1. f(t) = (sin t 0 0

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

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Q: -3(1-cosh 377t) t

A: We are given : -3(1-cosh 377t)t Let, f(t)=-3(1-cosh 377t)t Now, L-3(1-cosh…

Q: Find the Laplace Transform of each f 5 2-2 3 t 3 t<2 b. f(t) = 2 2 2<t<3 a. f(t) =

A: Formula for Laplace Transform

Q: 8. (a) 2e' (cos 3t – 3 sin 3t) (b) 3e-2 (sinh 2t – 2 cosh 2t)

A: Given functions: (a) 2etcos3t-3sin3t (b) 3e-2tsinh2t-2cosh2t   We know that,…

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: 2 5) L-1 (s – 2)³. s+2 6) L-1, ls² + 4s + 13)

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Q: Find the inverse 2-Transforrm of log(z f log 241 by Power senies method and by division method

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Q: Determine the Inverse Laplace Transform as a function of t. Write your solutions and answer on the…

A: We have to find :L-14s2+6s+18

Q: 1. (a) 2re2 (b) t²e'

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

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Q: 7 7. Determine the solution to the I.V.P. y"+7y'+12y=2le*,y(0)=y'(0)=-10

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: (vii) L-1_2(s+1) ls²+2s+10)

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Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: 1 (s² +25)²

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Q: Determine an inverse Laplace transform of the function. a) **[0-3,²]- 3e 4³²- b)

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Q: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

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: -35 s²−2s+4²] S³ + 4s 3

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Q: Determine the transform of the following functions using any methods . t^2 sinh 3t

A: According to the definition, the transform of the function f(t),  is given by L[f(t)]=∫0∞e-stf(t)dt,…

Q: Find the la place transform of the following. Simplify your answer f(+) = sin3t Sinht

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Q: 3. (a) e' cost (b) 3e2' sin 21

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Q: 6S- 5 4s+7 2.

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Q: 12. Laplace transform is used to convert function in terms of distance into a function in terms of…

A: 12. Laplace transform is used to convert function in terms of distance into        a function in…

Q: 1 (e-v5t – evZt V2t )

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

Q: ind the Laplace transforms of the given functions.

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Q: Determine the graph and the Fourier coefficients of the following function: that describe the…

A: Determine the Fourier coefficient of f  f(x)= 0 , -π&lt;=x&lt;=0 .

Q: 6s – 5 3. С 4s +7 3s-2 4. с [s² +8s+25

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Q: Derive the general formula for the Laplace transform of the following functions:

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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: Find L-1 (24) 3 2s-4

A: Answer

Q: A snack company is preparing two mixtures of snacks from a supply of 110 pounds pretzels, 30 pounds…

A: Given that, A snack company is preparing two mixtures of snacks from a supply of 110 pound pretzels,…