1. Find the Fourier transform of the function h(t) 4 -+ 2e-nt2 - ei4nt

Q: 40. Find the inverse Fourier transform off (p) = e¯ ™ Y.

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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: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: Find the inverse Laplace transform of F(x) = 4s^2−2s+2/(s2−4)(s)

A: The inverse laplace transform of F(s)=4s2-2s+2s(s2-4)

Q: 1. Calculate the Laplace transform of the function 2. 1-t when 0 <t < 1 when 2 <t<3 everywhere else…

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Q: 1 The Fourier transform of [e 2 x(t + )] is jt 1 jn( f- X(f)e#ft X(f – e"(s-±) 4 t A. O . A.…

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Q: Find the Fourier transform of ƒ (t) = 2 for -T≤t≤0 2 for 0 ≤ t ≤T

A: We have to solve given problems:

Q: 3) Find the Fourier transform of the following signals L. x(t) x(t) + 3 + 2 -2 2 -1 -1 1 -2 using…

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Q: Find Fourier transform for f(t)=t^3-2t

A: Given function f(t)=t3-2t. To find Fourier transform of f(t). By property of Fourier transform,…

Q: 2. Find the Laplace transform of the ff. a. t cos 3t b. e

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Q: Q3// Find the Fourier transform of the function t<-a f(t) = - 1 - a <t < a a <t

A: The Fourier transform is an integral representation of a non-periodic function that is analogous to…

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: 3. Find the Fourier transform of the following: f(t) = {te-t -1<t<0 elsewhere

A: We have to find the Fourier transform of the given function.

Q: (A) Find Laplace transform of the function : f(t)=1 sin(2t+) cos(21-7)

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Q: ) Determine the complex exponential Fourier transform for the following periodic signal shown. x(t)…

A: To find : Complex exponential Fourier transform for given signal

Q: 8. Find the function whose Fourier sine transform is the following function. S[u] - 2 0 x = [1, 2],…

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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: Find the Fourier transform of 1 t<- 2 f(t) ={ 1 2 1/2

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Q: 2s3+ 4s²+1 F(s) = (s²+ 2s+17)(s²+ 4s+20)

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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: 5. Find the inverse Laplace transform of the function as +b H(s) = (s – a)² + B²' -

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

A: Calculate Fourier transform: Fu,v=∫y=-∞∞∫x=-∞∞fx,ye-2πjux+vydxdy…

Q: Compute the Fourier transform of the following signal: x(t) = e-31e|sin(2t)u(t)

A: The Fourier transform of the function x(t) is represented as X(w), it is defined as ∫-∞∞e-iwtx(t)dt,…

Q: of the function. 4. Find the Fourier transform of of 1/(1+t²).

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Q: 4. e2t+a(2 cos at – 3 cosh 2at) -

A: It is given that the function ft=e2t+a2cosat-3cosh2at. We have to find the Laplace transform of ft…

Q: 2) Find the (complex) Fourier transform of 1-2, if r| S1, F(z) 0. if |피> 1, I COS I- Sin z and hence…

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Q: (c) Compute the inverse Fourier transform for the function ={ Is| 4 -s, F(s) 0,

A: The given function is  F(s) =        - s             |s|&lt;= 4         =           0.…

Q: Find the Fourier transform of -et +2 cos(t). (a) -27 8(w+ 1) (b) 2n 8(w + 1) (c) -27 8(w- 1) (d) 2n…

A: To solve this problem we use the following the results and formula:

Q: 4) Derive an expression for the x(t) and Determine the Fourier transform of the signal x(t) shown in…

A: Given:

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

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Q: Determine the Laplace transform of e-2"cos/3t – t²e-2 3+2

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Q: Find the Fourier Transform of Sel2t -1<t<1 f(t) = {e1²t 0 elsewhere

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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: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

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Q: 1. Consider the function [x-1, f(x) = 0, (1.1) Find the Fourier transform of f(x). if 0 ≤ x ≤ 1,…

A: For part 1.1, we are given the function f(x)=x-1,           if  0≤x≤10,                  elsewhere…

Q: ve an expression for the x(t) and Determine the Fourier transform of the signal x(t) shown in Figure…

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Q: 2. Compute the Fourier Transform of f(x) = e¬ax²

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Q: x(t) 2 -1 -1 1 -2

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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: 5. Find the Fourier Transform of the given signal and plot its frequency spectrum. x(t) = 2 e"u(-t)

A: The given signal is defined as x(t) = 2 e3t u(-t).The Fourier transform is defined by F(w) =…

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: 3. Determine the Fourier transform of the following: f(t) = {el³6 0, -1 < t < 1 elsewhere

A: Fourier transform of f(t) F(f(t))=∫-∞∞f(t).ejstdt given function f(t)=ej3t-1&lt;t&lt;10elsewhere

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

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Q: Find the Fourier transform of the given function. 2A -T f(t) ==t+ A, ²4t+ ≤ t ≤ 0; T 2 2A f(t) = -t…

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Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

Q: f(t) = 0, -1 <t<1 elsewhere

A: Given,         f(t)=ej2t, -1&lt;t&lt;1   0,  elsewhere

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: 5(a) Find the Fourier transform for the following function: f(t) = {e-31 0 . t> 0 ,elsewhere

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Q: (1 1<t<3 f(t) = 0 otherwise

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