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

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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: 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: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: Find the fourier transform

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Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

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

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Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t&lt;0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

A: Given: u0x0,y0=exp-x02+y02w02 To find: Solution

Q: Kind the haplace transform of f(t)=78(t-½)Cost.

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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: 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

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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: Determine the graph and the Fourier coefficients of the following function: that describe the…

A: Determine the Fourier coefficient of f  f(x)= 0 , -π&lt;=x&lt;=0 .

Q: (b) Find the inverse Fourier transform of the following: (11) 1 √w√2π (3+jw)

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

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Q: Solve the fourier transform of the following functions: 2. f(x) = {x if 0 < x < a otherwise

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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 =…