Compute the Laplace transform Lf (s) of the function f (x) = x2eαx for s > α.

Q: f(t) = 2sin(bt)sinh(bt)

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

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Q: x(k)-3x(k-1)+2x(k-2)= e(k), e(k)= [1, k = 0, 1 0, k ≥ 2 x(-2) = x(-1) = 0

A: Given Equation:Here, The objective is to use  transform to solve the difference equation.Concept…

Q: Get the function in algebraic form, state its representation in terms of the function unit step and…

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Q: Calculate the Fourier transform of f(x)= e if x>0 and f(x)30 otherwise

A: To find - Calculate the Fourier transform of fx = e-axif x > 00otherwise

Q: Find the inverse fourier transform of f (p) =e

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Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: F(s) s2 s-2 3. 5.

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Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx>0e2xx<0 To Do: Find the Fourier Transform of the given function.

Q: Solve the Laplace Transform f(x) = 2/x

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Q: F{6f"(x) – 2f' (x) + 7f(x)} =

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Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: Obtain the Fourier transform of the function where f(x) = 0 for x < 0 and f(x) = e−axsin(bx) for…

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

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Q: (t – 1)* 24 24 12 4 1 24 24 12 4. O option 2 Option 1 24 - 24s- 12s2+ 4s° + s4 24 - 24s +12s2- 4s +…

A: Using Laplace Transform to Evaluate the Function (t-1)^4

Q: Find the Fourier Transform of f(s) = e-ax= a >0

A: The Fourier transform of a function  is given by :

Q: Find the Fourier transform for f (x) xe c > 0

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Q: the Laplace transform of the fure

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Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

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Q: The Fourier transform of a continuous-time function .x(t) is X (f) = x(t) e-j²nft dt

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Q: Find the Fourier cosine transform of e-x.

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