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

Q: Find the finite cosine transform of 1 – where 0<x< T.

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Q: Q2. Find the Fourier transform of the function S2x e- 0<x <1 otherwise f(x) = %3D

A: The given problem is to find the Fourier transform of given function, we have to use Fourier…

Q: (11) The Fourier cosine transform of the function f(x) e; x>0, is

A:

Q: 4 Find the Fourier Transform of f(x) where S(x) =e*

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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 &gt; 00otherwise

Q: Find the third-order Fourier approximation of f (x) = x, 0 ≤ x ≤ 2π.

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

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Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

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Q: Find the Fourier coefficients of the periodic function f(x)=x-2x², (-<x<n); f(x+2) = f(x)

A: We have to solve by Fourier series.

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

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Q: 7. Obtain the Fourier sine transform of the following functions: sin wx (c) x² +1' w > 0

A: The given problem is to find the Fourier sine transform of the given function, we have a general…

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

A: We have to solve given problem:

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

A:

Q: Find the Z transform of [cos (ax), x20 f(x)=: 0, x<0

A: Given, fx=cosax,x≥00,x&lt;0 As we know that, Ze-ax=1+e-aτ+e-2τz-2+...=11-e-aτz-1=zz-e-aτ

Q: Use differentiation in time domain to solve the the Laplace transform: y"-y'-6y=0; y(0)=6, y'(0)=13

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Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

A:

Q: Find the Fourier sine and cosine transform of f (x), if х, 0 2

A: Fourier Cosine transform and Fourier sine transform

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: 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: 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: - Find the Fourier approximation of the specified order of the function on the interval [0, 2r].…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

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

A:

Q: Give the Fourier transform of the function f. f(x) ha x € [0,₁] {* otherwise. =

A: Above question is solved.

Q: determine the inverse Laplace transform of F.

A:

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: of the function. 4. Find the Fourier transform of of 1/(1+t²).

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Q: 2)Find the fourier transform for the function 0 <t < 2 1 f (t) = {0 %3D otherwise

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

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Q: 1) Find the Fourier Sine transform of the function f(x) = re %3D

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Q: (b) Find the Fourier-sine transform (assume k ≥0) for 1 f(x) = x + x³

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Q: Find the Fourier transform of x(t) shown below using differentiation property * x(t) -1 2)

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Q: The non-periodic function f(x) is defined by f(x) = e-l=l. Obtain the Fourier transform of f(x).

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Q: Q2:Find the inverse Laplace transform of e-2s F (s) s2 – 2s – 3 - -

A: We have to find the inverse Laplace transform of given function.

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

A:

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: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

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Q: 4- Find the Fourier sine and cosine transform of: e-x 0 <x < a F(t) = otherwise

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Q: x2, Ixl a

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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: 1.) Give the Fourier transform of the function f. Sx ha x = [0, 1] f(x) = 0 otherwise.

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Q: x(t) A -1 -A

A:

Q: Suppose the function f: R → R has Fourier transform f(p) = 1 1+ 4π²p² бетра i. What is the Fourier…

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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: 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 the given function: = f*,* (2х — 3, 0 3/2 f(x) :

A: We have to solve given problem:

Q: Solve the Laplace Transform 8. f(x) = (2/x)(cos1/2x)

A: note : We will consider the given function as : f(x) = (2/x) cos(0.5x)   Now we have to find the…

Q: Find the Laplace transform of f(x)=x

A: This question is related to Laplace transform.

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

A: