Example 8: Find the Fourier transform of the function 1+ for - a

Q: f(x) = 6e-xx-3.5

A:

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 of: (b) - .2

A:

Q: Find the Fourier transform of 4x if 121 <a f(x) - o if 1x129

A: To find the Fourier transform of the function  fx=4x,  if x&lt;a0,    if x&gt;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: 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: Find Fourier transform for the following image 0 1 0 1 0 1 0 1 1

A: The Fourier transform is Fk, l=1N∑i=0N-1  ∑j=0N-1 fi, jeι2πkiN+ljN. Expand the series: Fk, l=13∑i=02…

Q: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: Find the Fourier cosine transform of f(x) = e-2x + 4e-3x

A: Given, f(x) = e-2x + 4e-3x Find Fourier cosine transform

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 discrete time Fourier transform for the given signals. x(n) = 3(2") и(-п) —

A:

Q: If the z-transform of x[n] is X(z), then, the z-transform of 2"x[n] 1S X(z') X(2z)

A: The expression, X(Z) , denotes the Z-transform of a discrete time signal, x(n) . The X(Z) is defined…

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

A:

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: 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: F{6f"(x) – 2f' (x) + 7f(x)} =

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

A:

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

A:

Q: (A) Compute the discrete Fourier transform of f = 2 – 2t on [–1,3) with length 4. F{f} = |

A: (A) Consider the given equation: Length N=4 Time division is 13 Then Then, Now, So,

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

A:

Q: The inverse Z-transform of the function x{z): for (1+2 (2-2)

A: Given, x(z)= 11+z-12-z-1 for ROC 12&lt;z&lt;1 Now,         x(z)= z2z+12z-1 Using partial fraction,…

Q: 8(a) Using Convolution theorem, find the inverse Laplace transform of s2 +aP

A:

Q: 4) Derive an expression for the x(t) and Determine the Fourier transform of the signal x(t) shown in…

A: Given:

Q: Question 1: Find the Fourier transform of f(x) -1 if -1x>0 0 otherwise

A:

Q: Determine the inverse laplace transform of 4s2 - 8s

A:

Q: 0.x 1

A:

Q: Find the Inverse Z-transform for X(z)=(z+1)/((z-1)(z-2)(z-3))

A:

Q: B) \ find inverse z transform by long division X(2) = 1-az-1

A:

Q: a)find fourier transformation f(x)=x in range (0,10L) b) find fourier transformaion Slx) in range_3…

A:

Q: N (z−2)²

A: Follow the steps.

Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

A:

Q: Find the inverse laplace transform of e-2s

A:

Q: a) Find the Fourier Transform of f(x) = = √2πx³ex, 0<x< 6

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

Q: x(t) A -1 -A

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

A:

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

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Q: >= Find Fourier cosine transform of f(x) = 1 -1 0<x< 1/1/0 <x<n

A:

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

A:

Q: (a) Show that the Fourier transform of the function ga(x) := f(ax), where a > 0 is a constant, is…

A: the Fourier transform of f(ax) as a function of the Fourier transform of f(x) is known as change of…

Q: (:-) S 3s – 1 - C/G| H(s) = S s2 + 1 s² + 1

A:

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

A:

Q: O Show that the Fourier transform of | 3 -2<1<2 0 otherwise f() = {0 6 sin 20 is given by F (@) =

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

Q: (:-) + S 3s – 1 - C/G| H(s) = +es S s² + 1 s2 + 1

A:

Q: - Find the Fourier transform of the given function f(x)=x₂²x 0≤x≤ 2

A: