I am working on a school assignment so U understand if you all are reluctant to give exact answers, but U could really use some guidance. I have a few questions, and to keep things organized i will post only one per thread. This thread is regarding Legendre, here is the exact question as per my assignment:
Legendre Polynomials i) Find the Legendre polynomial e8(x) of degree 8. ii) Evaluate e8(x) at x = −1.0, −0.9, −0.8, . . . , +1.0 to isolate each of the eight roots of e8 in an interval of length 0.1. iii) Apply Newton’s method to approximate the roots r8,1, . . . , r8,8 of e8 to within 10−50. Display the roots in a table in increasing order. iv) Approximate the coefficients c8,1, . . . , c8,8 to within 10−50 and display their values in a table.
Im currently at a total loss on this questions. I dont even really know what
e8 reefers too.
I am using MAPLE to write scripts to calculate these values, so i do not need to pen/paper it.
I have parts i, ii, iii done. Im not sure exactly what
iv is asking me to do.
(can i attach text files on here somehow?)