Give the Fourier Transform for the following functions: (i) 108(t)

Q: Find the Fourier Sine Transform of e-t and hence find the Fourier Cosine Transform of te-t.

A: Fourier sine transform of e-t is ∫0∞e-tsinωtdt. Calculate it:  ∫0∞e-tsinωtdt=∫0∞e-teiωt-e-iωt2idt…

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

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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: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: Find the Laplace transform of this function by expressing it as a combination of the functions you…

A: The Laplace transform of the function is represented as , it is defined as , since the dimension of…

Q: Find the Fourier transform of -at TE|< 1 fCE) = otherwise

A: We have to solve the given problem.

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

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Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: Determine the Laplace Transform of the functions shown and simplify.

A: Our Aim is to determine the Laplace Transform of the functions shown below:-14cosh (16t)+16sinh…

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: Determine the Laplace transform of the function seconds

A: We have to solve given problem:

Q: (1, |t| a

A:

Q: 3ヒ Sinh-

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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 (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: x(t)=sin(t-3T)

A: Z transform

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

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Q: Find the transform, indicating the method used and showing the details u(t-2T) sint

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

A: Above question is solved.

Q: Obtain the inverse laplace transform of the given function.

A:

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

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Q: Find the inverse laplace transform of the function.

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Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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Q: Find the Laplace transform of sinh3 4t

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Q: Find Laplace transform of the function t2 Sint.

A: Find Laplace transform of the function t2 Sint.

Q: 1- -の+9

A: we can use following concepts (1) to (4) , to solve given problem:

Q: Find the cosine transform of a function of x which is unity for 0 <x < a and zero sin ap, for x 2 a.…

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Q: Solve the laplace transform of f(t) = sin (10t). Hint: You may convert the given to whichever form…

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Q: Compute the Fourier transform of the Heaviside function

A:

Q: Determine the transform of the following functions using any methods. t2 sinh 3t

A: Given function is : t2sinh3t

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

A:

Q: Find f(x) if its Sine Transform is Hence find F, ().

A: Given that f(x)=e-axx The fourier sine transform is  Fs=∫0∞f(x)sinsxdx=∫0∞e-axxsinsxdx…

Q: Derive the general formula for the Laplace transform of the following functions:

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Q: Find Fourier cosine transform of: and deduce that - ax -e p²+ b? 1 log P+ /2T cos px dx = 2 p +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: Find the Fourier transform of the function : S (t) = e-x2 %3D

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Q: Find the Fourier Cosine Transform of the function hel 0026.png e2x + be3* f(x)= 2 +be 3.x e6.x if…

A: To find- Find the Fourier Cosine Transform of the function fx = e2x + be3xe6x2 if x &gt; 0 if b =…

Q: x(t) 2 -1 -1 1 -2

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Q: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

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Q: x(t) + 3 -2 2

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Q: Find the Laplace transform of e-2t(sinh(2t))2.

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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: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

A:

Q: Find the Fourier transform of the following function . sin 2at x(t) =

A: Fourier Transform of x(t) is Fx(t)=∫-∞∞x(t)eistdt. Since xt=sin2πtπt, therefore Fourier Transform of…

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: Find the transform of the given functions by use of the table. f(t)= cos 3t-sin 3t

A: Lcos3t-sin3t=Lcos3t-Lsin3tUse Laplace Transform table:          Lcosat=ss2+a2,…

Q: Give the Fourier Transform for the following functions (ii) 10 + 4cos5t

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

Q: Find the Laplace transform of the given function.

A: As per our company guidelines we are supposed to answer 1st question. Kindly repost the other in…