Q2-A) Find Inverse Fourier transform of f(t) +E+ + j10ws(w) 3+jw

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

A: Z transform

Q: Find inverse Fourier transform of F(W) %3D W2-2W+3

A: A complex domain function can be transformed into a real-time function through the inverse Fourier…

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

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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: 2w Inverse fourier transform of is w²+9 Select one:

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Q: Compute the Fourier transform of the following function: f(x, y) = e-()x-y|+|x+y\)&

A: The given function is, fx,y=e-x-y+x+y The two dimensional Fourier transform is defined by,…

Q: Q3/ Find Fourier cosine transform of the function f (x) = 2x ,0 < x < 4

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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: Find Fourier transform for f(t)=t^3-2t

A: Given function f(t)=t3-2t. To find Fourier transform of f(t). By property of Fourier transform,…

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: 2Ct-3) Cos Ct-3)

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Q: { 1,-< |x| < = (0, anywhere else 2. Find the Fourier transform of the function f (x) =

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Q: Q3// Find the Fourier transform of the function t<-a f(t) = - 1 - a <t < a a <t

A: The Fourier transform is an integral representation of a non-periodic function that is analogous to…

Q: . Find Fourier cosine transform of - and deduce that 2. bx e 1 e V2m log р ға cos px dx

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Q: 8. Find the function whose Fourier sine transform is the following function. S[u] - 2 0 x = [1, 2],…

A: Given: Fourier sine transform is given as Su=2x∈1,21x∈(2,3]0otherwise. To find: The function which…

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: Q.3. Find the fourier expansion for the function whose definition 一T х, (x) = 0, くxく- 2 <x< -

A: Given that function we have to find the Fourier series of that function.

Q: (1, |t| a

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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: (b)Use the Laplace Transform operator to solve p2+4P-15 (1) (i) L-1 (P-1)(p2+9). p+5 (ii) L-1…

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Q: Q3: the - Using inverse Convolution Theorom, find Fourier transform of that 6+52w-w²1 given £-'f…

A: Introduction: Like Laplace transformation, convolution theorem is also used Fourier transformation.…

Q: )Find the fourier transform for the function: - 1<t <1 otherwise 1 f(t) = {, | %3D

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Q: :) Find the inverse Fourier transform of F(w) : 3-4iw-w² [Hint: А В + x-b] (х-а)(х-b) х-а

A: solution given below..

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: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: (c) Compute the inverse Fourier transform for the function ={ Is| 4 -s, F(s) 0,

A: The given function is  F(s) =        - s             |s|&lt;= 4         =           0.…

Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: Find the Fourier transform of -et +2 cos(t). (a) -27 8(w+ 1) (b) 2n 8(w + 1) (c) -27 8(w- 1) (d) 2n…

A: To solve this problem we use the following the results and formula:

Q: Q2- Find the Fourier Transform for f (t) =A cos o,t, where o, = 2n fo %3D

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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: 8. Find the 6th order Fourier approximation of the function that is periodic and f(x) = x, -2<x <2

A: Given function is fx=x ,   -2≤x≤2 Compare the interval  -2≤x≤2 with -L≤x≤L, we get L=2…

Q: find 2d Fourier transform of e^(-4pi*(x^2+y^2)) the answer is e^(-pi(x^2+y^2)/2) why?

A: Find the 2d Fourier transform of the given function and the 2D transform of f is defined by the…

Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

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Q: x2, Ixl a

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Q: N (z−2)²

A: Follow the steps.

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: Solve the Laplace transform of e-2t cos/3t – t²e-2t

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

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

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Q: (7) Find the Fourier transform of the following functions: { {: cos x, if 0 1 (ii) f(x) = 0,

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

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Q: 6. у" - у' + 4y %3D 0; у(-2) %3D 1, у'(-2) %3 3

A: We have to solve the given problem by using Laplace transforms.

Q: (b)Use the Laplace Transform operator to solve p2+4P-15 (i) L-1 (P-1)(p²+9), p+5 (ii) L-1…

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Q: Q9. (a) i. Find Fourier transform off (x) = x e¯*,0< x < ∞. ii. Find the inverse Fourier sine…

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