The Fourier Transform of * x(t) = [u(t)-u(t-2)][u(t) – u(t − 1)] 8(t - 0.5) cos(2πt) - O exp(j0.5w) O -exp(-j0.5w) O exp(-j0.5w) O -exp(0.5w) O -exp(j0.5w)

Q: f(x) = 6e-xx-3.5

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Q: Calculate the Fourier Transforms of the following functions: 1, |x| 1

A: According to guidelines we  have to solve the  first  one question.

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

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Q: Find the Fourier transform 1-x, | x | 1 sin x Cos X CoS x Hence evaluate dx.

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Q: 4] Find the Laplace Transform of f(t) = { S-1 (-/= + 5 = /₁1) (1te - 1/₁1) (a) (c) S S - I (b) (d) S…

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Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Determine the Laplace transform of f (t) = 6e* +e* -9 O 16/s-5)] + [1/(s+3) - 19/s] O 16/(s+5)] +…

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Q: f(t) = {, - 2 2 -2

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Q: The Fourier transform of a function } (t) iš defihed by F(w) = f(t)e-jwtdt %3D a) Using the above…

A: The Fourier transform of a function f(t) is defined by F(ω)=∫-∞∞f(t) e-jωt dt 1) We have to find the…

Q: f(x) cos (at) if t 20 %3D 0 if t<0

A: Given: f(x)=cos αt if t≥0o if t&lt;0

Q: f(x) = [sin x if 0 T

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Q: Show that the Fourier transform of f(t) defined by: -3, -a < t < 0 3, f (t) = 0 <t<a Elsewhere where…

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Q: Find f(x) = f a-1x1 0 the Fourier a-1x1, Hence prove transform Ixl <a , Ixla that 1 (sin t t 0 2 of…

A: Given f(x)=a-x,x&lt;a i.e., -a&lt;x&lt;a                   =0,         x&gt;a i.e., x&gt;a, x&lt;-a…

Q: For the positive time sequence, the inverse Z-transform of X(z) shown below is: d d X(z) u(z) dz dz…

A: Given that Xz=ddzzz-1ddzuz To find the inverse transform of X(z):

Q: 5 - Calculate the Fourier transform of 100 – 5t 0 <t< 20 f(t) = otherwise

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Q: Find the given inverse transform (1) c{ (i) L-1 s2 + 6s + 1 1 1 (ii) L-1 |(s – 1)3 ™ s² + 2s – 8

A: The Laplace transform of a function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace…

Q: Prove that Fourier cosine transform of f(x) = cos(x), 0<x<3 is: 1/27 (³ sin 3(p-1), sin 3(p+1) p-1 +…

A: Introduction: A Fourier remodel (FT) is a mathematical remodel that decomposes features relying on…

Q: The function f(t) has a Fourier transform e P[f](w) = **ƒ(6 F - from the below list ○ F[f](w) = e =…

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Q: State the definitions of direct and inverse Fourier transforms. Then, compute the Fourier transforms…

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: a. Find Fourier transform for the following function l(x): -1 15 |(x) = {". (Hint: \r| =r for r> 0,…

A: The given function is  l(x)=1 if -1&lt;x&lt;10  if |x|&gt;1 We know that the Fourier transform of a…

Q: Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21]…

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Q: u)n(p+u°О

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Q: Find the Inverse Laplace Transform of the following functions A) 1 F(s) = Ans. f(t) =1-e s* +s 1(…

A: The Laplace transform of the function f(t) is denoted by L(f(t)) or F(s) and defined as…

Q: Calculation: Rewrite the given function. Y [s] = 2s+3 s²+s+1 2s+1+2 e

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Q: Q1) using Fourier transform find x(t) below x(t) = [e-3tu(t) * e-6*u(t)] dt

A: Solution is given below

Q: Find the Fourier Transform of Hence Prove that f(x): cos(sx) + Ssin(sx) 1+s² -ds = x 0 OEIN 0 2 Tex…

A: Introduction: Through Fourier transformation, a real-time function can be converted into a complex…

Q: Find the following Z-Transform x₁ [n] = (0.8)" •

A: note :  Since you have posted multiple questions, we will provide the solution only to the first…

Q: The Z-Transform of x (n) = e -3(n-4) cos(0.17 (n- 4))u (n- 4) Where u(n-4) = 1 for n 24 while u(n-4)…

A: So we have to calculate the Z-transform of the function x(n)

Q: Show that the Fourier sine transform of the function 0 < x≤1 {:- 1-x 1 ≤ x ≤ 2 2≤x is given by 2 sin…

A: I think the given answer is not correct.

Q: (2) Compute the Fourier integral representation for the function f(x) = x² for 0< I< 27.

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Q: 0.x 1

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