2. Find the laplace transform of the following: а) у" + 2у "- у' — 2у %3D 4 + е2 Уо) 3 1, у (о) 3D 0, у"о 3-1 Ys Ans: s* - 6s? + 9s - 8 s (s-2)(s + 2s? - s - 2)

Q: Q1// Determine z-transform and the ROC of the following sequence X(n) = n-1 {(e)-0,5" 8(n – 1) *…

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Q: A) Determine the z-transform for (Choose one only) 1. x(n) = 6(0.6)" cos (0.2лn)u(n)

A: As per our guidelines we are supposed to be the first question only. Kindly repost the other…

Q: The ROC of the z-transform of a sequence x[n] is given as |z|<1. The sequence x[n] is O Finite…

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Q: What is the inverse z-transform of X(z)=- if ROC is 1-1.5z 1+0.5z 0.5<|z|<1?

A: In this question we need to find a inverse Z transform .

Q: For x(t) shown below, the Laplace transform is x(t) 2 1 2 4 e-2s e-4s +e¯3s e-2s e-4s +1 Option 1…

A: First we will write time domain expression for x(t) in terms of standard signals then we will use…

Q: What's the inverse Z-Transform of X(z) = z/ ((z - 1) (z + 2)) u(k) / 3 {1+ (-2)*} а. O b. u(k) /3 {1…

A: use partial fraction expansion to reduce the given function .  Then Apply Inverse Z transform to Get…

Q: 2. Determine the inverse Z-Transform of the following signals. 5z a. x(z) = 3 + 2z (z – 2) (z – 0.3)…

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Q: Q1. For each of the following signals, find the z-transform, its poles and zeros, and the region of…

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Q: · Find the inverse of Laplace transform s+5 , i) Re[s)> 3 ii) Re[sk! iii) I<Re[s< 2.…

A: To find the Inverse Laplace transform

Q: نقطتان )2( Find Inverse Laplace transform of X(s)= (0.2s+2)/((s-1)(s+2)(s-3)) for * ROC: -2<R(s)<1 4…

A: In this question we need to find a Laplace transform of the given signal

Q: Find X(z) and the region of convergence (ROC) for the signals below, Using Z-transform: 1. x₁[n]=…

A: Given data : X1n=12nun+-13nunX2n=-13nu-n-1+12nu-n-1

Q: Find the inverse z-transform of 1 = (2)X (1– az¯1)? |z|>|a| |

A: The inverse Z transform can be obtained using various properties of Z transform.  The given function…

Q: 5n x(n) = 3n+2 sin 6. u(n) a. Find the z-transform X(z) of the signal x(n). Simplify the answer to…

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Q: The invers Z-transform of the following signal: X(Z)= (0.2)^3 *(0.2)^-4 * Z^-4 /1-(0.2)^-1 Z is…

A: z-transform is a linear transformation from the discrete-time domain to the complex z-domain. The…

Q: What's the inverse Z-Transform of X(z) = 2 / (z (z + 1) (3z - 1)) 3u(k) / 4 {(1/3)*- (-1)*} a O…

A: Given that  X(z) = z2/(z(z+1)(3z-1))

Q: 2) Find the Z-transform of x(n) = e-0.1n cos(0.25n) u(n)

A: Find the z transform of given signal x(n) ?

Q: Q1// Determine z-transform and the ROC of the following sequence X(n) = n-1 {(e)-0.5" 8(n – 1) *…

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Q: A discrete-time causal signal x[n] has a z-transform as X(z) = (1+3z-2+ 2z-)sin-1(2). Find x[11]. 巴…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the following signal: 57 x(n) = 3"+2 sin(: n- Ju(n) 1.1 Determine the z-transform X(z) of…

A: Consider the following signal: x(n)=3n+2sin5π6n-π3u(n) 1. We need to z-transform X(z) of the signal…

Q: Q1/A/ Choose the correct answer: 1) Basically, poles of transfer function are the Laplace transform…

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Q: Question 1-) For each of the following z transforms, determine the inverse z-transform. (a) X(2) =…

A: The z-transform of a function x(n) is given by: X(z)=∑n=-∞∞x(n) Z-n The Z-Transform of 1αn u(n)  is…

Q: Use a PFE to determine x[n], the inverse z-transform, of 1. X(z) = 2< |z| < 6 1-8z-1+12z-2?

A: We need to find out inverse z transform of given signal.

Q: Find the inverse z-transform of X (2) = 1 (1-0.25z-¹)

A: Given: Xz=11-0.25z-1

Q: 4.8. y tour er 0, x(t) : t (a) Use the differentiation and integration properties in Table 4.1 and…

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Q: Solve the Z-Transform X (n) = u (n + 2) where n is greater than 0 or up to infinity

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Q: Find the inverse Z-transforms of each of the following expressions: 1 X(2) = V3 1- 2 (i) 4 1+z1 X(2)…

A: According to question: 1) Inverse Z transform is calculated as…

Q: Question 6 The Laplace transform (A Replaces all derivatives of a function to divisions by s B…

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Q: 1-Find the inverse z-transform, for the following signals (a)X(z) = 1– 2.5z-1 + 2z-2 +0.3z-3, 1…

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Q: Obtain c(0.4) and c(1.4) under the unit step input using the modified z-transform. (T=1) R(z) C(z)…

A: ZOH = 1-e-sTs =1-e-ss (T=1) C(z)R(z)=z1-e-ss.1s+1          = 1-z-1 z1s(s+1)          =z-1zz 1s-1s+1…

Q: 4- Find z_ transform for each of the following signal 1)x (n) = (n + 1)a "u (n ) 2 ) x (n ) = [3(2…

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Q: Q3: Determine the Z-transform and ROC of ( 1. x(n)= =(-)*[(u(n)-u(n-6)] 2. x(n)=2 2 ( 3 ) * u( -. 2n…

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Q: which of the followu te S-2 S-2 S2 S+2 2t %3D s+2

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Q: 2. Find the inverse z-transform of X(2) = : 1z|> 0.1 -0.1

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Q: H.W: Find the Laplace Transform of the following: 1. te-3t sin 2t 7. $ 10-11₂ -3t sin 2t dt eje 8.…

A: NOTE:  As per our company guidelines we are supposed to answer only first three sub parts. Kindly…

Q: Consider the following circuit: R L2 Vs L1 C V 1. Use the symblic math operations to find the…

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Q: Suppose a CT signal x(t) = 2[u(t-2) – u(t+1)] has a transform X(s). a) If Ya(s) = e^-5s *sX(s),…

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Q: Question 5 (a) What will be the inverse z-transform of the signal? X(z). where, X[z] = z –…

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Q: (c) The difference equation describing the input-output relationship of a discrete-time system is =…

A: Given data, Discrete-time system is un+1+3un = 8n,  with uo = 0

Q: sk 3 1. Determine the unilateral z-transform and ROC(Region of Convergence) of the following…

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Q: Determine the convolution of the signals by means of the z-transform. x₁(n) = (¹u(n-1), x₂(n) = [1 +…

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Q: Obtain c(1.4) and c(2.4) under the unit step input using the modifiedz-transform. (T-0.5) R(2) ZOH…

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Q: Find the Z transform and plot the region of convergence of x(n) 10 y(n) = (0) * u(n-1) + 50 n +(₁²)”…

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Q: A- Find the z-transform and the ROC for each of the following signals: i) x1(n) = {2,1,-3,4, 5, 6)…

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Q: What's the inverse Z-Transform of X(z) = z/ ((z - 1) (z + 2)) a. others b. u(k) /3{1- (-2)*} c. u(k)…

A: use partial fraction expansion to reduce the given function .  Then Apply Inverse Z transform to Get…

Q: Prob.31. Find the inverse z-transform of 3z X(z) = (1–z )(1 – 2z¬1 ) (i) If ROC : \zl > 2 (üi) If…

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Q: 1 Q3\ 1. Find the inverse Z transform of X(z) = 1-1.5z1 +0.5z² 2. For the Figure below (2), find the…

A: As per company guidelines we can solve only first question kindly post another question separately

Q: 6 Marks Question Math

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Q: Question 1 The z-transform of the function, ak can also be obtained by A None of these OB. dz 6C…

A: Z-transform is an analysing tool that is used to analyse the behaviour of signals and systems.…

Q: Find Inverse Laplace transform of X(s)=(0.2s+2)/((s-1)(s+2)(s-3)) for ROC: *-2<R(s)<1 4 2 e 15 u(-t)…

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Q: Q2) Solve the following difference equations: x(k+2) +3x(k+1) +2x(k)=0; x (0) =0, x (1) =1. Q3) Find…

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