Question

need help on fourier transform immediately

Answer 1

@ganeshie8

Answer 2

question 1 ab c and question 3 a b c

Answer 3

@pooja195 kindly

Answer 4

@IrishBoy123 kindly

Answer 5

for 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

Answer 6

you should get
\[\frac{2a}{a^2 + w^2}\]

Answer 7

i did the first one though, sorry, i need the rest

Answer 8

for the next one you do

\[\frac{1}{\sqrt{2\pi}} \left[ \int_{-\infty}^{0} -x e^{-i \omega \ x} dx + \int_{0}^{1} x e^{-i \omega \ x} dx + 0 \right]\]

Answer 9

caveat, i am pretty rusty on these but i'd knock this out as integration by parts

Answer 10

thank you

Answer 11

i need step by step though pretty urgent

Answer 12

kindly

Answer 13

if you cannot integrate by parts i think you are going to be in trouble

especially if you are in a rush

use
\(u' = \pm x , \ v = e^{-i \omega \ x}\)

Answer 14

for (c) you have this


but double check your notation

that's trivial, i'd guess