Compute the Fourier transform of the following function: f (x, y) = e-(1x-y|+|x+y[)<+

Q: (a) Find the Fourier transform of the function g: RR defined by Ste-kt, for t > 0, g(t) = otherwise.…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the inverse Laplace transform of 1 F(x) S- s2 (s + 1)

A: If L[f(t)]=F(s), then f(t) is called the inverse Laplace transform of F(s).…

Q: si |x| < a 1. f(x) = [1 0 en otro caso ||

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Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

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Q: determine the inverse Laplace transform of F.

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Q: Find the Fourier transform of the given function. (a) f(x) = A(2x + 1). A(2x − 1)

A: As per the question we are given the function f(x) as : f(x) = Λ(2x+1) • Λ(2x-1) And we have to find…

Q: determine the inverse Laplace transform of F.

A: Given:

Q: ) Compute the Fourier transform of the function. (a) f(x) = h(x + 1) – 2h(x) + h(x - 1), where 1, if…

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Q: f(t) = u(t− 3)(t - 3)e-4t

A: In this question, the concept of Fourier Transform is applied. Fourier Transform The Fourier…

Q: f(x)= 23, X cosx x2 x2월 욀

A: This question is for Laplace transform not for inverse Laplace.

Q: 3. Find the Fourier Transform of a t < 2 a а f(t) = 1 %3D -- 2 < t Whose graph is shown below V t. V

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Q: (1, |t| a

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Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: Give the Laplace transform of f(x) = {₂-2, 3 ≤ x I x², 0<x<3

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Q: Determine the Fourier transform of f(t) = te-2t u(t), where

A: Given ft = te-2tut where ut =0     t&lt;01    t&gt;0 The Fourier transformation is given by Fw…

Q: у" - 4y %3D -7е2x + х;

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Q: )Find the fourier transform for the function: - 1<t <1 otherwise 1 f(t) = {, | %3D

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Q: 2. x(t) = e5t + cos 3t %3D

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Q: Compute the Fourier Transform of the following function (3 , –n < x < o (1 , 0<x< TI f(x) =

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Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

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Q: Find the Laplace transform of the below function 1-1 01 1 1-t2 1

A: The given function is  f(x) = 1-t2  0≤t≤10              t&gt;1 We know that the Laplace…

Q: Solve the Laplace transform of (1+e-t)2

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Q: -21 e * u(t) + e ª u(1)

A: The given function is    e-tut+e-2tut Let xt=e-tut and x1t= e-2tut

Q: 2)Find the fourier transform for the function 0 <t < 2 1 f (t) = {0 %3D otherwise

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Q: determine the inverse Laplace transform of F.

A: Let f(t) be the inverse Laplace transform of the given function  Take inverse Laplace transform on…

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

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Q: Find the Fourier transform of f (x) defined bv f x) = , a 10, > a and hence evaluate sin pa cos dp…

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Q: Determine the Fourier transform of the following: f(t) = {e/³t; -1<t<1 elsewhere 0,

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Q: a) Find the finite Fourier cosine Transform of f (x) = x² in 0 < x < 4.

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Q: Find the Fourier Transform of Sa? – x², for |æ| a f(x) = and hence deduce that (sin s- s coss -) ds…

A: Fourier transform of gx=1 for x&lt;a0 for x&gt;a is ∫-aa1.e-isxdx. Calculate it:…

Q: (a) Find the Fourier Transform of the function: f(t) = e, for t>0 and a > 0.

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Q: 1. Compute the Fourier transform of the following signal: x(t) = e-3|t| sin(2t)u(t)

A: Hint: The convolution theorem of Fourier transform states that, the Fourier transform of the…

Q: Give the Laplace transform of -2x 0Sx and x < 3 f(x) = 4 3<x -3s 27 20 O F(s) = -- b) O F(s) = - -3s…

A: Solution :-

Q: f(t) = cos² 2t

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Q: Find the inverse Laplace transform of: - s-3 i) F(s) = %3D (s-3)2+4 s-2

A: It is known that:

Q: Obtain the Fourier transform of the double pulse defined by f(t) ={ 1 ,1< or equal to x < or equal…

A: Fourier transform: The Fourier transform of function f is given by, F(ω) = ∫-∞∞f(t) e-ωjtdt. Given:…

Q: Find the Fourier transform of f (x) defined by |x| a f (x) = sin? ax ta and hence prove that x2 2

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Q: Find the Fourier transform of f(t) defined by: { t < 0 t 2 0 f(t) : te-4t

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Q: Find the Fourier Transform F(w) = {e-at t≥0 t≤0

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Q: Given x(t) = 5te-3 u(t), what is the Fourier transform of x(t)?

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

Q: Solve the Laplace Transform 8. f(x) = (2/x)(cos1/2x)

A: note : We will consider the given function as : f(x) = (2/x) cos(0.5x)   Now we have to find the…

Q: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

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Q: x(t)=1(t+4T)

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Q: Use the Laplace transform to solve x'-2y'=1;r'+y-x=0;x(0)=y(0)=0

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Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

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Q: Obtain the Laplace transform of t2 + 4t - 5.

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Q: Find the Fourier transform of f(t) = 5e-3|t|_ %3D

A: To determine the Fourier transform of the below function. ft=5e−3t

Q: Find the Laplace Transform of f -1 Osx<1 f(x) = 1 x21 2e-s 1 a. 2e-s 52 1 b. 2e-s 1 C. 2e-s 1 d. +

A: We find Laplace transform of given function