2)Find the fourier transform for the function 0

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

A: If Fourier transform of f(x) is F(p), then we have to prove that the Fourier transform of f(x)…

Q: 3. Use the Laplace transform method to solve the initial value problem r = 6x1 + 11r2, r = -4x1 –…

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Q: (11) The Fourier cosine transform of the function f(x) e; x>0, is

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Q: 4 Find the Fourier Transform of f(x) where S(x) =e*

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Q: Solve x"(t)+3x'(t)+2x(t) = u(t - 2), with x(0)-0 and x'(0)-0 using the method of Laplace transform.…

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Q: Find the Fourier transform of f(x) without using the Fourier transform table. f(x) = e-l×l. (-0 <x<…

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Q: Find the Fourier coefficients of the periodic function f(x)=x-2x², (-<x<n); f(x+2) = f(x)

A: We have to solve by Fourier series.

Q: Use a Fourier transform to solve the following initial value problem for the free Schrödinger…

A: Given: Let us consider the given ut=iuxx ; ux,0=e-x2

Q: Find the Fourier transform of ƒ (t) = 2 for -T≤t≤0 2 for 0 ≤ t ≤T

A: We have to solve given problems:

Q: Find the Fourier transform of the given function. (a) f(x) = A(2x + 1). A(2x − 1)

A: As per the question we are given the function f(x) as : f(x) = Λ(2x+1) • Λ(2x-1) And we have to find…

Q: Find the Fourier cosine transform of f(x) = e-2x + 4e-3x

A: Given, f(x) = e-2x + 4e-3x Find Fourier cosine transform

Q: 3. Find the Fourier transform of the following: f(t) = {te-t -1<t<0 elsewhere

A: We have to find the Fourier transform of the given function.

Q: Use the Laplace transform to solve the given initial-value problem. 2y" + 3у" — Зу' - 2у %3D е-t,…

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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: Calculate the Fourier transform of f(x) = (1 – 2)e-(z-a)?/2_

A: Calculate Fourier transform of e-x-a2/2:  ∫-∞∞e-x-a2/2·e-jωxdx=e-jaω∫-∞∞e-x-a2/2·e-jωx-adx-a…

Q: Q.3. Find the fourier expansion for the function whose definition 一T х, (x) = 0, くxく- 2 <x< -

A: Given that function we have to find the Fourier series of that function.

Q: 3. Find the Fourier Transform of a t < 2 a а f(t) = 1 %3D -- 2 < t Whose graph is shown below V t. V

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Q: 3. Find the Fourier transform of (a) f (x) = (b) f (x) = x|

A: To find the Fourier transform of function f(x)=1x

Q: 2s3+ 4s²+1 F(s) = (s²+ 2s+17)(s²+ 4s+20)

A:

Q: (a) Consider a continuous-time signal g(t) with its Fourier Transform as below: (2 sin(w) G(jw) =…

A: Given equation is, Gjω=1-e-jω22sinωω+e-jω3 We have a recttT⇒2AsinωT2ω Let, A=1, T=2 then…

Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: Compute the Fourier transform of the following function: f (x, y) = e-(1x-y|+|x+y[)<+

A: Calculate Fourier transform: Fu,v=∫y=-∞∞∫x=-∞∞fx,ye-2πjux+vydxdy…

Q: 3. Use a Fourier transform to solve the equation d'y - y? = 0 dx2 with initial conditions y(0) = yo…

A: Given: d2ydx2-y2=0 To find: Solve the equation by using Fourier transform.

Q: Obtain the Fourier transform of the function where f(x) = 0 for x &lt; 0 and f(x) = e−axsin(bx) for…

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Q: Find the LaPlace transform for the periodic function. 1. 2 3 4. 3.

A: Consider the given figure. Given that function is periodic function. We have to find the Laplace…

Q: 7) Use the Laplace transform method to solve the Volterra integral equation: u(x) =1-x - (x -t u (1…

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Q: Obtain the Fourier Series expansion of the periodic function f(t): Then, draw the periodic function.…

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Q: of the function. 4. Find the Fourier transform of of 1/(1+t²).

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Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: (b) Find the Fourier-sine transform (assume k ≥0) for 1 f(x) = x + x³

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Q: f(x) = = 1 2 cos: X x

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Q: The non-periodic function f(x) is defined by f(x) = e-l=l. Obtain the Fourier transform of f(x).

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Q: Find the Fourier transform for f (x) xe c > 0

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Q: a) Find the finite Fourier cosine Transform of f (x) = x² in 0 < x < 4.

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Q: 3. Use a Fourier transform to solve the equation d²y dx2 y 0 with initial conditions y(0) = yo and y…

A: Given: d2ydx2-y2=0 To find: Solving the equation by using Fourier transform.

Q: 4- Find the Fourier sine and cosine transform of: e-x 0 <x < a F(t) = otherwise

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Q: find the Fourier expansion of the periodic function shown below f(x) = = sinx - n< x < T

A: we have to find the Fourier series of

Q: 1. Consider the function [x-1, f(x) = 0, (1.1) Find the Fourier transform of f(x). if 0 ≤ x ≤ 1,…

A: For part 1.1, we are given the function f(x)=x-1,           if  0≤x≤10,                  elsewhere…

Q: (7) Find the Fourier transform of the following functions: { {: cos x, if 0 1 (ii) f(x) = 0,

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Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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Q: Find the Fourier transform of f (x) defined by |x| a f (x) = sin? ax ta and hence prove that x2 2

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Q: Solve the Laplace Transform 8. f(x) = (2/x)(cos1/2x)

A: note : We will consider the given function as : f(x) = (2/x) cos(0.5x)   Now we have to find the…

Q: 7) Use the Laplace transform method to solve the Volterra integral equation: u (x ) = 1-x - (x –t )u…

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Q: x(t)=1(t+4T)

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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 1<t<3 f(t) = 0 otherwise

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Q: Find the Fourier Transform of f) = { - z - n<x< 0 0 <x<T

A: We have to find the Fourier Transform of…