Recent content by overseastar

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    Undergrad How do I integrate (x^2+a^2)^(-3/2)?

    I haven't done basic integrals for awhile...but just wondering how you would integrate the following functions without looking it up in the integral table. (x^2+a^2)^(-3/2) where a is a constant. Thanks!
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    Understanding Body Diagonals of a Cube

    oh, if that's the case, I think I got it LOL Thanks a bunch!
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    Understanding Body Diagonals of a Cube

    i used a unit cube. with one diagonal at (0 0 1) (1 1 0) the other diagonal at (0 0 0) (1 1 1) but it doesn't work, hmmm...for a sec i thought i did get it.
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    Understanding Body Diagonals of a Cube

    nvm, thanks for your help~!
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    Understanding Body Diagonals of a Cube

    When drawing the vectors in the case within the cube, do they have to be from the same origin?
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    Understanding Body Diagonals of a Cube

    I seem to be getting an answer of 45 degrees which isn't right...
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    Understanding Body Diagonals of a Cube

    I have the same problem, yet, I still can't picture it.
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    Undergrad Finding the particular solution of DE

    Sorry, I guess I should be more specified. It asked us to use the Fourier Series Method.
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    Undergrad Finding the particular solution of DE

    the question is asking us to solve this nonhomogeneous problem: U[SIZE="1"]tt = U[SIZE="1"]xx + sin(x)sint(t) and I think in one step of the calculations, we need to find the general solution of sin(x)sin(t) along with the particular solution. Or is there another way to approach this...
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    High School Student Recites 8,784 Digits of Pi

    Came across a cool site related to pi earlier: http://pi.ytmnd.com/
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    Undergrad Finding the particular solution of DE

    I have a nonhomogeneous DE and wants to find the particular solution for Asin(x)sin(t) Is there any tips in using method of undetermined coefficient to guess the particular solution of this?
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    How Do You Construct an Orthonormal System from Functions?

    Ok, I finally understand the part after the unit vector. What is the next step once I've got the unit vector for each of the function?
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    Introduction to Fourier Integral

    Sorry, that was just a little assumption I made, matt grime. i guess i should learn to start linking all my math concepts from the two types courses together. The original question says that the 3 orthogonal functions are with respect to the weight function 1 on the interval [-1,1]
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    How Do You Construct an Orthonormal System from Functions?

    So if i were to rewrite the 3 functions in terms of vectors, would they become like this? 0 0 1 <-- 1 0 1 0 <-- x 3 0 -1 <-- 3x^2-1 so 1st vector would be 0 0 3 ?
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    How Do You Construct an Orthonormal System from Functions?

    :bugeye: I'm not a very wordy person and I learn from seeing equations and numbers and examples, I guess it's kinda hard to explain it like that. Thanks for your help, I'll think about it for now. according to my notes, it says that a system of orthogonal functions w.r.t. weight q of [a, b]...