Suppose that you manage to compute the Fourier transform of f(x) I+25. (Don't try this; it is really nasty.) Is it true that A(-k) = A* (k)?

Q: . Find the Z transform of : x(k) = (2)*sin,k

A: Z transform

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: 3-2s 2. F(s) = %3D s2 +4s+8

A:

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: Find the Fourier transform of f(x) without using the Fourier transform table. f(x) = e-l×l. (-0 <x<…

A:

Q: Determine the inverse z-transform of X (2) : r (n] is noncausal (1-=1)(1-3-1+3=)’

A: Given that, Xz=1-z-11-13z-11-73z-1+23z-2 x[n] is noncausal.

Q: Find the Laplace Transform of: e-2 -2t sin2t + e3tt2

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Q: Find the Fourier transform of (a) f (x) = sin (x²), (b) f (x) = cos (x2)

A: 4. Given that,fx=sinx2andfx=cosx2The Fourier transform of the above functions isdetermined as shown…

Q: 3o otherwise Find the Fourier transform of (x if 0 <х<а lo otherwise f(x) =

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: 3. Find the Fourier transform of (a) f (x) = (b) f (x) = x|

A: To find the Fourier transform of function f(x)=1x

Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: 4. Find the inverse z-transform of X(Z) = (22-4) (2+3) Xx and also find o, 1,

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Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

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 sine and cosine transform of f (x), if х, 0 2

A: Fourier Cosine transform and Fourier sine transform

Q: Determine the causal signal x(n) if its z-transform is given by 1+22-2 1+z-2

A:

Q: Find the Fourier transform of f (x)- 2ix if -1<x< 1 lo f(x) = otherwise

A: The Fourier transform of the function f(x) is defined as ∫-∞∞eikxf(x)dx. The Fourier transfrom…

Q: Example 8: Find the Fourier transform of the function 1+ for - a <x <0 a f(x) = 1 1- for 0<x<a a 0,…

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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: Compute the Fourier transform of the following function: f (x, y) = e-(1x-y|+|x+y[)<+

A: Calculate Fourier transform: Fu,v=∫y=-∞∞∫x=-∞∞fx,ye-2πjux+vydxdy…

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: 5. Find the Fourier transform of f(x) = 5 if lxl<1 and f(x) = 0 otherwise.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The Fourier…

Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: Determine the causal signal x(n) if its z-transform is given by 1+2₂-2 1+z=2

A:

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: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

A: Fourier coefficients represent the amplitude of each harmonically-related sinusoid present in the…

Q: Find the Fourier transform of (x) (13x if|x] 1

A:

Q: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

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

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Q: Find the Laplace transform of e-4t.

A: We can find the Laplace transform of given function.

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

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Q: [a² - x², Find the Fourier transform of f(x)= • 0, and hence 1C. |x| > a evaluate (Sin sint-t cost…

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Q: Find the inverse transform of L-1[ if L-1[f(s)] = F(t) s 2 3/2 4t3/2 4t/2 dt1/2 O O O

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Q: x(t) A -1 -A

A:

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

A:

Q: Find the Z-transform of: 1. (n + 1)²

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the Fourier-sine transform of ƒ(x) = |x − 3| − |x − 2| + 1. -

A: We will first compute the complete Fourier transform of f(x) then using Euler's formula and…

Q: Find the Fourier Transform of f(x) = {1- x - n<x<0 0 <x<n %3D

A: Given the function, f(x)=0           if, -π≤x≤01-x     if,      0&lt;x≤π We have to find the Fourier…

Q: Find Z-transform of k24

A:

Q: 27. Explain why this function does or does not have a Fourier transform. If it does, compute its…

A: The given function: f(x)=0,             |x|&gt;1excosx,   |x|&lt;1 This function have a Fourier…

Q: If X(z) is the z-transform of the signal x(n), then what is the z- ?transform of the signal x(-n) x…

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Q: Can you provide 2 Examples of Finding Laplace Transform containing t and exponential using the…

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Q: Find the finite Fourier Cosine Transform of f (x), where 0<x <"/3 when f(x) = (x – n when T/3<x<n°

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Q: 2) Solve the difference equation using z-transform yk+2 - 3 yk+1 + 2 yk = 0, with yo = 0, y, = 1.…

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: Find the Fourier Transform of - n<x< 0 0 <x < n f(x) = %3D 1- x

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

A: We have to find the Fourier Transform of…