rect (2) g(t) = rect (+2) then (1) Draw f(t) and g(t); (2) Find and draw y(t) if y(t) = f(t) * g(t) using convolution property of Fourier transform; (3) Find and draw the auto correlation function of f(t); (4) Find the energy of f(t). Q3: If f(t) = =rect

Q: 40. Find the inverse Fourier transform off (p) = e¯ ™ Y.

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Q: 5s + 20 F(s) = s2 + 8s + 97

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Q: Part II. Find the Inverse Laplace Transform of the following: 8s -4s+12 1. F(s) s3 +4s

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Q: Find the inverse Laplace transform of the function as + b H(s) = (s – a)2 + 32 °

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Q: 3e-2t, where x(0) = *(0) = 0 Q2. Find the response of a system * + 5x + 6x = a. Obtain the transfer…

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Q: What is the Inverse Fourier transform of: F(w) =: 19(25-w2), (25+w)2 Your answer should be expressed…

A: Given Fourier transform function is: Fw=1925-w225+w22 let us try to bring above function in to a…

Q: If Z(x1(n))=X1(z) and Z(x2(n))=X2(z) then what is the z-transform of correlation ?between the two…

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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: 5s + 7 (s + 2)2 A. f(t) = e-2t (5+ 7t) C. f (t) = e-2* (5 – 7t) B. f(t) = e-2t (5 + 3t) D. f(t) =…

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Q: 3s +5 Let X(s) = be the Laplace Transform of a signal x(t). Then, x(0+) is %3D s + 10s + 21

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Q: Q6] What are the Fourier transforms of these two parts of the pulse? IGO|| arg|G()|| 1.0 0 27 اده 2…

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Q: (a) Determine the Fourier transform, g(m), of the signal in figure 1. Sketch g(m). f(t) 2 -1 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: Find the Fourier transform of 8(t+2) + 8(t – 2).

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Q: If * represents convolution, determine the Laplace transform of f(t) = 12t * e-3t

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Q: -2 x(1) (a) 2

A: Please post multiple questions separately, as per policy first question has been solved. The given…

Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 5s + 25 F(s) = s2 + 10s + 50…

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Q: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

Q: Given 30<t ₹2 10 elsewhere find Fw), the Fourier transform of ƒ(t). Compute the values of F(0), F(1)…

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Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: The Laplace transform of f (t) =t² U(t – 3) is: %3D F(s) = e* (-) F(s) = e=3* (; +) O This option O…

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Q: when using the Laplace Transform Table, you need to always identify c, f(t), and F(s), etc. 2 Find…

A: find the inverse laplace transform

Q: Find the Laplace transform of the following function. That is, determine coefficient D f(t) =…

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: Solve for the inverse Laplace Transform of 8 F(s) 53 - 3s2 – 4s 8 f(t) = – 2t + 2 a. + te4t Ob. 8…

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Q: f(t) = cos 5t – 3t² s4-6s2-30 s4-6s2-150 а. F(s) с. F(s) s5+25s3 5s3-6s²–150 s5+5s3 5s3-6s2-30 b.…

A: We need to find the Laplace transform of ft=cos 5t-3t2 That is we need to find Lcos 5t-3t2 Now,…

Q: The Fourier Transform of * x(t) = [u(t)-u(t-2)][u(t) – u(t − 1)] 8(t - 0.5) cos(2πt) - O exp(j0.5w)…

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Q: Q1) using Fourier transform find x(t) below x(t) = [e-3tu(t) * e-6*u(t)] dt

A: Solution is given below

Q: A function f(t) has Fourier transform, F(w) we. What are the Fourier transforms of: (a) f(t-3) (b)…

A: If F(ω) is the Fourier transform of f(t), then using the property of shifting, it can be written…

Q: pply the theorem L(f* g) = L(f)L(g) to find the inverse Laplace transform; also do it in mother way…

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Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…

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