pply the theorem L(f* g) = L(f)L(g) to find the inverse Laplace transform; also do it in mother way when indicated (a) (-3) (also use partial fractions and the theorem L-1 (F()) = f f (7) dr) 1 b) ($²+9)²

Q: Q4/ Find the inverse of Z-transform if 2(z2+z) x(z) =7-1,5z+0,5

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

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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…

A:

Q: Q1\ Find the Z-transform of A) cosh 2

A: The given question can be solved as shown in step2.

Q: What is the result of performing a Fourier transform on the Fourier transform of animage? Try it…

A: Fourier redesign is an important image processing tool used to convert image into its sine and…

Q: Etample T4 Find the inverse finite cosine transform f (x) if (2nn cos 3 where 0<x < 4. F(n) = (2n +…

A: Inverse finite cosine transform

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

A:

Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: z-transform of the sequence x(n) : =3u(n) is 3z/(z-1) O (z-1)/30 z/(z-3) O

A: We find Z-transform of x(n)=3u(n)

Q: Find the inverse Z transform of X(Z) = z^(-2) + 2z^(-3) + 5z^(-4)

A: Formula: The inverse z-transform of the function X(z)=z-m is δn-m. Given: X(z)=z-2+2z-3+5z-4 To…

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: 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: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: Find the inverse Laplace transform L-{F(s)} of the function F(s) s2 + 9s – 10 NOTE: The answer…

A: The given problem is to find the inverse Laplace transform of the given function.

Q: do the inverse laplace transforms of the rational function F(s)=(s-2)/s(s^2 -4s+8)

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Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

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Q: Find the inverse Laplace transform f(t) = £¯¹ {F(s)} of the function F(s) = e −3s (1 – 4s) s² + 16

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Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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Q: Evaluate L{t sin kt} (Use the Derivatives of Transform)

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

A:

Q: (b) What is the Fourier Transform of x?8(x² – a²)?

A: The given problem is to find the Fourier transform of the given function, in the given function…

Q: Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b)…

A: Solution:

Q: Find the inverse Laplace transform f(t)= C1 (F(s)) of the function F(s): 36)}-Oh f(t)=c-1 {-(; 6 +64…

A:

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: Example F(s) = find the inverse Fourier transform: 6(s + 10) (s + 5)(s+8)

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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: Solve the Inverse Laplace Transform 6 1 F(s) = ((25 + 3)² + = -) 0 ² e 5s 3

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Q: suppose x (t) hasFourier transform X (w) = e^¯w find Determine transforms of x (2t) and x (t + 1)

A: Fourier transform of these functions are found by using properties of Fourier transform.