Find the Fourier Transforms of the indicated function: f (x) = xe-|x|

Find the Fourier Sine Transform of the function if a = 5, b = 10, and c = 4 . Then, evaluate the transform if w = 14.

Look for the Fourier integral of the function

Find the inverse Fourier transform of the function 10 sin(3w) w+T

Obtain the inverse Fourier transform of:

2-find the laplac transform for the function: t² (u-1)

Find the Fourier transform $\tilde{f}(p)$ of the function f(x) = √4x²e-5 for x ≥ 0 10 for x < 0. ƒ (p) If you need to write the imaginary number, you may just type i or %i.

Find the Fourier transform of (x) = {13x (13x if|x| 1

What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w using the correct syntax. Fourier transform is F(w) =

Determine the graph and the Fourier coefficients of the following function: that describe the vibrations of some equipment. f(x) = 0, -nSiS0