Find the Laplace Transform of the following periodic functions -a-e")- F(s) = 0

Q: a)The graph of the function f(t) The Laplace transform directly implies F(s). Find by definition.…

A: PART A The function graph will be given as follows :

Q: Q4 Solve step Functions in Laplace transform t < 6 x ≥ 0 f(t)= = { = 8+ (-8+ (t-6)²

A: The given problem is to find the Laplace transform of the given unit step function. Use the…

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: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: 7. Using Lyapunov functions, show that the origin is unstable for the ODE i = -x3 ÿ = -y3

A: The solution is given below

Q: Determine the value of 'k' if the L[ tk³t] =1/(s² -5.5s + c).

A: Solution

Q: -4s 8e- Find the inverse Laplace transform f (t) = L-'{F(s)} of the function F(8) s2 + 64 Use h(t –…

A: Consider the provided function,

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: 1 1 s? +4 s -4 (s+3)

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Q: 3) Determine the inverse Laplace Transform. where f = L{F}. 4 F(s) = In s- 3, %3D

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Q: 1) x(t) = 1(t- 47T)

A: Solution 1: Given function is x(t)=1(t-4T)           (1) Let the z-transform of x(t) is X(z)…

Q: X1, ., Xn are idd. find the MLE and cramer rao lower bound for unbiased estimator for theta. f (x |…

A: Given  fxθ=θ              when x=-11-θ2θx     for x=0, 1, 2, ....

Q: 2s2 +13s+6 Find the inverse Laplace transform of H(s) = (s+2)2(s-1) assuming that a) h(t) is causal…

A: We will find out the required inverse Laplace transform of H(s)

Q: (a+t for -a<t<0 a2 4) Find the Fourier transform of f(t) = %3D a-t for 0<t <a where 'a' is any odd…

A: The Fourier transform of ft=a+ta2  for   -a&lt;t&lt;0a-t a2 for   0&lt;t&lt;a0         otherwise…

Q: Q1: Find inverse Laplace transform of the following functions 3s s²+2S-8 4) F (s) = 5) F(s): = S+12…

A: The given problem is to find the inverse Laplace transforms of the given functions.

Q: If F(s) = {f(t)} and n = 1, 2, 3, . . . , then L{t^f(t)} = (−1)n d^_F(s). dsn Evaluate the given…

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Q: BIJ Compute the derivative f'cts for 5./ fcto= log (x

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Q: What is the laplace transform of the periodic function shown in the picture.

A: Solution

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: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: Question. By using Laplace transform, solve the IVP where y" - 3y = f(x); y(0) = 1, y(0) = 0 { f(x)…

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Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

Q: F(s) = (5 + 3 s+3e = (F(x بر 3² (3+2) 38 +4 F(s) = 2 + 6s + 13)

A: Given: Fs=s+3e-3ss2s+2 We know, L-11s=1,…

Q: Laplace transform of (e sin? c) 1 (s + 1)(s² + 2s – 4) (s + 1)(s² + 2s + 5) O Option 1 O Option 2 2…

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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: 3. Find f. (g) f'(x) = 2x – e

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