Consider 1. f(t) = Sat, 04t 23 (cos't, 34€ using MATLAB plot the function on a 2. write f in terms of step functions 3. Use the t-shifting theorem to find the Laplace transform of f. single figure over the range OL t≤S.

Q: Find the inverse Laplace transform of the following function by using Theorems and tables 2s + 5 +…

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Q: Ex. Find the Laplace transform for the functions 1-f (t) = sin't %3D 2-f (t) =t°e"

A: We have to use Laplace standard transformations.

Q: Express the following in terms of unit step function and then find distinct formula for inverse…

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Q: 2. Determine the inverse Fourier transform of the following functions: a لمند 2// 1 ـ لما

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Q: i). ƒ (1) = (5– 312) ² i). ƒ (1) =r2sinh (21) Find the Laplace transforms of the following…

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Q: f (t)%3 3e ' cosh ( In 2r)

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Q: Direction: Determine the Laplace Transform of the functions shown and simplify. 1. 23t? – 4e2t

A: The given function is  f(t)=23t2-4e2t The Laplace transform of a function f(t) is given by…

Q: Etample T4 Find the inverse finite cosine transform f (x) if (2nn cos 3 where 0<x < 4. F(n) = (2n +…

A: Inverse finite cosine transform

Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: i). ƒ (t) = ²) ² ii). ƒ (t) =t²sinh (21) (5–31

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Q: Find the Fourier Sine Transform of the function f(x) = (ae-4* + be-3* + ce-2*) if x> 0 if a = 6, b =…

A: The given problem is to find the Fourier sine transform for the given function with given unknown…

Q: 2. Verify the following property of the Fourier transform: F(u(x + a)) = e-ial a(z)

A: Given::- Verify the following property of the Fourier transform: F(u(x + a)) =e^ -ia xi hat u( xi).

Q: Suppose the function f: R→ R has Fourier transform 1 f(p) = e-p². 1+ 4π²p² i. What is the Fourier…

A: As per the question we are given the Fourier transform of a function f(x) as f̂(p) From that we have…

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Determine the Laplace transform of L(t sin 3t)

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Q: 2. sin3 350at

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Q: .2 (s² + 6s + 7 L-1 s² + 3s + 2

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