3.44. Find the Laplace transform of x() given by otherwise

Q: 4. f (t) = x5e(1-x)

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Q: 6. Find the iverse Laplace transform of the following functions. (a+1)e ¯ a) F(s) = %3D 2(s – 1)

A: Given:

Q: Find the Laplace transform of the given function. 5. H(t – 10)e6t

A: We find the Laplace transform of the given function.

Q: 8. f(t)=t"² 7/2

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Q: Find the Laplace transform of the function in the diagram. 3 1 3. 5678 -2 f(1) = f(r+ 3)

A: Given: f(t)=10<t<101<t<3f(t)=f(t+3)So period p =3Formula Used:For a periodic funtcion…

Q: Find the inverse Laplace transform L-¹{F(s)} of the function F(s): L-¹{F(s)} = = 2 s²+7s 8 NOTE: The…

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Q: 10. What is the Laplace transform of the function below? R L{(e*t + 4)H(t – 4)}

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Q: Find the inverse Laplace transform of (s² + 4) s(s² +16)

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Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: 7. Find the inverse Laplace transform for the F(s): (S-2)e-2s 4s + 3 5² Hint: You may need unit step…

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Q: f(t) = when 0 k

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Q: 8. Find the function whose Fourier sine transform is the following function. S[u] - 2 0 x = [1, 2],…

A: Given: Fourier sine transform is given as Su=2x∈1,21x∈(2,3]0otherwise. To find: The function which…

Q: Find the inverse Laplace transform of the given function. 3! F(s) = (s-9)4 NOTE: Express your answer…

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Q: fCt = [ Htu (t-π) Jun (37)

A: As per the question we are given the following function : f(t) = [1+u(t-π)]sin(3t) And we have to…

Q: 5. The fourier transform of the function f(x)=eI, is 2 4- w? O b. 2 w? -4 4 С. w? - 4 Od. 4+w? 4.

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Q: 4. Find the inverse Laplace transform of the function as +b s2 + 32" G(s) : %3|

A: We use the table of inverse Laplace transform to solve the given question.

Q: Find the inverse Laplace transform L¯¹{F(s)} of the function F(s) L-¹{F(s)} = = 6 (s − 1)³ NOTE: The…

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Q: Find the inverse Laplace transform F(s) 8 s² + 16 Your answer should be a function of t. L-¹{F(s)} =…

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Q: 5. f(t) = 3e -3* (4cos5t – 3sin7t) 6. f(t) = 3(2 – 2e-at)

A: 5)  Given function , ft=3e-3t4cos5t-3sin7t . . .(1) We use some formulae Laplace transform:…

Q: 4) f(t) = [ Hu(t-IT) Jun (6) fœ

A: Laplace transform of the function

Q: 11. What is the Laplace transform of the function below? L{(cost)H(t – 6)}

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Q: 3. Find thei z transform of thể fallowing Signals. di x(k)=() ü (k-1) e.

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Q: b. Given the piecewise function St, te[0,1] g(t) =- Find the Laplace transform of g(t).

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Q: Find the inverse Laplace transform for the F(s): F(s) = = s² 4s + 12 Hint: You may need to…

A: The given Laplace function .The aim is to find the inverse Laplace transform of the function.

Q: (A) Find Inverse Laplace transform for the following functions. 25+4 1.- 2.tan-¹) (5²+45+5)²

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Q: Describe all extensions of the identity map of ℚ to an isomorphism mapping ℚ(3rd root of 2) onto a…

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