Find the Fourier Transform of the given function: = f*,* (2х — 3, 0<х< 3/2 x > 3/2 f(x) :

Q: Find the Laplace transform

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Q: 6) F(s)=

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Q: (a) Find the Fourier transform of the function g: RR defined by Ste-kt, for t > 0, g(t) = otherwise.…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the Laplace Transform of the following using the definition via integration: F(t) = 5 sin 3t

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Q: Calculate the inverse Fourier transform of the function, At) if F(@)= 200(jw+1) jw(jw+10)(2jw+4)

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the Laplace Transform of f(t)=e^(at) using the definition of the Laplace Transform.

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Q: Find the Laplace transform of the function f (t) e2t = e2t using direct integration.

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Q: Find the Laplace transform of: (a) cosh at (b) sinh at

A: Given (a)cosh at  and (b)sinh at We have to find the Laplace transform of them…

Q: f(t) = 2 2 (3 cos 6t-5 sin 6t)

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Q: Find the Fourier Transform of f(x) where f(x) = e¯*

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Q: Find the Laplace transform of f (t) = cos²(3t).

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Q: f(t) = u(t− 3)(t - 3)e-4t

A: In this question, the concept of Fourier Transform is applied. Fourier Transform The Fourier…

Q: Derive the Fourier transform for f(t) = te2t for t>0 and 0 for t<0.

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…

Q: f(x)= 23, X cosx x2 x2월 욀

A: This question is for Laplace transform not for inverse Laplace.

Q: Find Laplace transform for the function f(t) = 3 sin 4t .

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Q: Find the Laplace Transform of the function f(t) = cosh at

A: The given function is ft=coshat. Obtain the Laplace transform of the above function as follows.

Q: t'coskt

A: Use the formulas below to find the Laplace transform.

Q: Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

A: Given function is, xt=3+sin2wt2.      ........1 Fourier transformation: Fourier transformation of…

Q: * + 3x + 6x = 0, x(0) = 0, x(0) = 3, x(t) =?

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Q: Determine the Fourier transform of e cl, with ca positive number.

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Q: )Find the fourier transform for the function: - 1<t <1 otherwise 1 f(t) = {, | %3D

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Q: What is the Laplace transform of x(t) = e-tcos(pi)t?

A: To find the Laplace transform of ,  x(t) = e-tcos πt Here the proof for standard form has been…

Q: 2. x(t) = e5t + cos 3t %3D

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Q: Give the Fourier transform of the function f. f(x) ha x € [0,₁] {* otherwise. =

A: Above question is solved.

Q: e at -e bt

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Q: Compute the Fourier transform of the following signal: x(t) = e-31e|sin(2t)u(t)

A: The Fourier transform of the function x(t) is represented as X(w), it is defined as ∫-∞∞e-iwtx(t)dt,…

Q: 4. e2t+a(2 cos at – 3 cosh 2at) -

A: It is given that the function ft=e2t+a2cosat-3cosh2at. We have to find the Laplace transform of ft…

Q: Q2- Find the Fourier Transform for f (t) =A cos o,t, where o, = 2n fo %3D

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Q: Use the definition of Fourier Transform, i.e. the equation f(t) = LF(@) elatdw to find the Fourier…

A: Using the given definition f(t) =12π∫-∞∞F(ω) e j ω tdω we have , F(ω) =12π∫-∞∞ f(t) e -j ω tdt…

Q: Determine the Fourier transform of the following: f(t) = {e/³t; -1<t<1 elsewhere 0,

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Q: (a) Find the Fourier Transform of the function: f(t) = e, for t>0 and a > 0.

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Q: Find the Fourier Transform of the following function f(t): f(t) 1 1.

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Q: Find the exponential transform of the function {1, Pi/2<x<pi. and 0, otherwise} and write f(x) as a…

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Q: Find the Fourier transform of (а) f (г) %—D еxp (-ах?), () f (») — еxp (-а \x),

A: To find the Fourier transform of the below functions. fx=e−ax2 fx=e−ax

Q: 1 s³ (s-V5)

A: We have to fin the inverse Laplace transform of 1s3s−5 that is L−11s3s−5 First find the partial…

Q: where k > 0. s(s-k)'

A: Using Laplace transform of integrals  L∫0tftdt=1sFs Also,  πss-k=πsFs where Fs=1s-k

Q: f(t) = cos² 2t

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Q: Find the Laplace Transform of the function f(t) = 1

A: Here given  f(t)=1

Q: Find the Laplace Transform of the following functions: 1. f(t) = -e-3t sin 4t + 3

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Q: f (x) =| , where 0<x<T

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Q: Find the Fourier transform of the following function . sin 2at x(t) =

A: Fourier Transform of x(t) is Fx(t)=∫-∞∞x(t)eistdt. Since xt=sin2πtπt, therefore Fourier Transform of…

Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…

Q: f(t) = 0, -1 <t<1 elsewhere

A: Given,         f(t)=ej2t, -1&lt;t&lt;1   0,  elsewhere

Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

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Q: -1,-ㅠ T

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Q: Give the Fourier Transform for the following functions (ii) 10 + 4cos5t

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as…

Q: Find the Laplace transform of f(t) = te-t from the definition.

A: Here we use the definition of lapses transformation.