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anonymous
 5 years ago
Fourier Series Help!
anonymous
 5 years ago
Fourier Series Help!

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[f(x)= 0 3\le x<1, 3 1\le x < 1, 0 1 \le x < 3\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Solve for 3 non zero terms

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0remind me, we have to integrate between these points, right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes with formulas for ao, an, bn

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[ f(x) = a0 + \sum_{n=1}^{\infty}(an \cos nx +bn \sin nx)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Not familiar with it in that form but it looks similar yeah

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the question is : 0 + \[\int\limits_{3}^{1} (an \cos n x + bn \sin nx) dx \] for the first term right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then 3  (the integral between 1 and 1) , right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[ao= 1/2L \int\limits_{L}^{L} f(x) dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[an= 1/L \int\limits_{L}^{L} f(x)\cos* n \pi x/L dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, yes! For the first one the interval is between [3,1) so you'll integrate and get the following form:\[= \int\limits_{3}^{1}a0 dx + \int\limits_{3}^{1}\sum_{n=1}^{\infty}(an \cos nx + bn \sin nx)dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That is for solving a0 right? I'm not used to seeing sigma or it done with all the integrals combined.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[=2 a0 +\sum_{n=1}^ {\infty} an \int\limits_{3}^{1} \cos nx dx + \sum_{n=1}^{\infty}bn \int\limits_{3}^{1}\sin nx dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, that's the general form of fourier's series ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then you can integrate cos nx and sin nx and treat n as csts :), then you'll get the answer

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0separate them and solve each one alone then combine them and you'll get: \[\int\limits_{3}^{1}\cos nx dx\] and then integrate : \[\int\limits_{3}^{1}\sin nx dx\] find the answer and combine it with : = 2ao + _____ + _____ ( the answers you'll get after integrating)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0same thing goes with the other zeros ^_^ good luck! hope I made it easier for you :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, np ^_^ good luck.
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