6.- Perform the convolution in continuous time x(t) = r(t)(u(t + 3) - u(t-5)) with h(t) = e2t (u(t + 4) - u(t - 7))

Q: 25 kN 100 k2 + 20 µF Vy VC vic Vz = [10 · u(t – t1) – 5 · u(t – t2)] V Vy = [-10 - u(tı – t) + 5 ·…

A: This question is having 2 voltage sources and those are shifted step functions so we have to…

Q: (c) Suppose f(t) = u(t – 2) and g(t) = u(t + 2). Using the convolution integral, derive an…

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Q: 1.20 Generate plots for each of the following step- function waveforms over the time span from −5 s…

A: Given three signals with different subsignalsasked to plot in the time frame of -5s to 5s

Q: Convolve the following: u(t - 2) * u(t + 4) * 8(t – 5 O a. u(t - 5) O b. r(t - 5) O c. r(t + 3) O d.…

A: In this question We need to choose the correct option.  We are solving this problem using the…

Q: R1 4ohm R2 + ↑ 1ohm 5u(-t) A v. 0.5F 2H +

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Q: Consider the signal: x(t) = exp(-rt) cos(t) u(t) where u(t) is a step function. The signal x(t) will…

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Q: The result of: u(t) * 5u(t) * 8(t – 3) + 28(t +3) * 28(t) is - Select one: 5u(t - 3) + 48(t) 5u(t –…

A: Solve the convolution signal using the Delta property.

Q: ! Required information Consider the CTET pair. F u (t + 5) – u (t – 7) → A sinc (bf) eicf The…

A: In this question,  Find the Fourier transform of the given signal f(t)=u(t+5) -u(t-7)   ?  Find the…

Q: What is the steady-state error when r(t) = u(t) (unit-step) and w(t)=0

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Q: Define and plot the piecewise continuous function x(t) shown below in MATLAB. t 3

A: The given function x(t) is Now, create a MATLAB script, and write the provided code. And, then RUN…

Q: Let u(t) be the unit step signal and • denotes convolution operation. Prove the following (show all…

A: L.H.S.=2tut*t+1 ut          =2tut*tut+2tut*utyt=∫-∞t xγ ht-γ dγ∴ y1t=∫0t 2γ t-γ dγ           =∫0t…

Q: *2. Find the convolution of the following two signals manually (using graphical sketch and…

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Q: he result of: u(t) * 5u(t) * 8(t-3)+ 25(t - 1) * u(t +3) is elect one: 5u(t – 3) + 2u(t+ 2) 5(t-…

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Q: The graph of continuous time signals is given below. Calculate the following convolution integrals…

A: Given: Continuous time signals,  To find: We have to find and plot the following convolutions: a)…

Q: The convolution below; Draw the result (convolution) (u (t) is the unit step function). 10 (u (t) -…

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Q: For x(t) = u(t) - u(t - 3) and h(t) = u(t) − ?(t - 2) signals a) Sketch and label x(t), h(t), and…

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Q: Question 6 Determine and sketch y(t) = x(t) h(t) for the functions shown below. x(t) = sin(nt)…

A: x(t) = sin (πt)[ u(t)-u(t-2)] h(t) = u(t-1) - u(t-3) We need to find convolution of x(t) and h(t)…

Q: Generate plots for each of the following functions over time span -4s to +4s  x1(t)= 5r(t+2)-5r(t)

A: Given: x1(t)= 5r(t+2) - 5r(t) To do: Generate plot for the above mentioned function over time span…

Q: Write the following differential equation in S or D -operator form x(t) + r(t) = 2x(t)

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Q: Graph the following piecewise function and determine its Laplace transform. Show complete solutio

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A: We need to draw the given signal .

Q: Compute the convolution t* 8(t – 6). You may use any technique you like.

A: Convolution of any function using impulse function produce the same function with some changes.

Q: Compute the convolution between signal F(t) and G(t) by shifting F(t), i.e., use the following…

A: Computing the convolution between signal Ft & Gt by shifting Ft :Yt=Ft*GtYt=∫-∞∞ Ft-τ Gτ dτLet,…

Q: Using convolution, find the response of the following system: x"+4x=F(t) F(t)=cos2t+3, 0<t<T = 0…

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Q: u(t). -6 -5 -4 -2 -1 흩 4 2 0 -1 0 2 3 4 t Homework 2 5

A: Here the basic properties of signal system are applied to solve it.

Q: state-space equation

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Q: t = 0 R b a + io ) 45 A R R 10 mH3 vo + 240 V

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Q: Q2) Sketch the following waveforms a) V:(t) = Su(t+2) + 8u(t) - 6u(t-4) b) V2(t) = 50e 200 c) V:(t)…

A: question is basic.

Q: Sketch the following function (Please draw well) x(t) = -2u(t+1) + 3u(t-1) + u(t-2) - 2u(t-3)

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Q: 8. A continuous time signal is shown in Figure. Find (a) x(-t) (b) x(t – 2) (c) x(-t+2) x(t)+ 2 -3…

A: A continuous-time system(CTS) is one in which continuous-time input signals are transformed into…

Q: Draw the CT signal x(t) = u(t+2) + 2r(t) - u(t-2) for the time period -3sts 4. NOTE: r(t) is a CT…

A: u(t+2)  = Unit step signal of amplitude 1  2r(t)  = Ramp signal of slope 2    -u(t-2) = step signal…

Q: . Given x₁(t) = u(t) — u(t – 4) and x₂(t) = e-¹tu(t — 2), compute the following convo- lutions and…

A: Given: x1t=ut-ut-4 and  x2t=e-4tut-2 Required: a x1t*x2tb x2t*δt-1

Q: The convoluti on [u(t) - u(t-1)] Ⓒe-at 8(t) O(u(t)-u(t-1)) exp(-at) Ou(t) Ou(t)-1 O 1 u(t)-u(1-1)

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Q: Know how to analyze a circuit in the s domain and be ableto transform an s-domain solution to the…

A: a) Consider  the equation, i2=1.25e-t-1.25e-3tu(t) A To determine the derivative of i2 with respect…

Q: Sketch the following continuous time signals. 1. x(t) = u(t-1) + u(t-2) 2. x(t) = 2u(3t - 9) 3. x(t)…

A: We need to draw the following signal ,

Q: Determine the Laplace (frequency domain) expression for Ve in the RLC circuit below. The input is a…

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Q: Example 1: Apply Routh's stability criterion to the following third order polynomial: s* + 2s3 + 3S²…

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Q: c) Given x(t) = 4r(t + 2) – 4r(t) – 4u(t – 2) – 4r(t – 4) + 4r(t – 5) - Find and sketch y(t) = x(2t…

A: we need to find and sketch y(t)