1. Calculate the Laplace transform of the function when 0

Q: determine the Laplace transform of the given function f. Q. f(t)=(t −2)2u2(t).

A: Given: ft=t-22u2t. We have to determine the Laplace transform of the given function.

Q: 2. Use Laplace Transform to find (f * g)(t) if ƒ(t) = e=t and g(t) = sin(t).

A: The given functions are: ft=e-t and gt=sint Find the value of f×gt by using the Laplace transform.…

Q: Find the inverse Laplace transform of F(s) f(t) = | = -2s + 22 s² - 2s - 24

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Q: L Find the Laplace transform F(s) = {f(t)} of the function f(t) = et-2h(t-2), defined on the…

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Q: - Find the Laplace transform of each given expression ( (1) 3 cos (2 t) e-2t + (t - 2)²

A: Since you have posted multiple questions, we will answer the first question for you. If you want any…

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

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Q: A) Find the Laplace transform of P 0 3

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Q: A. Find the Laplace transform of each given expression (5 (2) i++ t sin(3t) + y, where x = z(t), a…

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Q: Determine of f(t) = = the laplace transform 7 0 < t <3 3 < t < 5 2 0 t ≤ 4

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Q: . Find the Laplace transform of the function f(t) = 2t + 3 cos(3t) + 4 sin(3t)

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Q: Find the Laplace transform of f(t) = te-5t.

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Q: Let ƒ(t) = 0 3(t 6 - if t 6 Find the Laplace transform, F(s) of f(t).

A: We have to find Laplace transform,  of .

Q: (a) Find the Laplace transform of the functions: f(t) = tsint+e-4+74³ +44.

A: Sol:- Ltsint+e-4t+7t3+44Use the linearity property of Laplace Transform:For functions ft, gt and…

Q: Q5- Find the Laplace transform, if it exists, of each of the following functions f(t)= {3t²6t+ e-5t}…

A: The given problem is to find the Laplace transform of the given functions.

Q: What is the Laplace transform of the function: F (1) = cosh 4t where cosh 4t = A $2– 16 B s2– 16 s2–…

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Q: (3 f(t) = - 2<t< 2 otherwise %3D

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Q: t2 t 6. [34] Find the Laplace transform of f(t) 2t – 8 te-2t

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Q: Find the Laplace Transform F(t)= {t if 0 or equal to 2

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Q: Sketch the graph of the function below and determine its Laplace transform. (t- 3)2u(t- 3)

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Q: Solve for the laplace transform x(t) = 4(t/5) e-t/6

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Q: A function f(t) is defined by if 0 5 (a) Sketch the graph of f(t). (ь) Find the Laplace transform…

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Q: 8. Find the 6th order Fourier approximation of the function that is periodic and f(x) = x, -2<x <2

A: Given function is fx=x ,   -2≤x≤2 Compare the interval  -2≤x≤2 with -L≤x≤L, we get L=2…

Q: d³c(t) dt3 d?c(t) , dc(t) + dt d?r(t) dr(t) + 4- dt + 3r(t) +3- + 5c(t) = dt2 dt2 dc(0)_ d²c(0) c(0)…

A: Applying the laplace transform of the equation.

Q: 4) Find the Laplace Transform of the following functions: f(1) = Lu(t – n) n=0 f (t) = (-1)t/a] *]…

A: a) Given function is , ft=∑n=0∞ut-n     =ut-0+ut-1+ut-2+···· To find : Laplace transform of ft…

Q: Find the inverse Laplace transform L-{F(s)} of the function 6. F(s) = (s – 3)* NOTE: The answer…

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