Could you explain to me how to find the inverse Fourier transform of the function __ (w+4)² 32 a. f(w) = 9e b. f(w) = 1+iw 6-w +5iw

Q: Q2. Find the Fourier transform of the function S2x e- 0<x <1 otherwise f(x) = %3D

A: The given problem is to find the Fourier transform of given function, we have to use Fourier…

Q: For each of followuing equations. is it PDE? IS it linear or nonlinegr ? What is their orden ODE OY…

A:

Q: Calculate the inverse Laplace Transform of the function 79 -9 with a 4, at t-4 s. +80

A: This question is about to evaluate inverse Laplace transform.

Q: N= 20 , a= 6 a. Find the Fourier Transform of the constant function f for f(x) = N, 0<x < N (Note: N…

A: Given N=20 and a=6 Since Fourier transform of f(x), -∞&lt;x&lt;∞, denoted by F(ω) where ω∈N, is…

Q: Find the inverse transform of the given functions: 1. F(s) = 352+5s+5 (s3+8s2+19s+12)(s³) 5s+3 6s 2.…

A:

Q: What is the Inverse Fourier transform of: F(w) =: 19(25-w2), (25+w)2 Your answer should be expressed…

A: Given Fourier transform function is: Fw=1925-w225+w22 let us try to bring above function in to a…

Q: your to nod of a. f(x) = x – 4x-*², I[1,2]

A:

Q: Consider the signal (et+2, t<-2 f(t) = {1, -2≤t <2 e²-t, t22 (a) Is the signal time-limited?…

A: a)we need to check if the signal exists for all values of t or if it is only defined over a specific…

Q: Find the Fourier transform of each function. In each case, a is a positive real constant. Answer:…

A:

Q: Find the inverse transform of the given functions: 3s2+5s+5 1. F(s) = (s3+8s2+19s+12)(s3)

A:

Q: What is the inverse Laplace transform of the attached function, expressing the answer as f(t), using…

A: Step 1:Step 2:Step 3:Step 4:Step 5:

Q: 2. Determine the Laplace transform of the function rsinr using the 2nd derivative theorem.

A:

Q: Find the transforms of the given functions: Please see attachment

A: By the properties of Laplace transformations:

Q: (Difficulty: **) Consider a signal 2[n] and its DTFT X (eiw). Assume X(ej") is differentiable.…

A: Solution is as follows

Q: (In3+j5)5 sech(5.5430°) tanh j 4 V[ej – j213 ji]4 Evaluate the function above. Key in your answer in…

A: Given tanhjπ4ej-j213jj4ln3+j55sech(5.5∠30°)

Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: Find the Fourier sine and cosine transform of f (x), if х, 0 2

A: Fourier Cosine transform and Fourier sine transform

Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

A:

Q: 3. Find the Fourier transform 4. Find the Fourier transform of of 6e-ltl of of 1/(1+ t²).

A:

Q: (3 f(t) = - 2<t< 2 otherwise %3D

A:

Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2+s+6)(s²+5)

A: To solve given question first we write the partial fraction decomposition of given function and then…

Q: Find the Laplace transform of f (x) = 3 sin 3x – 2e-2x

A:

Q: Find the inverse transform of the given functions: 35+5s+5 1. F(s) = (s3+852+195+12)(s³)

A: Factor the denominator of 3s2+5s+5(s3+8s2+19s+12)s3. 3s2+5s+5(s3+8s2+19s+12)s3=3s2+5s+5s+1s+3s+4s3…

Q: Find the Inverse Laplace Transform e-3"(2s + 7) L-1 s2 + 16

A:

Q: 2) f(z) = 322 + 솔 3z²

A:

Q: Q4: Find the inverse Fourier transform of the spectrum: (T - 2 < w < 0 2 X(@) = 0 < w < 2 2 0.W

A:

Q: Q4: Find the inverse Fourier transform of the spectrum: - 2 < w <-1 1sw S 2 0.W X(@) :

A: Inverse Fourier transform of the function

Q: Q2- Find the Fourier Transform for f (t) =A cos o,t, where o, = 2n fo %3D

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: We will find out the required value.