6.1 Which of the following functions, depending on the variable s, does NOT have a continuous inverse Laplace transform? a) b) d) 4s +9 (s - 19)4 48² +9 (8-19)4 $4+198- 9 (s +19)4 S³+198-9 s(s+19)³

Q: Find the Laplace transform of each function: y = S(x)

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Q: Q2. Fine the inverse of two Laplace transform for follo b. L-1 58 $²+9

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

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Q: 1. Find the Lapace Transform of the function f (x) = x. Show all your steps and be sure to use…

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Q: Determine the Laplace transform. L{2et - t +6}

A: Given equation for Laplace transformation is L2e-t-t4+6

Q: Calculate the Inverse Laplace transform of the following. Please write down all the steps of your…

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Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: Let x₁(n) = 3¹u(n − 2). What z-transform property is applicable? A. Linearity B. Time shifting C.…

A: Hints: The z transform of the function anu(n) is zz-a. The given function is 3nu(n-2).

Q: s2-2s -n: (s-+4)(s-+4s+5)

A: Given: s2-2ss2+4s2+4s+5

Q: EX: find the inverse of transform e-3s S2 -9

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Q: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: Find the inverse Laplace transform L-1{F(s)} of the function F(s) = - 4 (8 – 4)³ NOTE: The ansuwer…

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Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

A: We have to find the Laplace inverse transformation of and

Q: Find the inverse Laplace transform L-{F(s)} of the function e-2s F(s) : %D s2 + 5s – 50 NOTE:…

A: Given that Fs=e-2ss2+5s-50 We have to find the inverse Laplace transform of Fs that is L-1Fs For…

Q: A) Find the Laplace transform of the following:- 3) L(Vi +e-t)* 4) L(e2 cosh 3t - e t5)

A: Laplace Transform: Given a function defined for all real , the Laplace transform of is a function of…

Q: 8. La transformada inversa de Laplace para la siguiente función: 2s – 7 F(s) Está dada por: (s -…

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: What is the Laplace transform of the function: F (1) = cosh 4t where cosh 4t = A $2– 16 B s2– 16 s2–…

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

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: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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Q: 5. Find the Laplace transform of the function: f(t) = 6e-5t + e³t + 51³-9 Simplify your answer to a…

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Q: 2. Determine the Laplace transform of the given function using the Table coshbt te3t sin2 t

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Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2+s+6)(s²+5)

A: To solve given question first we write the partial fraction decomposition of given function and then…

Q: Q1. a) Derive the Laplace transform of 3e4t from first principles (i.e. without using the list of…

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Q: Find the inverse Laplace transform of the following expression (E Plaasa (1) X(s) = = se-2s s2+4s+13

A: We have to find the inverse Laplace transform of the given expresssion.

Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: Find the Fourier transform of the following functions: (₁) f(t)= (11) "-(1+t), -12 t ≤0 t-1 04+ ²1 อ…

A: We have to find the Fourier transform of the given functions: (i) ft=-1+t-1<t≤0t-10<t≤10t>1…

Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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Q: Q1: Find inverse Laplace transform of the following functions 3s 4) F(s) : s2+2s-8

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Q: Find the inverse laplace 1.) F(S)= 5-2 5-45+5 laplace transform

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Q: Find the Inverse Laplace Transform of the following: 8s2 –4s+12 1. F (s) 53+4s

A: The solution is given as