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) = 0 for n < 4 %3D (z - 0.0474) X (z) %3D z2 – 0.0948z+ 0.0025 X (z) = z – z (n – 4) 3 22 – 0.1z X (z) = %3D z3 – 2z2 + 0.0025 -

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Q: (C3, CO2, PO1) (b) Solve the discrete-time Fourier transform of the signal x(n) = 4(2")u(n) and find…

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Q: x(t) e-a'u(t), a > 0 (п — 1)! Is the reliable given x(t) the product of the Fourier transform? NOTE:…

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Q: 7. F(t) = [sin (t -) - cos (t -)u (t -) | 8. F(t) = 8 sin cos t 9. F(t) = cos cos (; – bt) - bt), b…

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Q: Find the inverse Laplace transform of F (s) 4 F(s) = s²+12 s+52 a. f(t) = e-6 (6 sen(4 t)+cos(4 t)…

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Q: (a) Compute the integral 7² ſ tri(t)e¬j¤tdt [Hint: Fourier Transform.] use Fourier transform tables…

A: Since you have asked multiple question.As per Bartleby's rules I will answer only first question.If…

Q: Use the Laplace transform to solve the given initial-value problem. y" +9y' = 8(t− 1), y(0) = 0,…

A: The initial value problemFrom the Laplace transformFrom the initial values

Q: The z-transform of x(n) is X(z) = 1 + 2z-1. Find the z-transform of (1/2)"x(n – 2). 0.33(z2 -z) b.…

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Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…

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Q: dw Let w = cos(6x – 6y), where × = r* and y = 3. Find A o dw = 18sin(6r* – 18)r³ dt O dy =…

A: Answer is Option b is correct Explanationo the solution is given below...

Q: Find the Laplace Transform of h(t) =t² sin(2t) 4s2 –3 A H (s) (s²– 4) 3 3s2 – 4 (B) H (s) = (s²+4) 2…

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Q: The periodic function T(1) obeys T(x+2) = T(x) and |I| 0,n>0 mn= cos(mr) sin(nx)dx □ Σmn Smn²in²n =…

A: Given:  Tx=Tx+2π Tx=1         0≤x&lt;π-1     π≤x&lt;2πIts Fourier transform is given by a0=0,…

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: ) 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: Transform: F (s) 18-16 s²-08-13 Of(t) = 4e 3 sin2t – 4e-3t 31 cos2t O f(t) = 4e³t cos2t 4c sin2t O…

A: Given: F(s)=4s-16s2-6s+13 To find the inverse Laplace transform.

Q: Given the difference equation y(n + 2)- y(n + 1)- vln)=x(n), n20 [1, n20 with x(n)= and initial…

A: Given: To apply z transform to both sides of the equation and find the expression for Y(z)

Q: What is the first element of z?

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Q: What is the Laplace transform, Y(s) for 3y" + 2y'-y 5 where y(0) = y'(0) = 0? %3D a. (3s-1)(#+1) b.…

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Q: Evaluate the inverse Laplace transform s+8 ~²{; 4s + 29

A: The function is .To illustrate the inverse Laplace transform for .

Q: 13. Let the function f (x) be 2n-periodic and suppose it is represented by the Fourier series: f (x)…

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Q: Given that F[f (t)] =(j /@)(e¯J® – 1), find the Fourier transforms of: (a) x(1) =f(1) + 3 (b) v(1)…

A: Since you have asked a question with multiple subparts so as per guidelines we will solve the first…

Q: 6. Given a Z transform 2-1 X (z) (1-z-¹) (11.4z¹+0.482-2)' determine the initial and final values of…

A: Given: Xz=z-11-z-11-1.4z-1+0.48z-2To find: a) xkk=0 and xkk=∞              b) Inverse Z-transform,…

Q: (27) Consider the piecewise function f : [-L, L] –→ R given by Ja + L, if – L <x < 0 f(x) : x*, if 0…

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Q: 3. a) Find the Fourier transform of g(x) given that g(x) = 3e¬4|x+2| b) Using the formulas for…

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Q: (a)x - x = 2t x(0) = 1 x(0)/ = -2

A: As per the policy of bartleby the provisions is to solve only one question at a time

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: The Fourier integral of the function f(x) ={ x(x - 1) ,-n n) is given by f(x)~ " (A(a) cos(ax) +…

A: If integrand is odd function and range of integral -a to a, then value of integral will be zero.

Q: Q.3 (a) If F(a) = F{{(x)} is the Fourier transform of f(z), then show that F{f(ax - b)} = Ja where a…

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Q: Use laplace transform to solve the initial value problem: 3rd order IVP : 11 y + 24" y' - 2y = sin…

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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: 5. 2y"+3y"-3y'– 2 y = e',

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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: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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