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: f (t) ) — е -4(t-2)² e

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Q: Find Laplace transform of the function t2Sint.

A: We have to find the Laplace transform of the function t2sint that is Lt2sint Use Laplace transform…

Q: determine the inverse Laplace transform of F.

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Q: Using the tables write down the transforms of the following functions/ (i) t² – 3t + 4 (ii) 2 cost…

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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 1 F(x) S- s2 (s + 1)

A: If L[f(t)]=F(s), then f(t) is called the inverse Laplace transform of F(s).…

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: Use the method Laplace transform to solve the following. (a) 2r' + 7r=3e-t, x(0) = 4. (b) 2r' +…

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Q: Derive the Laplace transform for the following time functions: a. u(t) b. tu(t) C. sin wt u(t)

A: We have to find the laplace transform of the given time functions.   According to guidelines we…

Q: f(d) = e-2d d4

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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: Use the step function to calculate the transforms of the functions below. Evaluate at s = 1.

A: The transform of the function f(t) is represented as F(s), and it is defined as ∫0∞e-stf(t)dt, where…

Q: 3s Find the inverse Laplace transform of the function F(s) = s2 – s – 6 - -

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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 Laplace transform F(s)= C{S(t)) of the function f(t) = (4- t)(h(t - 3) - h(t - 6)), for s…

A: The Laplace transform of the function f(t) is represented as F(s), and it is defined as…

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: (Difficulty: **) Consider a signal 2[n] and its DTFT X (eiw). Assume X(ej") is differentiable.…

A: Solution is as follows

Q: Evaluate using Laplace Transform: 00 2 sin f (t) = dt et

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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: Laplace transform THI f(t) = 3 sint cost

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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: Find the Laplace transform of the given function; b is a real constant. f(t) = cos(bt) Your answer…

A: Given: The given function is ft=cosbt, where b is a real constant. To find: We have to find the…

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: The Laplace transform of the function f(t)= -4e-3t+5f4 is Select one: True False L {f(t)} =…

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

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