Find the Fourier transform to the function given below: for t<0 for t = 0 -1

Q: f(x)= (ae if x>0 MX ае -Nx +be

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

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: 40. Find the inverse Fourier transform off (p) = e¯ ™ Y.

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Q: Find the Fourier Sine Transform of the function f(x) = ae^(-bx) if x > 0 if a = 14.5 and b = 11.…

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Q: Find the Fourier Cosine Transform of the function 0026.png 2 e2.x + be3* f(x)= if x>0 ,6x fb = 10 .…

A: Given function is f(x)=e2x+be3xe6x2 if x&gt;0we have to find the fourier cosin trasformation of this…

Q: 2 sin 3at where a is any positive constant and s > a.

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Q: (b) Find the Fourier transform of the function given below 1– x? if |x|1 and hence find the value of…

A: Calculate Fourier transform: Fω=∫-∞∞fxe-iωxdx         =∫-111-x2cosωx-isinωxdx…

Q: a. Find the Fourier transform of the given function. 2A f(t) == t + A, 75150 2A f(t) = osts/ f(t) =…

A: This is a problem of Fourier expansion.

Q: 3) Find the Fourier transform of the following signals L. x(t) x(t) + 3 + 2 -2 2 -1 -1 1 -2 using…

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Q: H.W: Find Laplace Transform for following functions: a) f(t) = e-3t sin² (t) b) f(t) e2t e-6t _ e¬4t…

A: Note: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question…

Q: : Find Laplace Transform for following functions: a) f(t) = e-3t sin² (t) b) f(t) = e-6t - e-4t c)-…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: f(x) = e2* if x> 0 Q5. The Fourier transform of the function: 0 if x<0]

A: We have given a function ,  fx = e-2x , x &gt; 00        ,x &lt; 0 We need to find Fourier transform…

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: Q2: Find Fourier Transform (FT) of the function f(t) = e-bltl and plot this function in time and…

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Q: Find the Laplace transform of the periodic function f(t) whose graph is given below. (Click on graph…

A: The equation of the line passes through (0, 0) to (2, 4) is  f(t)-0=2(t-0) f(t)= 2t  The equation of…

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the |…

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Q: Consider f(x) = xe The Fourier Sine transform of f(x) F,f(2) = The Fourier Cosine transform of f(x)…

A: Solution

Q: Find Fourier transform for the following functions:x(t)=3+(sin2wt)2

A: Given function is, xt=3+sin2wt2.      ........1 Fourier transformation: Fourier transformation of…

Q: eat (A cos t + B sin t) + t²

A: Given function is eαtAcost+Bsint+t2find the laplace transform

Q: Suppose the function f: R→ R has Fourier transform 1 f(p) = e-p². 1+ 4π²p² i. What is the Fourier…

A: As per the question we are given the Fourier transform of a function f(x) as f̂(p) From that we have…

Q: Q4 Find the Fourier transform of the following signal x(t) defined by

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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: 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: Using the Fourier Transform table, find the Fourier transform of this signal: (d) x(t) = = 1 if 1 ≤…

A: Given function is Since we know X(ω)=∫-∞∞x(t)e-jωtdt

Q: Find the Fourier Sine Transform of the function 0026.png ,2.x 2 S(x)=| + be3x if x>0 6.x e if b = 5.…

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

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Q: Use the definition of Fourier Transform, i.e. the equation f(t) = LF(@) elatdw to find the Fourier…

A: Using the given definition f(t) =12π∫-∞∞F(ω) e j ω tdω we have , F(ω) =12π∫-∞∞ f(t) e -j ω tdt…

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

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Q: f) = (ae aet t<0 3) Find Fourier Transform for the following function as in figure:

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Q: By using the Fourier transform table, find the Fourier transform for the function 7(t)cos(3t) OA.…

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Q: Sketch the given function, which is assumed to be zero outside the given interval. Find its Laplace…

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Q: Find the Laplace transform of the function( show all steps of your answer): f (t) = t®e2t – 8…

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Q: (1, x| a Find the Fourier transform of f (x) defined by f (x) = and hence evaluate

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Q: By using the Fourier transform table, find the Fourier transform for the follwoing function…

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Q: Find the Laplace transform of the given function: a and ò are real constants. f(t) = et sinh(bt)…

A: The solution is given as

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

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Q: Obtain the Fourier transform of the double pulse defined by f(t) ={ 1 ,1< or equal to x < or equal…

A: Fourier transform: The Fourier transform of function f is given by, F(ω) = ∫-∞∞f(t) e-ωjtdt. Given:…

Q: Find the Fourier Transform F(w) = {e-at t≥0 t≤0

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Q: ind Laplace Transform of the expression. f(t) = e-5 H (t-2)

A: Sol Le-tHt-2 Apply transform rule:  if Lft=Fs then  Leatft=Fs-a

Q: Find the Fourier Sine Transform of the function 0026.png S(x)=| e2.x +be3x* if x>0 if b= 13. Then,…

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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 fourier transform of f(t) = e-2(t+4)ʻ sin (nt).

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Q: e2t+a (2 cos at – 3 cosh 2at) -

A: We have to find Laplace transformation.

Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

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Q: Q3// Find the Fourier transform of the function t< -a f(t) = 1 – a<t < a 0. a<t

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Q: 5(a) Find the Fourier transform for the following function: f(t) = {e-31 0 . t> 0 ,elsewhere

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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,…