134 Second Year Dr. Atheer Alaa Sabri Mathematics Electrical & Electronic Engineering Department Find the Laplace Transform of the following periodic functions 2) f()=4x² -t, (0

Q: Q4) Find Fourier transform of the functions: 1)f(x)= nxl, x π 3)f(x)=xe-x1, x ER 2)f(x) = 4)f(x) =…

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Q: 1 (b) Find Fourier cosine transform of f(x)=< -1 <x< 0<x</

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Q: Find the Laplace Transform of the following: (2 3. h(t) = }t t 4

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Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

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Q: Let f(x) (x2 +x), -n<x<n be a periodic function, then the Fourier coefficient az %3D Answer:

A: The Fourier series for the function can be calculated using the formula  fx=A0+∑n=1∞…

Q: The Inverse Fourier transform for e(2-6)i is 5-(3-w)t O 2H(t +2)e 10-(5–31)t OH(t+2)e 10+(5-31)t O…

A: We need to find the inverse Fourier transform of e2w-6i5-3-wi The inverse Fourier transform of 1wi+a…

Q: The Fourier transform of a function } (t) iš defihed by F(w) = f(t)e-jwtdt %3D a) Using the above…

A: The Fourier transform of a function f(t) is defined by F(ω)=∫-∞∞f(t) e-jωt dt 1) We have to find the…

Q: - 34 as f(4)= ė" ult-1) Solve it in fourier transformation

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Q: If F(s) = -3s² s + 1 is the Laplace transform of f(t), find the following, correct to three decimal…

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Q: 8.(a) Find the Fourier transform for the function cos x, -n/2 7/2 f(x) = 0, (b) Use the result in…

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Q: 77. er = 1+ x20 + 20 +...

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Q: Find the Fourier transform of 8(t+2) + 8(t – 2).

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Q: (1 point) Compute the Laplace transform: -3t c{us(t)te¯* + us(t)} = e^(-3t)*1/s*e^(-5s)*s+1/s If you…

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Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

Q: The Fourier Cosine transform of the function f(X) = {1, |x| a} a A 1/(/2n)*(cos(as)/s) B…

A: Given functionfx=1,x&lt;a0,x&lt;aFourier cosine transform of f(x) is given byFcfx2=2π ∫0∞ f(x)…

Q: Find the given inverse transform (1) c{ (i) L-1 s2 + 6s + 1 1 1 (ii) L-1 |(s – 1)3 ™ s² + 2s – 8

A: The Laplace transform of a function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace…

Q: 2s – 7 - F(s) = %3D (s – 4)(s + 6)

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Q: 더 - C 1 -2s +6 s+2 82 - 4s + 8+1 C S-2 1

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Q: Question(s) 2. Find the Laplace transform of t°cosh at 3. Find the Laplace transform of e-2tt sin³t…

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Q: 8 3 Find the Inverse Laplace Transform of- + 3s2+ 12 s2– 49 3 4 A) - sin2t + -cosh ( 7t) 7 3 4 –…

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Q: dt? + w?) G(t) = 6(t) () 1. Now using the Fourier transformation on both sides of equation 1 and…

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Q: Find the inverse Laplace transform L-1{F(s)} of the function 6 F(s) = (s – 1) NOTE: The answer…

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Q: Please show all solution with explanation. thanks

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Q: 6s – 5 Find the Inverse Laplace Transform of F (s) s2+7 5 f (t) = 6cos(/7t). -sin(/77) _cos(/7 ) 5 B…

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Q: The Wigner-Weyl transform is given by 1 W (r,p) 2nh a) Proof that V(2)* = / dp W (z.p).

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Let f(x) = (x2 + 1), n<x <a be a periodic function, then the Fourier coefficient az = Answer:

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Q: Since (7t^2) *e^(mt) - (7t^2) *sinh(at) = (t^2)(7e^(mt) - 7sinh(at)) What should you take the second…

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Q: Find the inverse Laplace transform of L- s-37+4J- 3 (++3)²+4 3 3t e e 3t sin2t sin2t (s+3)2 (C) L"f…

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Q: ısform of cos( @E transform of e

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Q: Q6) (a) Prove that Fourier cosine transform of f(x) = cos(x), 1 sin 3(p-1), sin 3(p+1) p-1 p+1 +…

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Q: What is the Fourier transform of 8(x) dx F(k) = 100 = 2T -ikx 8(x) =?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For the following functions in time domain t, produce the corresponding functions in frequency…

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Q: Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

A: First recall the definition of Fourier transform and inverse Fourier transform of a  function The…

Q: Question 2: Calculate the inverse Laplace transform of the function F(s) = (s + 1)/(s^2 + 4s + 5).

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Q: Part A) How that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: The problem is related with Laplace transform.  First in part (A), we have to show that Ltnyt =…