Find the Fourier sine transform of f (x), iff (x) =x, a xb

Q: Find inverse Fourier transform of F(W) %3D W2-2W+3

A: A complex domain function can be transformed into a real-time function through the inverse Fourier…

Q: Find the Fourier Transforms of the indicated function: f (x) = cos x e−x^2/2

A: The given problem is to find the Fourier transform of the given function. Given function, f(x) =…

Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

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Q: sinh ot + cos ot

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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: find the Fourier transform of given signal x(t) = 1/(a²+t²)

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Q: Consider f(x) = xe The Fourier Sine transform of f(x) F,f(2) = The Fourier Cosine transform of f(x)…

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Q: L[sin(3t - 4n)]

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Q: Find sine transform of e-[165]t/t

A: The Fourier sine transform is defined as                                  Fsfx = Fss = ∫0∞fx sinsx…

Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

A: Fourier coefficients represent the amplitude of each harmonically-related sinusoid present in the…

Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

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Q: (3) A signal has Fourier transform as, 1 sinc (2w X(w) sinc + 2. Compute x(t)

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Q: (b) What is the Fourier Transform of x?8(x² – a²)?

A: The given problem is to find the Fourier transform of the given function, in the given function…

Q: Prove that the Fourier transforım of f' (x), the derivative of f (x) is – ip f (p), where S(p) is…

A: Answer: For the given data,

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

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Q: Write expoential Fourier transform of f(x) = e-l*l.

A: We need to find Fourier transform of  fx = e-x We know the formula for Fourier transformation of…

Q: Find the inverse Laplace transform. F(s) = 1/s - 2/s^5/2

A: This question related to inverse laplace transform.

Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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Q: Q2/ Find Fourier Transform the following function as in graph: (-1,0) (1,0) Pi

A: The given problem is to find the Fourier transform of the given function in the graph. We have to…

Q: Find the inverse Laplace Transform F(s)= 2s-6/s^2+9

A: We have to find the inverse Laplace transform of .Now, consider Apply the inverse Laplace transform,…

Q: a Find the Fourier transform of the signal x(7) = 2 cos(m)[(1+3)-(1-3)], using the Fourier integral.

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Q: Find the function with the transform 12e-4s î(s) = (2s + 1)²

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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: The function f(x) = sin(x + sin 10x), 0 ≤ x ≤ π, arises in applications to frequency modulation…

A: See the details solution in below

Q: g(t) = 6e-4t-3|sin(2πf₁t)

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Q: Express 3/2 (1 - e-¹)dt in terms of gamma function.

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Q: What is the Fourier transform of

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