Compute the inverse F(s) = ✓ 5²+45+40 Laplace transform

Q: L-¹ s+2 2s²+4s+ 7

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Q: -7 s(s+3) 2

A: Given: L-1-7SS+72

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Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: 8) e* as4t

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Q: Evaluate the inverse laplace transform: F(s)=4s-2/s^2-6s+18

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Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: Find the Fourier transform F(e-az) of f(x) = e-a if x > 0 and f(x) = 0 if x 0.

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Q: L-1{ 1 (s2+1)(s2+4s+8)

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Q: Find the fourier transform

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Q: find the fourier transform of the function St)= -at 2.

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Q: f(x)= 23, X cosx x2 x2월 욀

A: This question is for Laplace transform not for inverse Laplace.

Q: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

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Q: Find the Four

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Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: Determine the Fourier transform of e cl, with ca positive number.

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Q: Use the definition to find the Laplace transform of functions to follow

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Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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Q: -Obtain the Fourier transform of f(t): = sin (30) -t²+7it+12

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Q: FIS) = S-10 S2-65 + 8

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Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

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Q: Determine an inverse Laplace transform of the function. [2] a) 4s b) 2/54 +

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Q: Find the Inverse Laplace Transform of L-1{ 5s/(s2+6s+15)}

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Q: Find the inverse Laplace transform of 68 +4 8²-4 8>2

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

Q: Find the Fourier Transforms of the indicated function: f (x) = xe-|x|

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Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

Q: F(s) 8Bs - 7C (s + 3)(s - 4) (As − 1)

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Q: Find inverse laplace transform of 1 (5+1) (5² +1) -

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Q: I the Fourier transform of f(t)= 3sin5t +4cosl %3D

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Q: Write expoential Fourier transform of f(x) = e-l*l.

A: We need to find Fourier transform of  fx = e-x We know the formula for Fourier transformation of…