Do the Laplace transform for the functions below. Example: f(t) = A + d(t), give the answer in the form: F(s) = A+s*X f(t) = F(s) = dz(t) dt f(t) = A. dz(t) +2. dt d²x(t) dt2 F(s) = g(t) = f(t)dt d²f(t) - dt2

Q: Find the Laplace transform of each function: y = S(x)

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Q: t, 0st<3 t2 3 f(t) %3D 0, F(s) = %3D

A: F(s) = 1-e-3s(1+3s)s2

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

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Q: Find the inverse Laplace transform of -8s F(s) = e s² - 18 - 12 f(t) = =. (Use step(t-c) for uc(t).)

A: The given problem is to find the Inverse Laplace transform of the given function F(S) to find the…

Q: consider the function +61 f(t) = 7, 15+44 | (+-4), +24 1) write the function in terms of unit step…

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Q: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: Do the Laplace transform of x(t) x(t) = (t + 1)²e¹u(t) + e-3t cos (t) u(t)

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Q: Find the transforms of the given functions: Please see attachment

A: By the properties of Laplace transformations:

Q: - Use the definition to find the Laplace Transform of: f(t) = 4 t. %D

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Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A: Inverse Laplace transformation of the pice wise function

Q: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)

Q: Find the inverse Laplace transform of F(s) = f(t) = -2s+6 s2 +48 +8

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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: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

A: Solution:-

Q: Find the inverse Laplace transform of f(t) F(s) = = help (formulas) (Notation: write u(t-c) for the…

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