Use the convolution theorem to find the inverse Laplace transform of the given function.   4/((s^3)((s^2)+1))

Q: Find the finite cosine transform of 1 – where 0<x< T.

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Q: 8 2. 5s (s²+4).

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Q: xn-1 ax

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Q: メ - Hx = 8 ; t-0,メ=? %3D

A: Given x.-4x=8  at t = 0 , x = 2

Q: Determine the Laplace Transform of sin³3t

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Q: Use the definition of Laplace transform and Euler's formula to find the Laplace transform of cos t…

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Q: Find the Laplace transform of L(t5)

A: The Laplace Transform of f(t) is given by, L{f(t)}=   ∫∞ 0   e^-stf(t)dt Here f(t)=t^5 So, L(t^5)= ∫…

Q: Compute the Laplace Transform of f(t) e-St using the definition of the transform. (Just listing the…

A: ANSWER:

Q: find the Laplace transform of x3

A: Given : To find the Laplace transform of x3

Q: Find the inverse Laplace transform of the following function by using convolution theorem. :(&+2)*…

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Q: Calculate the Laplace transform of the following functions: (4.1) ť sint.

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

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Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: 2. Determine the Laplace transform of the function rsinr using the 2nd derivative theorem.

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Q: Find the Laplace transform of (te-2cost)

A: Use property of Laplace transform

Q: fCt = [ Htu (t-π) Jun (37)

A: As per the question we are given the following function : f(t) = [1+u(t-π)]sin(3t) And we have to…

Q: By using convolution theorem for Laplace transform, prove that 1 L-1 + x}={erf (2√x) PVp +4

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Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

Q: Find the inverse Laplace transform of the functions.

A: We find Laplace inverse transform of given function

Q: what is the discrete fourier transform of y = 001010

A: Introduction: Discrete Fourier transformation is applied when the signal is discrete and finite. For…

Q: Use the definition to find the Laplace transform of functions to follow

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Q: Laplace transform is a process wherein a function of "t" be converted to variable "_

A: Using the definition of Laplace transform

Q: In general, if two functions have the same Laplace transform, these functions cannot differ over an…

A: Solution

Q: Laplace transform of the convolution integral of

A: Note:- Convolution Integral Theorem:- If function ft  and  gt are the piece-wise continuous function…

Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: Midy cQil Lind forier transform for Sine senies of func tion T4-X

A: The objective is to find the fourier transform for sine series of f(x)=x0&lt;x&lt;π8πl-xπ/8&lt;π/4…

Q: The Laplace transform for ramp function with a time delay can be expressed as follows: *

A: Let the time delay is T, So the ramp function will be f(t)=(t-T)u(t-T) Where u(t-T)=1, t&gt;T0,…

Q: i) Find the Fourier sine transform of (sinx, 0a %3D au Courier Transforms, Calculate

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Q: 1- -の+9

A: we can use following concepts (1) to (4) , to solve given problem:

Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: Show each derivative step in generating the fourth order Taylor polynomial for ln(x) centered at…

A: Topic = Taylor series

Q: sinudu

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Q: Find the Laplace transform of sinht - cosht.

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Q: Determine the Laplace transform of the given function using Table 7.1 and the properties of the…

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Q: What are Practical uses of laplace transform in th efieldof engineering

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Q: If a function is Fourier transformaboe, is there any guarantee that the function will be Laplace…

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Q: sin(2t) cos(2t)

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Q: If a function "f" is not piecewise continuous on [0, infinity), then its Laplace transform will not…

A: True

Q: Starting from the definition of the Laplace transform, calculate: a) L{(cosh(2t)}

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Q: sinh³ 4t

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Q: The Laplace transform of L(sin7t) is

A: We have to find Laplace transform of…

Q: times the Fourier transform of f(x) provided that the first (n – 1) derivatives of f(x) vanish as…

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Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

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Q: What is the Laplace transform of 7sin (6 t) sinh(6 t)

A: What is the Laplace transform of 7sin (6 t) sinh(6 t)

Q: Find the Fourier-sine transform of ƒ(x) = |x − 3| − |x − 2| + 1. -

A: We will first compute the complete Fourier transform of f(x) then using Euler's formula and…

Q: Find the Fourier transform of the unit rectangular distribution f(t) o otherwise. Determine the…

A: Analysis of the fourier transform of the unit rectangular distribution

Q: Find the Fourier cosine transform of e-x.

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Q: Solve for the inverse Laplace transform of O 4cos at - 3 sin at 4 sin at – 3 cos at 3cos at - 4 sin…

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1ss2+a2=cosatL-1as2+a2=sin(at)

Q: Solve all the Laplace transform in the image attach

A: Laplace transferom of the pice wise function, and Laplace transferom of divisibility by t theorem