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: What is the value of 2r(t+3) - 2r(t-2) at t = 3s?

A: In the question, ramp function are consist  r(t) = t if t>0       = 0 if t<0   Value of the…

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

A:

Q: a1(t) = 3[u(t) - u(t – 1,9) x2 (t) = 4|u(t) - u(t – 3, 2) Find z(t) = x1 (t) * x2(t).

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Q: The output of a linear system to a unit step function u(t) is te 2t system function H(s) is u(t).…

A: Given: A linear system with

Q: b)find the following convolution y(t)=u(t) * 8(t - 3) – u(t - 4) * 8(t + 1) * теаns convolution

A: We have to solve the question by convolution.

Q: Find the value of the given integral. So" (-2e t u (t) + 95(t))dt -3t The value of the given…

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Q: Given F(s) = s+3 (s+1)(s²+4s+5) a) Use the initial and final value theorems to determine lim f(t)…

A: Given transfer function is Asked to find the,Initial and final value theorem,Plot the pole zero of…

Q: 4 c)Find the total energy of the signal x(t) =- (t²+4)

A: We know the formula for energy . We need to solve integration of square of given signal.

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: 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-…

A:

Q: using proerties, Find F.T

A: Given function

Q: Q13. Convolute the following: x(t) = u(t)- u(t-5), h(t) = u(t)-u(t-2).

A: X(t)=u(t)-u(t-5) h(t)=u(t)-u(t-2) We need to calculate output signal using convolution.( Graphical…

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

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Q: Find the root locus for following the T. F

A: In this question,  We need to draw the root locus of the given transfer function.

Q: Using the Convolution Integral, find the convolution of f(t) = e-t and g(t) = sin(t)

A: Given data: f(t)=e-tg(t)=sin(t)

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: A system is described by dy(t) +3y(t) = x(t) where x(t) is input and y(t) is output. dt Then the…

A: Given system is - dytdt+3yt=xt

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

A: Given expression is Asked to find the transfer function by using S operator or D operator.

Q: The step response of an RLC circuit is described by d²i di +2. +5i=10 dt dt² Given that i(0) = 2 and…

A: The step response of an RLC circuit is described byd2i(t)dt2+2di(t)dt+5i=10…

Q: Sketch the signals f(t) and g(t) and graphically find their convolution c(t) = f(t)**g(t). f(t) =…

A: Step 1: Step 2:

Q: x(t)=e*18t(u(t-8)-u(t-18)) h(t)=t(u(t-8)-u(t-18)) find y(t)=x(t)*h(t) using convolution integral.

A: For a linear time-invariant (LTI) system, the output y(t) is related to the input x(t) through…

Q: (2) For the circuit below, find and vc(t) and i(t) for all t. 4 – 3 u(t)( www 1 Vc 10 + 10 i 7 10 -H…

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Q: G52 0.25 FV

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Q: EENG226 SIGNALS AND SYSTEMS Please please I'm begging you help me in this problem ALL thank and…

A: clc;clear;                                                      subplot(2,2,1);t=-10:0.001:20;…

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: S(t) = e-2|t| t0 s(t) = {e- t ²

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Q: In the following circuit determine i (t). First-order differential equation.

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

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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: Sketch x(t)=(-t+2)[u(t)-u(t-2)]

A: mathematical representation of the waveform:-the number of steps is equal to the number of…

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

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Q: Find the complete Response of the Capacitor Voltage for t>o Don't use Laplace transform d²Uc df² +4…

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Q: 1 (s + V2)(s – V3)

A: In this question,  Find the inverse Laplace transform  of the given signal 1/(s+√2)(s-√3)

Q: Which of the following does represent the state equations A(t +1) and B(t+1) in terms of A, B and x…

A: Solution :    Here they have mentioned the the sequential circuit.   First of all we have to write…