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

Q: Find the Z transform of:

A: In this question, we used the formula for Z-transform which described in step2

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: find the inverse laplace transform

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

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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: Determine the Laplace Transform of cos³3t

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Q: Find the Fourier transform of f if (e* jkax > 0 * ikax<0 Note : jika = if

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

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Q: Find the inverse Z-transform of x (z) = tanh z

A: The given data is: xz=tanh-1z To find inverse z-transformation of the given data.

Q: Find the Inverse Fourier transform of Tre-la.

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Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t&lt;0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

Q: Calculate the Fourier transform of f(x) = (1 – 2)e-(z-a)?/2_

A: Calculate Fourier transform of e-x-a2/2:  ∫-∞∞e-x-a2/2·e-jωxdx=e-jaω∫-∞∞e-x-a2/2·e-jωx-adx-a…

Q: Determine the Fourier transform of f(t) = te-2t u(t), where

A: Given ft = te-2tut where ut =0     t&lt;01    t&gt;0 The Fourier transformation is given by Fw…

Q: Derive an expression for the x(t) and Determine the Fourier transform of the signal x(t) shown in…

A: The Fourier transform of the function is represented as , it is defined as , where . Since the…

Q: What is the Fourier transform of the following e-j10ntx(t)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-jktf(t)dt,…

Q: Find the Fourier transform of the Gaussian function f(x) = e-ax".

A: Note "As per our company guidelines we are supposed to answer ?️only first question. please repost…

Q: Find the Laplace transform of equation.

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Q: . Find the Fourier transform of (x if 0<x< a f(x) 0 otherwise

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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: Find the fourier transform of: | coshw,t

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

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Q: Find the Fourier transform for x[t] = at*u[t], |a| &lt; 1

A: Given function is,

Q: e at -e bt

A:

Q: Determine the Laplace Transform of: L{te-2cos2t}

A: Some Laplace transform: L{eatcosbt}=s-a(s-a)2+b2 L{tnf(t)}=-1nFn(s)   Apply above Laplace formulae…

Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: Compute the Fourier transform of the following signal: x(t) = e-31e|sin(2t)u(t)

A: The Fourier transform of the function x(t) is represented as X(w), it is defined as ∫-∞∞e-iwtx(t)dt,…

Q: -21 e * u(t) + e ª u(1)

A: The given function is    e-tut+e-2tut Let xt=e-tut and x1t= e-2tut

Q: Determine the Laplace transform of (1+2)' -e +sinht 3 -St te st

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Q: Find the Inverse Laplace Transform.

A: The given function is Fs=10s-48s-53. Let 10s-48s-53=As-5+Bs-52+Cs-53. Remove the fraction and obtain…

Q: Find the fourier transform of following signals a. x() = cos (2xf.1) b. x(1) = sin (27f 1) c. For…

A: Calculate Fourier transform of cos22πfct: Fcos22πfct=F122cos22πfct-1+1…

Q: Find the inverse laplace transform

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Q: Compute the Fourier transform of the Heaviside function

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Q: Find the Inverse Fourier transform of Te-lw||

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Q: FIND THE INVERSE LAPLACE TRANSFORM

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Q: Ucs]: ucv) if the given Ucs) =

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Q: a) Find the finite Fourier cosine Transform of f (x) = x² in 0 < x < 4.

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Q: Determine the Fourier transform of the following periodic signal 1+ cos(at + 5)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as…

Q: Find the Fourier transform of f(t) = [Aeat ]u(t) %3D and draw the amplitude and phase spectrum

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Q: Find the exponential transform of the function {1, Pi/2<x<pi. and 0, otherwise} and write f(x) as a…

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Q: Find the Fourier transform of (а) f (г) %—D еxp (-ах?), () f (») — еxp (-а \x),

A: To find the Fourier transform of the below functions. fx=e−ax2 fx=e−ax

Q: Find the Fourier transform of the function : S (t) = e-x2 %3D

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Q: x(t) A -1 -A

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Q: 4. Calculate Fourier transform : for a >0 r(t) = e-a'u(1)

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Q: Determine the Laplace transform of (1+2)° -e* i) + sinht 3

A: Laplace transform of the function

Q: x(t) + 3 -2 2

A:

Q: Find the Laplace Transform of the periodic square wave below 3

A: From the given periodic wave, ft=3,    if t∈2na,2n+1a,   n∈ℕ∪01     if t∈2n+1a,2na,  n∈ℕ

Q: Calculate the inverse Laplace transform

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Q: Find the Fourier sine transform of (sinx, 0a (2) %3D

A: Fourier transform

Q: Find the Fourier Transform of f) = { - z - n<x< 0 0 <x<T

A: We have to find the Fourier Transform of…

Q: Find the Fourier transform of f(t) = 5e-3|t|_ %3D

A: To determine the Fourier transform of the below function. ft=5e−3t