Maple Does anyone know how to use the Maple Software?

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The discussion revolves around using Maple software to solve homework problems involving Legendre polynomials and series expansion. The original poster expresses confusion about how to utilize Maple, particularly for expanding the function sin(x) in terms of Legendre polynomials Pn(x) over the interval [-1, 1]. They inquire whether the approach of using a Taylor series expansion is correct, suggesting that P0(x) is x, P1(x) is x^3/3!, and so forth. Additionally, they seek assistance with plotting the results in Maple. The responses emphasize utilizing Maple's online help files for guidance on series and plotting functions.
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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?
 

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

- Warren
 
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..
 
Can someone help

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