Getting started with Maple for homework problems

[ilikephysics]

The instructions for the attached homework instructs us to use maple for both problems. I really don't know how to use it. I've never really used it. Can someone help please?

 

[chroot]

Everything you need should be in Maple's online help files. Look up series and plot and so on.

- Warren

 

[ilikephysics]

am i doing #1 right?

I'm still a bit confused of how to do legendre polynomials. For #1, I have to expand the function sin(x) in a series of legendre polynomials Pn(x) on the interval x E [-1,1]. Would I do this like the taylor series, x-x^3/3!+x^5/5!-x^7/7!+...

So would P0(x) be x, P1(x)=x^3/3!, P2(x)=x^5/5!, P3(x)=x^7/7!

Still don't know how to plot it..

 

[ilikephysics]

Can someone help

Can someone please help me? I tried #1. Is it right? Am I on the right track?