2. Prove the following properties of Discrete-time Fourier transform (DTFT). DTFT DTFT (a) ifx[n] X(e") then x[n-n,] → X (e")e™ DTFT DTFT DTFT (b) ifx[n] → X(elo) & y[n] → Y(e") then x[n]y[n]

Q: 8(x – a) + 8(x + a)

A: Topic:- calculus

Q: Derive the Fourier transform for f(t) = te2t for t>0 and 0 for t<0.

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…

Q: Compute y F4c by the three steps of the Fast Fourier Transform if c(1, 0, 1, 0).

A:

Q: Obtain the Fourier transform of the function where f(x) = 0 for x &lt; 0 and f(x) = e−axsin(bx) for…

A:

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

A:

Q: Find the Fourier Transform of f(s) = e-ax= a >0

A: The Fourier transform of a function  is given by :

Q: Find the inverse Laplace transform. F(s) = 1/s - 2/s^5/2

A: This question related to inverse laplace transform.

Q: Find the inverse Laplace transform of the function F(s)=s + 2/(s^2-8s+25)

A: