1. Given x(t) and h(t), find y(t) = x(t) * h(t) x(t) = 2u(t)- 2u(t-1) h(t) = 3u(t)- 3u(t - 2) * u(t) is a unit step function u(t) = {1/ t≥0 otherwise

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

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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: Express the signals shown in terms of unit step functions

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. Find the convolution y(t) of x(t) and h(t); that is y(t) = h(t) * x(t). x(t) = 2u(t), h(t) =…

A: given the signals x(t) and h(t) and asked to find y(t) which is the convolution of x(t) and h(t)

Q: It is given that f(t)=4t2 over the interval –2<t<2 s. Is the function even or odd?

A: Analytically f(t)= 4t2

Q: Find iL(t) and V1(t) for t > 0 in following circuit. t = 0 of 12 N w + 10 v (+ 4 A (1) v;(t) (1)'a…

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

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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: Use convolution to find the system's output y(t) for -1st≤ 2 with x(t) = 5[u(t-1)-u(t-3)] and h(t)…

A: Given:Input to the system having impulse response h(t) as, To find:Using convolution find the…

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: 20 N t = 0' 60 V 31.25 µF vo350 mH R = 20 N, L= 50 mH, C = 31,25 µF

A: ELECTRICAL NETWORK: When addressing a circuit problem or constructing a balanced circuit, the word…

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: Find the value of f(t) at t = 3 if s²+x (s+2) (s²+2s+6) F (s) = 500 Given that x = 3.

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Q: t = 0 12 Q 8 2 5 A ww- i(t) 2 H

A: Source free RL network with multiple resistance Use standard current decaying equation

Q: Using convolution integral to find convolution of y(t) = f(t)*g(t), where f(t)=3u(t) and g(t) =…

A: We need to find out the convolution of given signal .

Q: Question 2 [C4, CLO2]: Compute the convolution y(t) = x(t) * h(t) of the following signals: x(t) =…

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Q: Consider the functions x(t) and h(t) shown below. Calculate y(t) x(t) h(t) for 1 < t < 2. x (t) h(t)…

A: We need to find out convolution for given signal.

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: For the circuit in the figure, determine the response of i(t), valid for all t, if at t=0+, the…

A: An RLC circuit is excited by two sources: a 10 V constant voltage source and  A current source.We…

Q: Q3. Determine the Laplace Transform of these function: (a) f(t) =(t-4)u(t-2) (b) g(t) = 2e-4tu(t-1)…

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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: Find the final valu e of the finction using final value theorem 2. S(S+2)(s+4)

A: Laplace transform is used to convert time domain function in to frequency domain. Some 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) -…

A: In the question, What is output y(t) if x(t) is given and h(t) is given.  We are solving this…

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

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Q: 1) Create the state table 2) 2) Find A((t+1), B(t+1) and Y(t_ 3) Draw the circuit

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

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Q: i,(1) 2H 10 20 4u(t) v (+ Oeu(t) A 1F: 10 Figure 1

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Q: Consider the functions x(t) and h(t) given below and find y(t) = x(t) + h(t) by evaluating the…

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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: Use step functions to write the expression for each of the functions shown.

A: Given:  To write the expression for the given graph:

Q: For the circuit shown, find v(t) for t>0 +1 100 mF t=0 + v (t) 10 92

A: At t=0-, just before the switch is closed, the circuit is shown below:  Vc(0-)=vs Using the…

Q: Given that x(t) = 3[t + 3]u(t + 3) – 6[t + 1]u(t + 1) + 3[t – 1]u(t – 1) + 3u(t – 3). Find and…

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Q: d)Given x(t) and h(t) as below , find and draw y(t) x(t) = 28(t) + 28(t – 1) + 28(t – 2) h(t) 2 2

A: Solve for y(t) as below

Q: The signs x (t) and h (t) are drawn below. Accordingly, calculate y (t) = x (t) + h (t) by showing…

A: Convolution of a function x(t) is defined as: x(t)=∫-∞∞x(ζ)h(t-ζ)dζ Convolution refers to common…

Q: Question 11: Let x(t) = u(t-2)-u(t-4) +5(1-6) and h(t)= eu(t). Compute y(t)= x(t) *h(t).

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