What is the relationship between e -st L [u(t)] = F(s) = 5 e² 44 dt and the following transform 8 -st N[u(t)] = R(s, ws = √ e = 4/ (wt) at 0 where N {1}= → N{+} = W 52 N{e}= 5-aw الواجب :

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

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Q: 4] Find the Laplace Transform of f(t) = { S-1 (-/= + 5 = /₁1) (1te - 1/₁1) (a) (c) S S - I (b) (d) S…

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Q: Determine the Laplace transform of f (t) = 6e* +e* -9 O 16/s-5)] + [1/(s+3) - 19/s] O 16/(s+5)] +…

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Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: 2. (a) For n 2 0 write out the fint four terms of the sequence z(n) 3(-3)" and then use the…

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Q: B/Fnd Z transform z(n) = " (n) – u(n-5))

A: Given equation: x(n)=15nun-un-5

Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: c) Use a pair (table) to findz-transform of x(n) = 20.65 √2 cos((-)n-1.415)u(n)

A: Introduction: There are many properties that are followed by Z-transformation. It helps us to…

Q: O. What is the Laplace transform of f(t)=2t+3? * (2+3s)/s^2 2+(3s/s^2) 1+(3s/s^2) ) (1+3s)/s^2

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Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: If (p) is the Fourier Sine transform of f(x) for p>0, then prove tha Af(x}} = - (- p) for p<0.

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Q: Find the inverse laplace transform of the followings; a)  X(s)=(s+2)/(s^2+2s+5)…

A: a) Xs=s+2s2+2s+5 Apply Laplace Inverse transform…

Q: What is the Laplace transform, Y(s) for 3y" + 2y'-y 5 where y(0) = y'(0) = 0? %3D a. (3s-1)(#+1) b.…

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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: Which of the following statement(s) are true? Choose only 2 statements. Lütfen bir ya da daha…

A: The solution is given as

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: The Laplace Transform of d(t) = * O -1/(s+6) O 1/(s-6) 1-/s O 1/s O 1/s^2 O 1 O 1/s^3

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Q: Q2// choose the correct answer : 3z 1) If x(n) = (0-3)"u(n) ,then Z-transform= a)x(z)= 2-0-3 b)x(z)…

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Q: I have not yet been taught Laplace Transform by my lecturer, I believe. Isn't there another way…

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Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2+64)^3 O (1024 -…

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Q: M= 2 Solve the following difference equation by using Z-transform by replacing the value of M as per…

A: Given that,yk+2-2Myk+1+M2yk=M 2ky0=0, y1=MFor M=2,yk+2-22yk+1+22yk=22kyk+2-4yk+1+4yk=2k+1y0=0, y1=2

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: ts] Transform the following to principal аxes: а. 5xỉ + 2x1x2 + 5x3 = 10

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Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question.…

Q: What is the Laplace transform of x (t) = e^- t cosπt ? Select one:

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Q: Given that the Fourier transform of e- πt^2 is e- πs what is the Fourier transform of the following…

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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…