percent relative errors. Use your pocket calculator to determine the true value. Add terms until the absolute value of the approximate error estimate falls below an error criterion conforming to two significant figures.

The other question is:

Use a centered difference approximation of O(h^2) to estimate the second derivative of the function f(x) = 25x^3 - 6x^2 + 7x - 88. Perform the evaluation at x = 2 using step sizes of h = 0.25 and 0.125. Compare your estimates with the true value of the second derivative. Interpret your results on the basis of the remainder term of the taylor series expansion.