(sin³r} = {1-co52} and find the Laplace transform: S 1 2 -3²+2 S 1 2 O 1(1 1/1 S +4 +2

Q: What is the Laplace transform of sint cost? 1 OF +4 O O O 1 s+2 1 2t+2 1 2s+4

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Q: L{e' cos 3t}

A: Given etcos23t We have to find the Laplace Transform. Formula use1. cos2(x)=12+cos(2x)122.…

Q: g(t) = 10rect [²(t+³)] ej²¹ 5 ej²nfot j2πfot

A: What is Fourier Transformation: A Fourier transform (FT) is a mathematical transformation that…

Q: Show that the Fourier transform of f (x)= e*/2 is e

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

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Q: L-1{ 1 (s2+1)(s2+4s+8)

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Q: find the Fourier transform f(x) = e ¹² cos fx|

A: What is Fourier Transformation: A mathematical transformation known as the Fourier transform…

Q: Given that -9/s cos(9t) L{- Vnt Vi cos(9t). find the Laplace transform of L{V cos(9t)}

A: We find the required Laplace transform

Q: L{7te-5t cosh(3t)+sin(√6t) — ²t³ + e=¹} -

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Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

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Q: 3. Find the Fourier transform of: (a) e-r²/2 (b) xe-2|z| (c) erfx = // Se √ Ső e-²² dz

A: As per our company guidelines, since the question has multiple subparts we will solve the first part…

Q: Find two fourier expansions for the function h(r) = sin(r). In one expansion, all the sine terms…

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Q: Find the inverse Laplace transform of [(18s)/((s2+9)2)]e-2s

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Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

Q: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

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Q: Use direct integration to find the Fourier transform G(f) of signal

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Q: The Laplace transform of x(t) is X(s). Given x(0)=2 and x'(0)=-1, write an expression for the…

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Q: 3s + 4 Find the inverse Laplace transform, L-1 ((s + 1)2.

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Q: nsform of 20 sinc (10(t - 10)

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Q: x(t)=sin(t-3T)

A: Z transform

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

A: Fourier coefficients represent the amplitude of each harmonically-related sinusoid present in the…

Q: Find the Fourier transform of (x) (13x if|x] 1

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Q: Find the Inverse Laplace Transform of L-1{ 5s/(s2+6s+15)}

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Q: Q5) Find the Fourier transform of: SCos(nt/t) for lel < x(t)=D .elsewhere) Sketch X(f) versus f.On…

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Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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Q: 2.) cos (10t+1)

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Q: Find the Fourier Transform of f(s) = e-ax= a >0

A: The Fourier transform of a function  is given by :

Q: (1 + e4)?

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Q: f(t) = -* sin4t cos 4t CS Scanned with CamScanner

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Q: Find the Fourier Transform of Sel2t -1<t<1 f(t) = {e1²t 0 elsewhere

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Q: 2. Find the Fourier transform of f(t) defined by: -5. -T st<0 0<tST 0 Elsewhere f() = 5. where T is…

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Q: Find the Laplace Transform 3 1- f(t) = 3t4 – 2 ti+ 6

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