3 1. Find the output (y(t)) of the following system by using the basic concept of convolution theory? x(t) 1 X(t) t 2 h(t) h(t) y(t)=?

Q: Problem 4 Compute the Laplace transform of v(t), when dv(t) a) + 6v (t) = 4u(t), v(0-) = - 3V dt…

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Q: 0 a₁ kyn d₂ Find /(t) for the following function via inverse Laplace transform and fill in the…

A: We need to calculate the inverse Laplace transform of given function

Q: Get the total response of the LTI system step input and initial conditions y(0) + 3 dy(t) d²y(t) dt²…

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Q: The system y(t) = [ 2(t+1)-5] [x1(t) + x2(t-1)] is: Select one: a. Nonlinear and causal O b. linear…

A: The solution is given below

Q: An iron wire with cross-section 3.8 x 10-° m? carries current 170 A. Find the drift velocity Va, in…

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Q: Obtain state-space representation for the system represented by the following differential…

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Q: Find the laplace transform.

A: In this question,  We need to determine the Laplace transform?  We know

Q: Design a circuit that satisfy the equation: Z(t) = [0.5M(t) + 4X(t)] + [9X (t) - 2Y (t)]dt, the…

A: To design a circuit such that it takes 3 signals X as inputs and gives  as

Q: 3. Given: Find the Laplace transform sin (t) [u (t) - u (t-271)] x (t) h(t) = [u (t + 2π) - uct)]…

A: Given Xt=sintut-ut-2π=utsint-ut-2πsint andht=ut+2π-Ut

Q: The convolution of x(t) and n(t) (shown below, A is 1 and B is 6) in the interval -6 <t < -5 is…

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Q: Compute and roughly sketch y(t) = x(t) * h(t), where x(t) = e[U(t) – U(t – 1)] and h(t)= 2U(t) –…

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Q: A system is expressed using the following differential equation d²y (1) dy (t) + 5. + бу () : dt dx…

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Q: Show that the system described by dr(t) y(t) = dt is linear and time invariant.

A: We neec to prove the given system is linear and time invariant . We will apply property of linearity…

Q: 2. Extending Test 2, Problem 2 to phasors, consider the circuit below: 6 cos 1000t V 661 L 759 279 4…

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

A: Here first we expressed the given signal in unit step functions then we Applied the Laplace tran

Q: (1)Find vo(t) for t 2 0. Using the method that applies the Laplace Transform to the circuit. 2 ohms…

A: A circuit is given in the question. We need to determine the voltage v0t for t≥0. It mentioned to…

Q: Solving Differential Equation using Laplace transform: dy(t)/dt +2y(t)=3u(t) Initial condition y(0)…

A: The objective of the question is to solve the given differential equation using the Laplace…

Q: Compute and roughly sketch y(t) = x(t) h(t), where x(t) = e[U(t) – U(t- 1)] and h(t) = 2U(t) –…

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Q: Question 2: Consider a signal x(t) which has its Laplace transform X(s). X(s) has four poles. The…

A: If a signal x(t) has an impulse at t=0 and its Laplace transform X(s) has four poles then what we…

Q: Find the response of the system [] x (t) where u(t) = t for x₂ (0) = 2, x (t) -0 u (t) t 20. The…

A: The question is about finding response of the system.

Q: Find the Laplace transform of the following signals (assume t > 0): a) v(t) = -7u(t), where u(t) is…

A: In this question,  Find the Laplace transform of the given signals.  Laplace transform of the Some…

Q: Find the output of the system described by the following differential equation when the input to the…

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Q: Solve the differential equation to find y(t) using the Laplace transform. d² y dy +2 + 2 y = u(t)…

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Q: Applying your knowledge of convolution and convolution properties, determine and then sketch the…

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Q: Find and sketch the derivative of f(t) = -(u(t + 4) – u(t))t+ (u(t) – u(t – 2))t. %3D

A: In this question we need to find and sketch the derivative of the given signal.

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: [2] For the signal y(t) = 8(t+2) + 8(t) - 28(t-2), obtain a sketch of the integral function fy(t) dt…

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Q: Compute and roughly sketch y(t)=x(t)* h (t), where x(t) = e t[U(t) – U(t– 1)] and h(t)= 2U(t) –…

A: In the question,  X(t) and h(t) is given where u(t) is step. Input Find the output y(t) = x(t)…

Q: 90. Use the convolution table & properties to determine an expression for y(t) = h(t) *r(t) for h(t)…

A: Using convolution properties we need to find output y(3) Convolution y(t)=h(t)*x(t) For h(t)=r(t+1)…

Q: Q1)a)Givenx(t) and h(t) as below find and draw y(t) X(t)=u(t) h(t)=-8(t) + 8(t – 4) b)Given h(t) and…

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Q: 15. If a(t) = u(t+1)u(1-t)- 2r(t- 3), then the generalized derivative of (t) is a. none of these b…

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Q: The step response of a time LTI system continuous is given by (1-e-t )u(t). For some unknown input…

A: In this question We need to determine the input if output is given.  We are solving this problem…

Q: 0 st2} a. By definition. b. Applying properties with the help of the unit step function

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Q: What is the differential of (u(t– 1) u(t + 1)) ? d | dt Multiple Choice 8 (1 – t) 8 (t – 1) 8 (t) 8…

A: Given  d/dt (u(t-1).u(t+1))

Q: 2 1.5 V(V) 1 0.5 0.5 1 1.5 t(s) 2 2.5 3

A: Graph of voltage and time is given as,

Q: 5. Figure 2 shows two signals, x(t)and g(t). Calculate and sketch the integral convolution of c(t) =…

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Q: Given two functions x(t) and h(t) as follows. Find y(t) = x(t)*h(t). h(t) -1 x(t) 0 -1 0 1

A: Given:we need to compute the convolution of x(t) and h(t).