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anonymous
 one year ago
need help on fourier transform immediately
anonymous
 one year ago
need help on fourier transform immediately

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0question 1 ab c and question 3 a b c

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3for first one, look here http://openstudy.com/users/irishboy123#/updates/55e4c101e4b0445dfd12b32e you just need to tweak this ie ad \(e^{a}\) in as a constant

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3you should get \[\frac{2a}{a^2 + w^2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i did the first one though, sorry, i need the rest

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3for the next one you do \[\frac{1}{\sqrt{2\pi}} \left[ \int_{\infty}^{0} x e^{i \omega \ x} dx + \int_{0}^{1} x e^{i \omega \ x} dx + 0 \right]\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3caveat, i am pretty rusty on these but i'd knock this out as integration by parts

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i need step by step though pretty urgent

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3if you cannot integrate by parts i think you are going to be in trouble especially if you are in a rush use \(u' = \pm x , \ v = e^{i \omega \ x}\)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3for (c) you have this dw:1441264946681:dw but double check your notation that's trivial, i'd guess

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3for 3 you'd need to be familiar with known transforms this kind of thing: http://uspas.fnal.gov/materials/11ODU/FourierTransformPairs.pdf i could read through them but if you are in a rush i would be wasting your time.... :(

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3if i read the h notation correctly, (c) simplifies to \[2\int_{0}^{1} \ sin x \ dx\]

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3soz make that simplification \[\frac{i}{\sqrt{2 \pi}} . 2\int_{0}^{1} \ sin \ \omega x \ dx\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just out of curiosity, what definition does your text use for the transform?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3ah! kept meaning to bring that up the table i linked uses https://gyazo.com/e52ab73f1c94060a3355f9d06b0890af as opposed to https://gyazo.com/fa16fc59e58bc8dcc5084074a5240abf ie the \(1/\sqrt{2 \pi }\) flavour wolfram uses the latter also as i have checked 3a,b,c there

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3here are some scribbles. in order they occur 3(a) 3(c) 3(a) done a slightly different way 3(c) not finished issues, 1/ there may be a \(2 \pi\) or \( \sqrt{2 \pi}\) missing depending on where it sat in the definition used for the transform. 2/ i have a sign problem with 3(a), very annoying as it cropped up both times i scribbled it out. i get minus what wolfram gets each time... 3/ i can't make sense of where the delat fits in in 3(c) . it is a lot easier just doing the integral but using the tables, haven't done that in a long time..... this might be of some help.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.3be careful with it, i haven't done this is ages. but if you are stuck, it still might help. good luck :p
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