Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) r 2.1s +0.6)} (s 0.1) (s + 0.6)

Q: N= 20 , a= 6 a. Find the Fourier Transform of the constant function f for f(x) = N, 0<x < N (Note: N…

A: Given N=20 and a=6 Since Fourier transform of f(x), -∞&lt;x&lt;∞, denoted by F(ω) where ω∈N, is…

Q: 2 Q1) (Step functions) The graph of the function g(t) is given on the right. unit step functions.…

A: Given

Q: Determine the inverse Laplace transform of each of the following: 3e-2 F(s)=2-9 (a). (b). F(s) =…

A: We have to find out inverse Laplace transform for given functions.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the inverse Laplace transform L-{F(s)} of the given function. 20 F(s) s2 + 16 Your answer…

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Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is…

A: It is known that: If Lft=Fs, then  Lftt=∫s∞Fudu. Lsinat=as2+a2

Q: a. Find the inverse transform of F(s). b. Sketch the graph of f(t). c. What is f(1.5) d. What is…

A: We have given F(s) = 2s-3e-ss2+4e-2ss2. If L{f(t)} = F(s) then L-1{e-asF(s)} = u(t - a)f(t - a),…

Q: 5. Consider the following function: f(t)= Find the Laplace transform of this function. Lis odd -1 is…

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Q: Find and simplify the Laplace transform of the following functions, indicate the formula number from…

A: Formulas:Given the function .Consider .Differentiating, we getThis is essentially our function u(t).…

Q: Q1: Find inverse Laplace transform of the following functions s+12 6) F(s) = s2+4s

A: Given function is F(s)=(s+12)/(s^2 +4s)

Q: THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{{t)} and n = 1, 2, 3, then .... L{t'{t} = (-1)"…

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Q: Solve the fourier transform of the following functions: 2ix if-1 < x < 1 otherwise 1. f(x)= = {e²

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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: Using the table in your lecture notes, find the Laplace Transform of each of the following function:…

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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: 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: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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

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Q: Q9. Use Laplace transform to solve the ODE. X-4x +3x =-8cos4t, x(0) =0, x(0) = 0 %3D

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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: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: If f(t) is a function of t defined for all positive value of t, then the Laplace transform of the…

Q: Use the definition of Fourier Transform, i.e. the equation f(t) = LF(@) elatdw to find the Fourier…

A: Using the given definition f(t) =12π∫-∞∞F(ω) e j ω tdω we have , F(ω) =12π∫-∞∞ f(t) e -j ω tdt…

Q: Find the inverse Laplace transform L-'{F(s)} of the given function. 10s? – 24s + 96 - F(s) = s(s2 +…

A: To solve given problem first we  do partial decomposition of given function then taking inverse…