Find the Laplace transform: (a) f(t) = { (c) f(t) = e-t, 0≤t<1, t > 1. e-2t, t, 0≤t<1, 1, t≥1. (b) f(t) = (d) f(t) = 1, 0≤t<4, t, t> 4. tet, 0≤t<1, et, t > 1.

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: 4] Find the Laplace Transform of f(t) = { S-1 (-/= + 5 = /₁1) (1te - 1/₁1) (a) (c) S S - I (b) (d) S…

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Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

Q: Find the transform of the function: f(t) = tg'(t)

A: Given function is          f(t)=tg'(t)  ⋯⋯⋯⋯⋯ (1) To find the transform of the function (1) we use…

Q: Laplace transform of f(t) = e(4t-8)cos3(8t)

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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 Laplace transform F(s) = L {ƒ(t)} of the function f(t) = (9 – t) (u₂(t) — u6(t))

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Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: f(t) = cos 5t – 3t² s4-6s2-30 s4-6s2-150 а. F(s) с. F(s) s5+25s3 5s3-6s²–150 s5+5s3 5s3-6s2-30 b.…

A: We need to find the Laplace transform of ft=cos 5t-3t2 That is we need to find Lcos 5t-3t2 Now,…

Q: Find the Laplace transform F(s) = f(t)= (3-t) (h(t-4)-h(t-6)), for a 0. F(8) = C {f(t)} 2h(3-1)/s^2…

A: We know for a function g(t),           L{g(t)h(t - c)} = e-cs L{g(t + c)} Here, h(t - c) is…

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: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

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

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Q: Find the Laplace Transform F(t)=te^t*t^2

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

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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 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: Find the inverse Laplace Transform F(s)= 1/s^2-6s+10

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Q: Find the laplace transform of f(t) = e^t3

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Q: Find the Laplace Transform F(t)=8t^3-12t^2+6t-1

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

Q: Find the inverse Laplace transform of   F(s)=−6s−4/s^2−2s−24  f(t)=

A: To find- Find the inverse Laplace transform of Fs = -6s - 4s2 - 2s - 24.        Formula Used-  eat…

Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)

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Q: transform

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