ne Laplace transform of f (t) = 6e* +e* + 5² –9 16 4 F (s) = s- 5 9 + s-4 s4 s2 30 9. F (s) = – s- 5 s+3 55 5 + s+6 24 3 F (s) s+3 30 F (s) s+5 s- 3 s4 + 6

Q: 2s + 2 s(s+1)(s+4) 2s +5 (s +1 −j)(s+1+j)

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Q: Find the Fourier transform of 8(t+2) + 8(t – 2).

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Q: Find the given inverse transform (1) c{ (i) L-1 s2 + 6s + 1 1 1 (ii) L-1 |(s – 1)3 ™ s² + 2s – 8

A: The Laplace transform of a function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace…

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

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Q: 1 1 1 1 1 (z + 1)(z + 3) z +4 (z + 1)(z + 3) 1 1 2 z + 1 2 z + 3 3 1 1 1 2 z + 1 2 z +3' 1 1 1 1 +…

A: By using partial fraction method we solve the required problem as follows :