3) Find the Fourier transform of the following signals L. x(t) x(t) + 3 + 2 -2 2 -1 -1 1 -2 using sine and cosine integral.

Q: The Fourier transform of the function f(x)=1 ; |x|<2, is 2 sin 2p (c) F(p)=. 2 sin 2p (a) F(p) = sin…

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Q: Find the Fourier transform off (x) defined by Example 6. 1, |x| a f(x) = sin s ds (ii) 00 sin sa.…

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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: The Laplace transform of L2 sin 5t sin đt) is 2+ (9)² 2+ (1) 교+(9)2 7+ (9)² 이 +(1) 구+(9)P

A: Thanks for the question :)And your upvote will be really appreciable ;) Second option is correct

Q: If the Fourier transform of u(x, t)=2 e 2"w then u(x, t) = 812 2t TT O b. 1. e 812 x² e Od. 2 412 e…

A: Given Fourier transform of ux,t is Fux,t=2e-2t2w2 To find ux,t

Q: 1) Find the Laplace transform of the following function: f(t) = e-12t (3 cosh (3t) — 3 sin(12t)) —…

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Q: 4) Find the Fourier transform (FT) of the rectangular pulse signal x(t) analytically by using FT…

A: Find the Fourier transform (FT) of the rectangular pulse signal x(t) analytically by using FT pairs…

Q: find the Laplace transform of the following. 1. 2t2+e-31(cos 2t+4 sin2t) 2. 3t2e-1+t4+5t

A: Laplace transform

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: compute the Fourier Transform of the signal given by the relation:  x(t) = [cos(2*pi*t) +…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: (a) Consider a continuous-time signal g(t) with its Fourier Transform as below: (2 sin(w) G(jw) =…

A: Given equation is, Gjω=1-e-jω22sinωω+e-jω3 We have a recttT⇒2AsinωT2ω Let, A=1, T=2 then…

Q: 5. The fourier transform of the function f(x)=eI, is 2 4- w? O b. 2 w? -4 4 С. w? - 4 Od. 4+w? 4.

A:

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: What is the Fourier transform of the following e-j10ntx(t)

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

Q: Find the Fourier integral representation of the following: |t| 1 (sin(at) () = {gin(r)

A:

Q: Find the Fourier transform of the following signals using sine and cosine integral. x(t) 1 -1 -1 1…

A: Given function from the graph is: fx=x+1 Fourier transform of a function fx is:…

Q: Find the Fourier transform for x[t] = at*u[t], |a| &lt; 1

A: Given function is,

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: 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: 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: Find the fourier transform of following signals a. x() = cos (2xf.1) b. x(1) = sin (27f 1) c. For…

A: Calculate Fourier transform of cos22πfct: Fcos22πfct=F122cos22πfct-1+1…

Q: The Fourier Transform of f(t) = ei100t – 2. cos(100t) is.... %3D Oa 4πδω+ 100) Ο Β 2πδί+100) Oc…

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

A: Given:

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: I the Fourier transform of f(t)= 3sin5t +4cosl %3D

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Q: Derive the following Fourier transform: cos (2Nfot +0) ½ [8 (f + fo)e® + & (f - fo)e® ]

A:

Q: The Laplace transform of (1+ sin 2t) is 1 a) 1 b) s* +4 1 d) s* +4 2 1 c) 2 ーナー 十- s² - 4 2.

A: Laplace transformation is used to find the solution of linear,constant coefficients ordinary and…

Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

A:

Q: Find the Laplace transform of the following 7- e-t sin² t 8- £f"(t) = tan-¹(¹), f(0)=2, f'(0)=-1…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

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: 1: Find the trigonometric Fourier of the triangular waveform shown over the interval (-TT, TT). x(t)…

A: Time period (T)=2π we have half -wave symmetry for each signal So, bn=0 For half -wave symmetry only…

Q: 1.) Give the Fourier transform of the function f. Sx ha x = [0, 1] f(x) = 0 otherwise.

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

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Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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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: t2, 0 2

A:

Q: Find the transform of the ff: a. by calculations b. by using table 1 1.f (t) = 5 sin 4t 2. f (t) =…

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Q: Find the Fourier transform of the given waveform. f(t) -2 -1 1 0 1 2 (s)

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Q: Show that d() = ñ[6(w − K) + 6(w + K)] is the Fourier transform of cos (Kt).

A: To prove dw=πδw-k+δw+k is the fourier series of cos(kt)

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

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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: It is given that the Fourier transform of f (t) = e-atu(t) is: F(s): a+jw' Determine the Fourier…

A: Determine the Fourier transform of gt=3e-4tut-2.

Q: Find the complex Fourier series coefficients for the signal x(t)= (sin(nwot))5

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Q: Find the z-transform of the following equations: b. cos(3n) + 2 sin(3n)

A: We need to find z - transform of , un = cos3n + 2 sin3n That is , zun = zcos3n + 2 sin3n zun =…

Q: Find the inverse z-transform of the following: z|2| sin 3 i. z-15 , z²-(2|2|cos 3)z+|2|2]

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…