Recent content by Yamahonda450

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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    I don't need to show the proof, I just wanted to make sure. Thank you for your help :smile:
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    That makes more sense, but I'm not yet seeing how that relates to my question. I wanted to make sure the following is true... \sum_{n=1}^{\infty}{\frac{(-1)^n}{n^2}}=\sum_{n=1}^{\infty}\left({\frac{1}{2n^2}-\frac{1}{(2n-1)^2}}\right) The summation on the right side is what allows me to...
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    You said add them but then you subtracted instead. Did you mean to write... \sum_{n=1}^{\infty}{\frac{1}{n^2}}-\sum_{n=1}^{\infty}{\frac{1^n}{n^2}}=\sum_{n=1}^{\infty}{\frac{1-(-1)^n}{n^2}} With the subtracted summation (1)...
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    Thanks for the help. I'm still not sure if those summations are equivalent. The one in the attached that I pointed out but it works.
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    I think I have it. If you look at the attached where I say, If it's true that... Are those two summations equivalent?
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    I know the first summation is equal to pi^2/6 so I just replaced the summation with it. \frac{\pi^2}{6}-\sum^{\infty}_{n=1} \frac{(-1)^n}{(n)^2} Are you saying these two summations are equivalent to... \sum^{\infty}_{n=1} \frac{1}{(2n-1)^2}
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    Ok, now your post is displaying properly. What does the +infinity mean? Is that similar to limits, as in from the right?
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    [SIZE="1"]\sum^{\infty}_{n=1} \frac{1}{(n)^2}-\sum^{\infty}_{n=1} \frac{(-1)^n}{(n)^2} Is this what you are saying? For some reason it's showing this on 3 lines. It should be the summation minus the second summation.
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    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation

    Find the Fourier Series for f(x)=x^2 evaluate f(0) and show that the summation \sum^{\infty}_{n=1}\frac{1}{(2n-1)^2}=\frac{\pi^2}{8} The first part of this problem asked that I find a_{n} and b_{n} Since x^2 is an even function b_n=0 and for a_n I got \frac{4(-1)^2}{n^2} for a_0 I got...
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    1-D Inelastic Block Collision and Spring Compression w/photo

    Here is the equation that I should have used for the final velocity of a "Completely Inelastic Collision"
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    1-D Inelastic Block Collision and Spring Compression w/photo

    I realize my mistake. I completely missed that part about the blocks sticking together after the collision. That would make this a "completely Inelastic Collision" meaning that I should have used this formula below (not sure if it will show) as the initial velocity. In equation 7, I changed...
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    1-D Inelastic Block Collision and Spring Compression w/photo

    Thank you. Please clarify what you mean by "combined blocks"?
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    1-D Inelastic Block Collision and Spring Compression w/photo

    Homework Statement Homework Equations The Attempt at a Solution Here is the work that I've done. This is an even problem in my book so the answer is not given. The professor did gave the answer to this problem as .33m. The most recent answer I got is .4m which means block b...