10- 6- X f0 -8|-6 10 ..... The Laplace transform of f(t) is F(s) =|. (Type an expression using s as the variable.) It is defined for for s> |: (Type an integer or a fraction.)

Q: 7 The inverse Laplace Transform of the F(s)==+ is (s-3)

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Q: 1) Find the inverse Laplace transform of the following: a) L-1 s+1 ans:A = , B=- e* -e s2-7s+6. 5' 5…

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Q: 3.) f(t) = ½ (4-3) ² u(1-3)

A: Laplace transform of the function

Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)

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Q: Give the Laplace transform of 0<x and x <5 5 <x and x <7 -3 f(x) = -2 -s - e +4 e-5- e7+0e-7. FYs) =…

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Q: 2s + 1 s- 1)2 + 7

A: Given that: 2s+1(s-1)2+7

Q: 2. Laplace transforms of the function e^-2t is * 1/2s s+2 O 1/(s+2)

A: We have to find the Laplace transformation of the given function.

Q: Find1 the inverse Laplace transform of A) 4/(s-1)^3 B) s+17 s²+4s-5

A: To find the inverse linear transform of the given functions.

Q: 3s +5 Let X(s) = be the Laplace Transform of a signal x(t). Then, x(0+) is %3D s + 10s + 21

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Q: A. Find the inverse Laplace transform of the following transfer functions. 5s²-2s-19 3. (s+3)(S-1)²…

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Q: 3. Find the Laplace transform of the piecewise function 03

A: To find the laplace transform of the given function.

Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)…

A: Solution is given below:

Q: II. Find the inverse Laplace transform of the following functions: 5+5s 1. s2+5s+19 3. (s²+4)(s²+9)…

A: (1). 5s+5s2+252

Q: 29. 29. Find inverse Laplace transform of 1 (a) g2 — 38 + 2 )b( - 1 s3(s+1)

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Q: 2s -18 -as a function of x. 2 s*+9 Find the inverse laplace transform of -

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Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Find the laplace transform of e-6l Note that the Laplace transform of eat is L{cat } = 8-a

A: Find the Laplace transform of e-6t: Formula: The Laplace transform of ea t is 1s-a, i.e., Lea t=1s-a…

Q: Fin, the Inverse Laplace TranSForm 10-4s 21) F(s) =- (s - 2)° Ans. f(1)=e² (21 – 4)

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Q: 8 - 29 g2 – 4s – 5 Find the inverse Laplace transform of F(s) f(t) = ||

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Q: 2-5s (s-6)(s2 +16)

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Q: Find inverse Laplace transform of: S- 10 S2 - 25 + 10

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Q: II. Find the inverse Laplace transform of the following functions: 5+5s 1. s2+5s+19 3. 2-5s 2.…

A: Given  (2-5s)/((s-6)(s2-11)) Now we have to find the inverse Laplace transform of above as shown…

Q: Q1-B) suppose x(t) has Fourier transform X(w) = e-@ find Determine transforms of x(2t) and x(t + 1)

A: Fourier transform using properties.

Q: 2. Determine the Laplace Transform of the signal shown below. Only one cycle is shown but the signal…

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Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question.…

Q: 8-1 Find the inverse Laplace transform, y (t), of L-'[ using the first shift theorem: 282+5s+2 If…

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Q: 1: Find the inverse Laplace transform of the function: -2s3+12s2-8s- 4 F(s) = (s-2)2(s+ 1)s

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Q: 3. Find the inverse Laplace transform of the function (a - B)2 2(a - B)3 (s - a)(s – B)3 a - B F(s)…

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Q: Let f(t)=t-1 if 3 ≤t (0 if 0≤t<3 By using the definition of the Laplace transform we find that…

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Q: 3. Find the Laplace transform of the piecewise function 0St 3

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Q: 6s +3 Find the inverse Laplace transform L¬{- } (s² + 1)(s² + 4)

A: Topic = Laplace transform

Q: b) Find the Laplace inverse transform of (s-4)(s²–9)

A: The equation for Laplace transform is 1s2-4s2-9.

Q: 1. Find the Inverse Laplace Transform f (t) of the following if F(s) equals: ii. 1 s3-ks2 ii. s3-5s

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Q: 1. Find the Laplace transform of the following: a) f(x) = x5 e-* b) f(x) = x3 + 3 cos2x 2. Find the…

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Q: Using the table to find Laplace transform of 6e-5t +e3t + 5t3 -9

A: Given, 6e-5t+e3t+5t3-9 Find the Laplace Transform of this function in the following.

Q: 3S+7 2) Find the inverse Laplace Transform of F(S) %3D s2-4S+5

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Q: -7s Find the inverse Laplace transform of the following function F(s) = %3D s2 + 2s – 8 |

A: The given function is F(s)=e-7ss2+2s-8. Find the inverse Laplace transform of the function…

Q: 3.15 - Find the inverser Laplace transform of the following functions: 2s4+9s³+15s²+s +2 h. G(s) =…

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Q: Determine the Inverse Laplace Transform of S-- 5 S-3 (s+1)(s³-27)

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Q: 7. Find the Inverse Laplace Transform of 1 s²-8s+25

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Q: -25 The inverse Laplace transform of F(s) = A. 0.2(1-e St-5))u(t - 5) B. 0.5(1-e 5(-2))u(t- 2) C.…

A: Given  Fs=e-2sss+5

Q: 1 (iv) If f(t) = e2ºH(t), its Fourier transform is F(@) = -2+iw

A: In this question we have to find whether it is true or false.

Q: 1) Find the Inverse Laplace Transform of the given function. 3s? – 3s +8 - (s² + 4Xs – 3)

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Q: 1. Find the Inverse Laplace Transform f (t) of the following if F(s) equals: i. s2+² 1 i. 1 s3-ks2…

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Q: -g² +2s + 4 (8 - 2)3

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Q: 3. Determine the inverse Laplace transform of the following using the convolution theorem: 4 s²(S-2)

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