Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) S 12}} (s- 3)(s-4) (s - 12) عاء

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

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A: Since you have asked multiple question, we will solve the first question (a) for you. If you want…

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Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

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Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: Solve the Fourier Transform of the function using the different Fourier Transform properties and…

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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:

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Q: 5. Find the Fourier transform of of 6e-lt.

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Q: Determine the Fourier transform of: f(t) = (t-3)² e-8t H(t-3) Your answer should be expressed as a…

A: Define a function gt=92t2e-8tHt.  Now, Fourier transform of 92e-8tHt is:…