Compute the following Laplace transforms using Table 26.1 on page 460 (Transforms of Common Functions) and, where appropriate, properties of the Gamma function: (a) t^(3/2)

Q: 4. Find L'{ -}. Give table number. 3-5S

A: We have to find L-123-5swe are going to use the formulaL-11s-a=eat ——(*)

Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: Laplace transform of {(e^2-t)U(t-2)}

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Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

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Q: S , use the translation property to compute eat cos bt). *** Given that cos bt)(s) = s². Click here…

A: The translation property is: Leatft=Fs-a

Q: Describe the connection of Chebyshev to Fourier.

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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: Find the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to…

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Q: Question 2: Calculate the inverse Laplace transform of the function F(s) = (s + 1)/(s^2 + 4s + 5).

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