Determine the causal signal x(n) if its z-transform X(z) is given by: 1+3z-1 a) X(z) = 1+3z-1+2z-2

Q: Solve this equation by using laplace  y''+2y'+5y=e-tsin(t)   y(0)=0, y'(0)=1

A: According to the question we have to find the Laplace transform of the given differential equation.

Q: Sequences are generated by sampling a causal continuous-time signal u(t) (t > 0) at uniform…

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Q: Find the region of convergence in the z plane (if it exists) of the z transform of these signals.…

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Q: 2) Compute the inverse of the following Laplace transforms: s+3 a) X(s) %3D s(s+1)(s-2) s-2 b) X(s)…

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Q: 4. Determine the causal signal x(n) if its z-transform X(z) is given by: 1+3z-1 a) X(z) =…

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Q: 1. The final value of the time domain sequence associated with the following z- domain function.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1 X(z) = %3D 1-z-1+0.5z-2

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Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [e-2t +…

A: As per the guidelines I have to do a maximum of 3 subparts only so I request you to submit the…

Q: Determine the causal signal x(n) if its z-transform is given by 1+2₂-2 1+z=2

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Q: Refer to Figure below, use laplace Transform to; s1 50 80 V 0.25 F 1H 5.

A: Given circuit,

Q: Determine the causal signal x(n) if its z-transform is given by 1+2z-2 1+z=2 ° [2-(-1)"]u(n)…

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Q: Obtain the inverse z-transform of the function z+1 F(z) = z2 + 0.2z + 0.1

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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) 1 C{2)…

A: According to question:

Q: 4. Determine the causal signal x(n) if its z-transform X(z) is given by: 2-1.5z-1 c) X(z)…

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Q: 1+z-2 (b) X,(z) = 1+0.9z-1 + 0.81z-2 Find the inverse z-transform of the second-order system 1+z-1…

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Q: 1. Z-Transform is a convenient tool in designing, analyzing and representing digital signals. 2.…

A: Since multiple questions are present, as per the guidelines, only the first question will be solved.…

Q: • Determine the casual signal x(n) if Its z-transform X(z) is given by: 1 X(z) = -2 1- z-1

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Q: 1) Solve the given differential equation using Laplace transform. x" - 5x' + 6x = 6t - 4, x(0) = 1,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Q2/ solve the following equation using Laplace Transforms? 1") + 3f"(t) +2f)=0 where, f(0) = 1 and…

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Q: 3.14 Determine the causal signal x(n) if its z-transform X(:) is given by: 14 3: (a) 1 (b) X(2) %3D…

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Q: Show that a signal and its hilbert transform are orthogonal.

A: Using Parseval’s theorem: Here,

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: A- Find the Laplace trans form of x(t)- 3u(t)+e"u(t). B- Find the Z- transform of xin) 3" u(n)-4.2…

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Q: 1- Find the Laplace transform and the corresponding ROC of the following signals. a) x(t) = [e-2t +…

A: As per our guidelines we are supposed to answer only 3 sub-parts.

Q: a) Determine all possible signal having Laplace transform as below. s + 3 s(s + 1)(s + 2)

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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: 4. Determine the causal signal x(n) if its z-transform X(z) is given by: 1 b) X(z) 1-z-1+0.5z-2

A: Solution:- Given, Z-transform as Xz = 11-z-1+0.5z-2 to find x[n]

Q: Obtain the inverse z-transform of the function 1 F(2) = 2(z – 0.5)

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Q: The ratio of Laplace transform of output to Laplace transform of input under zero initial conditions…

A: The ratio of Laplace transformation of output to input under zero initial conditions is called…

Q: Find the inverse z-transform of the function F(z) = (z+ 0.1)(z+0.2)(z+ 0.3)

A: Given function F(z)=zz+0.1z+0.2z+0.3

Q: Solve the following Second order Ordinary Differential Equations (ODE) using Laplace Transform:…

A: Given y''-10y'+9y=10t y0=1y'0=-1 Taking Laplace transform…

Q: * =The inverse Z transform of X(z) shown below for ROC |Z| <1 is x(n) - 4:? + 5: X(2) = (: – 1)(2 –…

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Q: 4. Determine the causal signal x(n) if its z-transform X(z) is given by: 1+3z-1 a) X(z) %3D…

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Q: Consider the following signal: 5 x(n) = 3"+2sin( 1.1 Determine the z-transform X(z) of the signal…

A: Consider the following signal as given below: x(n)=3n+2sin5π6n-π3u(n) 1. We need to determine the…

Q: Problem 1: Determine the causal signal x[n] having the z-transform below: 1 X(z) = (1+z-1)(1 – z-1)2

A: The z transform of the signal is shown below:  Using the partial fraction,

Q: (B) Find the inverse Laplace-transform of X(s) given below using partial fraction method. s-1 X(s) =…

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Q: Solve the difference equation using Z-transforms Yn+3 – 3yn+1 – 2yn = 3", yo = 2, yı = 1, y½ = 6.…

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Q: Given the following LaPlace Transform pair (Ae + Be P) u (1) + s2+bs+c where A, B are constants, b…

A: Given:Ae-t+Be-pt u(t)↔L.T.1s2+bs+c

Q: A) 1. Use Laplace transform to solve the initial value problem y" +3y/ +2y = 6e, y(0) = 1, y(0) = 2.…

A: In this question we will solve given differential equation using Laplace transform.... Note: as per…

Q: Compare convolution of the following two signals using Time Domain and Frequency/Laplace Domain…

A: We need to find out convolution for sequence .we will use convolution property of impulse function ,…

Q: 10 Solve the following differential equation by means of Laplace transform: * + 4y (1) = -e-ªu, (1)…

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Q: lace transforms to solve the given differential equation %3D 16y = 10cos4x ,given y(0) = 3 and y'(0)…

A: The given differential equation is,  y'' + 16y = 10cos4x  Initial conditions :- y(0)= 3 &amp;…

Q: b) Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an…

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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: Use Laplace transform technique to solve , y"+3y'+2y = 0, given y(0) =1 and y'(0) = 0

A: Given values are - y''+3y'+2y=0d2ydt2+3dydt+2y=0y0=1y'0=0

Q: 1 2) x(s) = (s+a)² 1 3) x(s) s(s+1)

A: (2) Write the given transfer function and take its inverse Laplace transform. xs=1s+a2xt=te-at

Q: Find the Z Transform X(n) = {2, 4, 6, 0, 8, 10} take note an arrow is pointing towards 0

A: Given : X(n)={2,4,6,0,8,10} arrow is pointing towards 0 which means x(0)=0 we need to obtain the Z-…

Q: Obtain c(0.4) and c(1.4) under the unit step input using the modified z-transform. (T=1) R(z) C(2)…

A: The time domain signals can be continuous or discrete. The time domain signals can be periodic as…