Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) <(6+1) 6s + 1/ X

Q: 1 F(s) = s(s² +2s + 2)

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 2s – 3 - 1. F (s) (s – 2)²(s + 5) 2s 2. G(s) = s2 + 8s + 25

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Q: 2e-2s 22. F(s) = s2 – 4

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Q: What is the Inverse Fourier transform of: F(w)=, (w+6) Your answer should be expressed as a function…

A: To find inverse Fourier transform of Fw=-46+iw3 , we can use some standard Fourier transform…

Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: 2s3+ 4s²+1 F(s) = (s²+ 2s+17)(s²+ 4s+20)

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Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

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Q: 5s+3 6s F(s) = (5s2+4s+1) -- 9 s2 +7

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Q: F(s)= (s +1)es» s²(s + 2) -5s

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Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: Problem 3. Which gives the inverse transforms of the given s-domain function?…

A: Given problem:-

Q: s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1<t<0 otherwise

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Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation:

Q: X(z) = z² N N (2--/-)² (2-²) 3/

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Q: Solve the fourier transform of the following functions: 2. f(x) = {x if 0 < x < a otherwise

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Q: (s+1)(s²+1)

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Q: t, f(t) = 2t - 1, 0, 0 < t < 1 0<t<2 otherwise

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