Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

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: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: Q3: Find Fourier sine Transform for f(1) = elsewhere Then use Parseval's theorem to evaluate - cosx…

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Q: 5 sin [ -5TT X<ST %3D otherwise

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

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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: Q8 Find the Fourier transforms of: sin* - pn Sx< pn f(x) otherwise

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Q: Q: The Fourier representation of a function f(x): f(x) = {-10 V, 10 V, ーTくX x > 0 40 sinx sin3x…

A: Given f(x) = -10v.  When -π &lt; x &lt; 0              = 10v when 0 &lt; x &lt; π.   Graph of this…

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

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Q: Find the Laplace Transform for the function e-Nt sin²(Nt)

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Q: Q1: Find the Laplace Transform sin2t sin5t

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Q: es F(s) Vs – 4

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Q: Find te Inverre laplace transform of F(s) 48 2. |

A: Inverse Laplace Transform Definition: If Fs be the Laplace transform of a function ft, i.e., if…

Q: 2. Determine the Laplace transform of the function rsinr using the 2nd derivative theorem.

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Q: sin 3at where a is any positive constant and s > a. WHAT IS THE LAPLACE TRANSFORM OF THIS?

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 5…

A: Here we have to find out f(t) using inverse Laplace transform.

Q: Laplace transform of derivatives Find [ (t² 3t + 2)sin3t.

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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: a. Determine the formula for the Laplace transform. et sin 5t-t³ + e 2t) = (Type an expression using…

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Q: Find the Laplace transform of the following: 1. 4t + 12 2. 1.5 sin(3t-3)

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Q: 5 sinh (3t) +4 cosh (3t)

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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: -3iw sin 5w 20e F(@) = %3D 3

A:

Q: Q4: Find the inverse Fourier transform of the spectrum: - 2s w S0 X (w) = 0 swS2 -- 0.W EIN I 0

A: Definition:

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

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Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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Q: Find the fourier Transform for the signal Given Ye Sinh (H)

A: Given: Signal, y=sinhtTo find: Fourier transform of the given signal.

Q: Find the Laplace transform of f(t) = sinbt .

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Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: How does one find the inverse Laplace transform for the arccot(1/s)?

A: Let,

Q: Find ℒ{sin(at)}. For what values of s is this transform defined?

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Q: laplace transform for 6 sin 2t

A: The objective is to find the Laplace transform of 6sin2t. Now, L6sin2t=6Lsin2t

Q: Show that (a) L-1 = sin(at) - tcos(at) %3D (s²+a²)²) (where L indicates imverse Laplace transform)…

A: L-11s2+a22=12a2sin(at)-12a2tcos(at)

Q: Find the Fourier transform of the function : S (t) = e-x2 %3D

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Q: Find the Fourier Cosine Transform of the function hel 0026.png e2x + be3* f(x)= 2 +be 3.x e6.x if…

A: To find- Find the Fourier Cosine Transform of the function fx = e2x + be3xe6x2 if x &gt; 0 if b =…