a) G₁(s) = 32-35+2 b) G₂ (8) = 3²+28+1 d) G4(s) = 2-e-3s = 82

Q: 2(s-3) L-1 s²–6s+13) (ix) 3s+2 (x) L- (s2-8s+25)

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Q: 2. Calculate the inverse Laplace transform of: 4 s²-9

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Q: Find the Inverse Laplace Transform of the following functions: 16 a. L s(s2–14) 483 b. Li{-32)

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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: (iii) L-1 (3s-1. 5 (iv) L-

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Q: Derive the Laplace transform for the following time functions: d. cos wt u(t)

A: The given problem is to find the Laplace transform of the given time function. Given f(t)= cos(wt)…

Q: -2s+6 -1 s2 +4

A: If Lf(t)=F(s), f(t) is called the inverse Laplace transform of the function F(s).…

Q: Find the inverse Laplace transform of the following function by using convolution theorem. :(&+2)*…

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Q: - f(t) = teat sin bt

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Q: Enter below the first three terms of the inverse transform of 4 z Z-1 Round the variables if…

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Q: Determine the inverse laplace transform of the following: (s+2)² 4 s²-1 s+6 82+9

A: As per the given instruction, we shall use MATLAB to find the inverse Laplace transforms for the…

Q: (vii) L-1_2(s+1) ls²+2s+10)

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Q: s+2 8. L-1{ s2-3s+4.

A: As per our guideline we are supposed to answer only one asked question.kindly repost other…

Q: Use the table of Laplace transforms to find the following 99 L 84

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Q: Find the Laplace Transform of the following: 1) 5t5 - 6t + 5

A: Given: 5t5-6t+5 To find the Laplace transform of the given expression L5t5-6t+5 The formula for the…

Q: 4s (v) L-1 s²–16) 2 (vi) L- ((s-3)5)

A: By using the table of Laplace transform we solve the given problem as follows :

Q: 2 5. f(t) = e-²t (t³ + 1)²

A: Some of the formulas of Laplace transformation . Ltn=n!sn+1Leat=1s-aLeatf(t)=F(s-a), L[f(t)]=F(s)

Q: on the function fcs) 35 - 17 s- 65+25 %3D

A: Inverse Laplace transform of function is : 12e3t(6cos4t-sin4t

Q: | Find the fourier series for the falowing function ; for o LtS T o ther wise

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Q: Find Laplace transform of the given function

A: Concept Used: Ltkft=-1kdkLftdsk also, Lsinat=as2+a2Le-btsinat=as+b2+a2

Q: 3s-16 3.) s2-24s+69

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Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s>0 L ea t =1s-a, s>a Now, Lt-e-3t=Lt-Le-3t L t…

Q: Write the general equations for the following: a. Laplace Transform b. Fourier Transform

A: The Laplace and Fourier transformation are two important integral transformations with kernel one.…

Q: 1 (e-v5t – evZt V2t )

A: To find the Laplace transform of the below function.1te−5t−e−2t

Q: Determine the Z Transform of the following: 1. 3 3. 5 6. 7. 8. 2. 2.

A: The signal x[n] is given as: n x[n] 0 0 1 0 2 1 3 2 4 3 5 4 6 5 7 4 8 3 else…

Q: S F(s) %3D (s+5)6

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Q: ansform of the follow 1

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Q: 6s + 3 s4 s² + 4 +5. 2

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Q: Solve the following Laplace Transform of Algebraic Expression: 5. Finf the L t?e-3t ? Show Solution.

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