Consider the following system: z(t) X{t) Y(t)

Q: X(t) and h(t) as bélow na y(t) x(t) h(t) Sin( 0.5 TT t) 1 2 4 4

A: Here it is asked to get the output response when input response and the impulse response has been…

Q: find the solution of the differential equations д-чў+цу-о given that y(0)=3, J (0) = 4

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Q: 13u(t) A 6Ω Μ www 0.4 F 1Η m Μ U(1) Σ20 Ω 6Ω 1+ 39u(t) V

A: we need to determine the response of v(t), valid for all t for the above circuit

Q: X(t) 2 1 -1 1 2 3. plot x,(t). 4. plot y (t) =1+x (1-4).

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Q: 5. Calculate the inverse Laplace transform y(t) for the following function. The result should not…

A: Step 1: to simplify inverse laplace transform ,we used here shifting property of Laplace transform .

Q: Plot the indicated product g(t) of the functions below. X g(t) Multiplication

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Q: If: 1<t<2 ] - 2 <t< -1[ t+1 x(t) = lt otherwise find: x(t – 2)

A: Let x(t-a) be the time shift of a signal x(t) by a. If a is positive, then the shift will be in…

Q: FIND i(t),t>0 2 k 6k i(t) 4 k ZV 100 F

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Q: Solve the following differential equation using Laplace Transform: y(0) 1, y'(0) = 0 %3D y" + 3y' +…

A: Given differential equation is, y'' + 3y' + 2y = 5(e^t) And , y(0)= 1 &amp; y'(0)=0

Q: A) Solve the circuit using the Laplace transform in the network find io(t),t>0 applying mesh…

A: Refer to the given circuit, redraw the circuit in Laplace domain as shown below.

Q: termine for the current i(t), the voltage across the capacitor vc(t) for t >0 by using Laplace…

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Q: If tER where R represents the set of real numbers, then x(t) will be a continuous-time signal Select…

A: Choose the correct option.  The given Statment If t€R where R represent the set of the real number…

Q: 2. Find the output y(t) of the given systems with the given input. h(t)= e¯²¹u(t),h₂(t) = e¯¾u(t),…

A: given here a block diagram and asked to find the output y(t).we know the some properties of…

Q: Q1/ For the circuit shown, find i1 and i2. Take Vinitial = 0, Use Laplace transform %3D

A: As per the guidelines, we supposed to answer one question at a time so please ask other questions…

Q: What is the correct expression for x(+4) when t ; between -6 and -3?

A: In this question, we need to determine the expression of the x(t/3+4) between -6 to -3. We solve…

Q: 20. Find the inverse Laplace transform of X(s) D %3D (s²+a²)² a) t sinat b) t sinat 2a )t cosat d) t…

A: Option B is correct. The detailed solution is provided below.

Q: Laplace function of question on photos

A: The given signal isWe need to find the Laplace transform of f(t). i.e F(s).

Q: t > 0 for the circuit below 1 kQ 1 k2 t=D0 10 V v1(t) =1/6 F vz(t)=1/16 µF

A: The given circuit is shown in the figure below: To find: v1(t) for t&gt;0?

Q: Using Laplace transform, find io (t) for t>0. 4u(t)v+ 102 1F 1H 20 ww 102 e¹u(t)v io(t)

A: For the given circuit, it is asked to find the current io(t) for t&gt;0 using Laplace transform

Q: a) Inverse Laplace of the following s function: 1 i) ii) F(s) = e-ss те SA F(s) = 1 (s+3)³ لاد e

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Q: 21) Sec a) Assume that a voice channel occupies a bandwidth of 8 kHz. We need o multiplex 10 voice…

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Q: Determine the z-transform via convolution property: X₁(n)= [1, -2, 1] 1, 0≤ n ≤ 5 X₂(n) = 10,…

A: In the given questions we need to calculate the Z transform of the signal after applying the…

Q: Use Laplace transform to solve the differential equation y ′′ − y ′ − 2y = sin 3t y(0) = 1 and y ′…

A: In this question we need to solve the given differential equations by using Laplace transform

Q: Inverse Laplace

A: In this question,  We need to determine the inverse Laplace transform of the given function.  We…

Q: 1. In contrast to actuators, sensors are usually designed to handle low power. o True o False 2. An…

A: We need to check whether the given statement is true or false. We also need to find out resolution…

Q: Consider the following x(1) and y(t) signals. Determine and sketch convolution in time for the…

A: For a Linear time invariant system, the system function is defined by…

Q: solve for y (t)

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Q: 1 1-x(t) which one of the following systems y(t) is unstable and why? = 1 1+x(t)' y(t) = xy(t) =

A: Given:  Three Systems as  y(t)=11+x(t)y(t)=1x(t)y(t)=11-x(t) To do: we have to determine which one…

Q: 2. Using Laplace Transform method, find the solutions of the following differential equations: (1) ÿ…

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Q: Compute the value of x(t)=t 8(t)

A: It is given that:

Q: Use Laplace transform to compute the solution to the following differential equation:…

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Q: For the given Plot y(t) i) ii) Deduce even and odd part of the signal x(t) r(t) 1 2)

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Q: 2+8u(t) V(+ ww 292 1+4u(t) A + 1H v.(t) i(t) Determine v₂ (t) for t> 0 using Laplace Transform.…

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Q: x(t) + 3/8 1 y(t) 2/s s/3 2 s/4

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Q: For the signal x(t) shown below, compute the following quantities: X (jw) dw X(jw)|²dw (a) (b) (c)…

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Q: Obtain Z-transform for the Followings

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Q: a) Determine the continuous-time convolution of x(t) and h(t) for the following x(t) 大

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Q: 2. Consider the CLTI system given below: [-1.5 1 1] [0.5 0.5] x'(t) = 0 -0.5 0 x(t) +| 0 0.5 u(t),…

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Fourier Transform

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volumes and frequencies. The term Fourier amendment refers to each illustration of the frequency range and the mathematical functionality related to the representation of the frequency domain and the function of space or time.