Use the Table and convolution properties to find the zero-state response of a system with an impulse response of h(t) = e-tu(t) to the following inputs. Hint: if x(t) * h(t) = y(t) → x(t − t₁) * h(t — t₂) = y(t — t₁ - t₂). x(t) = 8(t-5) x(t) = etu(t-1) . ●

Q: K (S+1) S²(S+ 4) (S + 7)(S + 9) (S +12)

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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.…

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Q: 3) Consider the casual second-order LTI differential system described by d?y(t) dx(t) dy(t) +3- dt +…

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Q: use convolution to find y(t) = h(t) ∗ x(t)   h(t) = u(t) − u(t − 3) x(t) = u(t) − u(t − 4)…

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Q: Unit impulse response of a given system is C(t)=4ế +6e-2t. The step response for t≥0 is?

A: Given, Unit impulse response, Ct=-4e-t+6e-2t

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Q: Question #3 Find the output y(t) of a continuous time linear time invariant system whose input x(t…

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Q: If the step response of any system is given by e-2tu(t). Find the impulse response.

A: Step response= e-2t u(t) Impulse Response = d(step response)dt

Q: Q7: For the LTI system with impulse h(t)= 2u(t)- 2u(t-3): a- Find the step response of this system.…

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Q: For each of the following pairs of waveforms, use the convolution integral to find the response y(t)…

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Q: 4. The circuit below shows the same circuit as in problem 3 driven by a current source i(t). Assume…

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Q: The transform F(s) given below describes the response of a system to a unit step input: F(-) -s+5…

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Q: just c  don't use laplace just using conv sol and ty .

A: Output is determined and drawn as shown below

Q: Find the overall impulse response of the system below, where hy(t) = 2u(t-3). h₂(t)=3eu(-t). hs(t) =…

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Q: a) Find the inverse Laplace Transform of F(s) = ln () b) Evaluate the following integral using…

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Q: For the impulse response g(t) of G(s)=2/ (s+7) the value of g(t)= =infinity. * at t=0 and at t

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Q: 20 d. T(s) =+ 6s + 144

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Q: (a) If the phasor V = -2 + j 5, find v(t) in standard form (standard form is A Cos(wt +0) )

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Q: The input to a system with impulse response h(t) is x(t), both functions are given below. Find the…

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Q: 1. Consider a continuous-time response_h(t) = e¯tu(t+1). x(t) = u(t + 2) - u(t-1). linear time…

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Q: 2) A continuous-time LTI system has unit step response s(t) = t[u(t – 1) – u(t –4)]. The impulse…

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Q: Find the steady-state error for input of 5u(t) to the system below. The function u(t) is the unit…

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Q: A linear time-invariant system's step response is given by (1² + 1) u (1) . What is the impulse…

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Q: bi(t)-3u(t) h2(t)=e7u(t). h3(t) = 6(t-2) a. 3e-68(t-2) b u(t- 2)-e-3(t-2)u(t-2) C. none of these d.…

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Q: Find the value of f(t+1) * 8(t + 4) Select one: O h(t +3) O h(t + 5) h(t – 3) O h(t –

A: Answer: f (t+5)

Q: If the impulse response c (t) doesn't change sign, the system is over damped or critically damped.…

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Q: H(S) X(S) = 1 s+4 a. Find the output response in the time domain y(t) for t :3r b. First-order…

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Q: 3. Find the impulse response of the composite system if the two systems with impulse response hi(t)…

A: the impulse response of the composite system is determined as shown below

Q: Problem 3 We have studied CTFT in this course. A generalization of CTFT is Laplace transform. In…

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Q: The impulse response of a system is h(t) tu(t). For an input u(t-1), the output is = A B с D t² 2…

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Q: convolution integral,

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Q: The step response of a linear circuit is g(t) = 10[e10" sin(200t)]u(t). Find the circuit's impulse…

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Q: 4) Consider a continuous time LTI system whose step response is given by s(t)=et u(t). Determine and…

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Q: Find the value of h(t-1)*5(t-1), 6(t) being the delta function. ANSWERS h(t-2) h(t) h(t-1) h(t+1)

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Q: Consider the convolution of two signals (1),h(1) y(t)=e¹u(t)* Σ 8(t−3k) k= = Σ e¹u(t)* 8(t−3k) Use…

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Q: G(s) = 10(s+20) (s +30) s(s+25)(s +35)

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Q: The unit impulse response of a system is h(t) = e, t20 For this system, find the steady-state value…

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Q: For a closed loop system, the transfer function is 00 02 02 O ∞ 2 X(s) 3²+75 - What is the steady…

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Q: b) Find the step response for the system below P. dr2 (t) +5 7,v (1) +6(1)

A: We will find out step response by using of Laplace transform.

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Q: 3. The impulse response of a linear circuit is h(t)= u(t)-u(t-2). Use the convolution integral to…

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