We have f(t) = { 0,              t < 0 2t,            0<= t < 1 3 - t,         1<= t < 2 1,             2<= t < 4 5-t,           4<= t < 5 0,             t >= 5 } Find the laplace transform F(s) of the function f.

Q: Q1\ Find the Laplace transform for the following function: f(t) = - 24 t5/2 + t e3t sin (6t)

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Q: f(t) = SO if 0 c where c> 0.

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Q: dt (te-¹u (t))?

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Q: 1) x(t) = 1(t- 47T)

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Q: Use direct integration to find the Fourier transform G(f) of signal

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Q: 6. a) Find the Fouriér Transform of f(x) = 1-x² (x) 1), b) Evaluate, - I Cosx-sinx cosdx

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Q: Determine The Fourier transform of the following function (2 |t| t/2 f(t) =

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Q: F(s)= (s +1)es» s²(s + 2) -5s

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Q: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: when 0 k

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Q: The Laplace Transform of

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

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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: Use the definition of the Laplace transform to find ℒ{f(t)} for f(t) = 2e^−3t Find the domain of the…

A: The explanation of the solution as follows:

Q: Q6/ Find the Inverse Laplace Transform 1 2- L-1 (s²+9).

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Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: .2 (s² + 6s + 7 L-1 s² + 3s + 2

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Q: Q3\Find the Laplace transform of f(t) defined as 03

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

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Q: sx 14-X Find the Fourier transform of function f(x) = , 0<x< 14 14 < X <16

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Q: Find the inverse transform of L-1[ if L-1[f(s)] = F(t) s 2 3/2 4t3/2 4t/2 dt1/2 O O O

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