Sequences are generated by sampling a causal continuous-time signal u(t) (t z 0) at uniform intervals T. Write down an expression for u̟̟ the general term of the sequence, and caloulate the corresponding z transform when u(t) = sin 2t. z sin 2T z2 + 2z cos 2T – 1 z cos 2T z2 – 2z sin 2T +1 - z cos 2T z2 + 2z sin 2T – 1

Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: x(k)-3x(k-1)+2x(k-2)= e(k), e(k)= [1, k = 0, 1 0, k ≥ 2 x(-2) = x(-1) = 0

A: Given Equation:Here, The objective is to use  transform to solve the difference equation.Concept…

Q: The Laplace transform of L[2 sin 6t sin 3t] is 2s s2 + (3)2 s2 + (9)² s + (3)² s2 + (9)² | s2 + (3)²…

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

A: We have to solve given problem:

Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

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Q: find the Fourier transform of given signal x(t) = 1/(a²+t²)

A: Concept:

Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

A: We have to solve the given problem using Fourier transform.

Q: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: Laplace transform of 8(ta) is ea as True False

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: Determine the inverse Z-transform of X(z) Select one: akt xk = = (-2j) sin( 2 (2a)k-1 sin (47) 2 xk…

A: Inverse Z transform of the function

Q: 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)…

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Q: (3) A signal has Fourier transform as, 1 sinc (2w X(w) sinc + 2. Compute x(t)

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Q: Which of the following is True about the Fourier transform of the signal x(t) = u(t) — u(−t)? - X(w)…

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Q: Q6) (a) Prove that Fourier cosine transform of f(x) = cos(x), 1 sin 3(p-1), sin 3(p+1) p-1 p+1 +…

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3

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Q: Find the function with the transform 12e-4s î(s) = (2s + 1)²

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Q: Q3) Verify that the Fourier transform of the function [1-x|, |x|1 f(x)= a. Then Show that 2 sin u u…

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Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: Find the Fourier cosine transform of e-x.

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Q: The Laplace transform of L[2 sin 5t sin 4t] is

A: Laplace transform can be solved by using trigonometric identities and Laplace transform of…

Q: - Find the Fourier transform of the given function f(x)=x₂²x 0≤x≤ 2

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