The Fourier transform of the triangular pulse x(t) in Fig. P7.3-4 is expressed as 1 X(a) (e Jjwe Jo-1) Use this information, and the time-shifting and time-scaling properties, to find the Fourier trans- forms of the signals x;(t)(i= 1,2,3,4,5) shown in Fig. P7.3-4 - 1 0 1 2 -1/3 -1.5 -0.5 0.5 1.5 Figure P7.3-4

Q: The Laplace transform off (t) = {', ´1 0<t<2 is: t2 2 1-2e -2s F(s) = F(s): 4-8e-2s F(s) = This…

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Q: 1) Find the inverse Laplace transform of the following: a) L-1 s+1 ans:A = , B=- e* -e s2-7s+6. 5' 5…

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Q: 3s - 2 Find the Inverse Laplace Transform of G (s) = 2s² – 6s – 2 A 8(1) = 3e 2 sinh cosh 13 B 8 (1)…

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Q: 10- 6- X f0 -8|-6 10 ..... The Laplace transform of f(t) is F(s) =|. (Type an expression using s as…

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Q: 86s - 78 Find the Inverse Laplace Transform of T+3)(s-4)(5s– 1) 4r A - 3e 5+2e*+e 5 B 4e -3 - e4 – e…

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Q: A discrete time signal given by z[n] = 5&[n – 3] + 38[n – 4] + 58[n – (ii) Find the Fourier…

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Q: Q2-AL Find the Fourier transform of signal shown below

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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: Solve the initial value problem below using the method of Laplace transforms. w'' - 12w' + 36w = 36t…

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Q: Solve the following using second shifting theorem (t- shifting) 1. Find the inverse transform of…

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Q: Find the inverse Laplace Transform of 3(S-1) A. 3(cost + sint) B. (S-1)²+1 3s s²-2s+2 C. 3(S-1)…

A: We will use table of Laplace transform

Q: 20S-30 3) Find the inverse Laplace Transform of the function (S-1)(S+2)3

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Laplace transform L-1 {  S2+1/ S(S-1)(S+1)(S-2)

A: The given expression is, L-1s2+1s(s-1)(s+1)(s-2). Apply partial decomposition of the denominator as…

Q: Example Find the Laplace transform for the the signal shown: Solution This is a periodic signal with…

A: Question: Find the Laplace transform of ft=t,          0&lt;t&lt;π2π-t, π&lt;t&lt;2π

Q: 5s? - 7s +8 (s-1)s? - 2s + 5) Find the inverse Laplace Transform of Y =

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Q: (1-6 (1-5 (1-5)

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Q: The Fourier transform of e-alt is foe-alte-it dt = to three decimal places. G Round your answer to 3…

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Q: Find the Inverse Laplace transform of: 5s-2 а) s?(s+2)(s-1)

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Q: a+t for - a <t<< 0 a2 4) Find the Fourier transform of f(t) : where 'a' is any odd number a-t for…

A: Given function is  ft=a+ta2 , -a&lt;t&lt;0a-ta2 , 0&lt;t&lt;a0 , otherwise Considering a=3,  ft=3+t9…

Q: Determine the inverse Laplace transform of the function below. e -45(-2s + 12) (s+6)(s+2)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2 S-2 2 S+2 Option 3 Option 2 O *The Laplace transform of the x(t) is 2e21 1 S - 1 s²+1 Option 1 O…

A: Let's do laplace transform of given function.

Q: 2a The Fourier transform of e-alt is fe-alte-iwt dt = . Evaluate, ∞ 1 G= 2² + 2π to three decimal…

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Q: 3. Find the Inverse Laplace transform of : 5s-2 a) s2 (s+2)(s-1)

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Q: 7. a) Find the Fourier transform of the function y = e-al=| (a > 0). b) Find the Fourier transform…

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Q: -1.5s Find the inverse Laplace transform of G(s)- $(1+e+e+e15$ s(s+2) -2.2s

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Q: i need the answer quickly

A: Given as,

Q: 3. Find the inverse Laplace transform of the function а — В (8 – a)(s – 3) ' (s – a)(s – 3)² ' (s –…

A: In this question, first we use the linearity property of the inverse Laplace transform. Then break…

Q: Example Find the Fourier transform of the rectangular pulse duration T and amplitude A T T SC) = 4…

A: The given problem is to find the Fourier transform for the given rectangular pulse function.

Q: find the inverse Laplace Transform of the functions     a.) 5/3s b.)14/((3s+2)(s-4))

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Q: Question 13: The Laplace transform of g(t) = { let t5 A) = e-3s B) e-3s e-5(S-1). C) S-1 D) None of…

A: To find- The Laplace transform of gt = 0t &lt; 5ett ≥ 5 is:     Formula Used-  ℒft = ∫0∞e-st ft dt

Q: 1- 3s Find the Inverse Laplace Transform of G (s) =- s2+ 8s + 21

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Q: C L An inductor, a resistor and a capacitor are connected in series with an emf of a certain…

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Q: Find1 the inverse Laplace transform of A) 4/(s-1)^3

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Q: 2s+4 7. La transformada inversa de Laplace de la función F(s) es igual a: (s2+s)(s2+1) a) f(t) = 4-…

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Q: Use laplace transform to find the initial-value problem of the followings; a) y'-y=2cos5t, y(0)=0

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

Q: ponse The Laplace transform of f(t) = et-3 cos(2t - 6) u(t - 3) + e-2" (cos(2t) – 1) S-1 3s e S-1 es…

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Q: 1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 -4i sinh (/51) 13 8 (t) = – 3e…

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Q: 2a Q3: Given F{e-altl} find the Fourier transform of the following using %3D w2+a? properties: 1.…

A: Solution

Q: 6 4 Find the Inverse Transform of F (s) = s s-8 s- 3 A f(t) =6+e-8t – 4e ³ B f(1) = -6+e + 4e ¬3« C…

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Q: 1 (5+3)(s+7) Laplace Inverse Transform of.

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Q: s-4 The inverse of Laplace transform of F(s) is s2-4s+4

A: The solution is,  f(t) = (1-2t)•e2t The detailed solution is as follows below:

Q: (2w-6)i The Inverse Fourier transform for 23-(3-w)i is 2H(( + 2)e-10-(2-3г)r O 4H(t + 2)e-10-(5–3i)t…

A: Given: 2e2ω-6i5-3-ωi

Q: 134 Second Year Dr. Atheer Alaa Sabri Mathematics Electrical & Electronic Engineering Department…

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Q: 2a The Fourier transform of e-alt is foe-alte-it dt = a²+² G to three decimal places. G = Round your…

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Q: [1+e-2t(s+1)](s+1) Find the inverse transform of s2+2s+2

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Q: 3.2 Derive Laplace transforms of the input signals shown in Figs. E3.2 and E3.3 by summing component…

A: To calculate the Laplace transforms of the given functions as described by the graphs