Determine the graph and the Fourier coefficients of the following function: that describe the vibrations of some equipment. f(x) = 0, -nSiS0

Q: f(x)= (ae if x>0 MX ае -Nx +be

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A: The given curve can be approximated to:

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A: This is a problem of Fourier expansion.

Q: Find the Fourier transform of the following signals. 3t a. x₁ (t) = t³e-³tu(t)

A: Given signal is x1(t)=t3e-3tu(t)                  (1) Since we have the formula , Fourier transform…

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Q: By using the Fourier transform, find a solution for the following problem

A: Given: The fourier transform is,  P  ut  t , x  = 4 uxx t , x + t + et  ,   x∈ ℝ , t>0u 0 , x   =…

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Q: :Q4: Use the Fourier Transform properties to find the FT of the following signals (a) x1(t) = x(1 –…

A: Only 1st individual question is to be answered.

Q: f(t) 1

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Q: find the Fourier transform of given signal x(t) = 1/(a²+t²)

A: Concept:

Q: For the data shown, determine the constants and/or coefficients for the discrete Fourier transform.…

A: Step 1 The kth discrete Fourier transform (DFT) coefficient for the set of N x-values corresponding…

Q: Determine The Fourier transform of the following function (2 |t| t/2 f(t) =

A: Fourier transformation of the function f(t): Fourier transformation of the function f(t) is given…

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: Find the Fourier transform of the following signals using sine and cosine integral. x(t) 1 -1 -1 1…

A: Given function from the graph is: fx=x+1 Fourier transform of a function fx is:…

Q: Find the Fourier Transform of the following signals: 1. x(t) = 8(-t) %3D

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Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

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

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Q: Find the Fourier transform of the function f() = H(t- 13)e. -13at OA. e-26 e-13ax 2+10 OB None of…

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Q: -3iw sin 5w 20e F(@) = %3D 3

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Q: e2t+a (2 cos at – 3 cosh 2at) -

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Q: Let f(x) = (x2 + 1), n<x <a be a periodic function, then the Fourier coefficient az = Answer:

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Q: Find the Fourier Transform of the following signal. Remark: The interval exists from -0o to o, the…

A: From the graph it is clear that all the values are positive  and tends to zero as x tending to -…

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: Find the transform of the given function by use of a table. f () = | = cos -4t - sin -4t

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Q: Find the Fourier transform of f (x) defined bv f x) = , a 10, > a and hence evaluate sin pa cos dp…

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Q: Determine the Fourier transform of the following: f(t) = {e/³t; -1<t<1 elsewhere 0,

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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: . Determine the Fourier transform of the following: (t) = {e ¹³6, -1 < t < 1 elsewhere

A: We know formula for Fourier transform of f(t) F(ω)=∫-∞∞f(t).ejωtdt we have…

Q: Find the Inverse Fourier Transform of the following functions: 1 (a) F(a) = 6+5ia-a2

A: To Determine :-  The Inverse Fourier Transform of the function : (a) F α  = 16 + 5iα - α2

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Q: Find ℒ{sin(at)}. For what values of s is this transform defined?

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Q: Find the exponential transform of the function {1, Pi/2<x<pi. and 0, otherwise} and write f(x) as a…

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Q: Find the Fourier Transform of the signal x(t)=e" and sketch the magnitude spectrum

A: See the attachment. Send your feedback please.

Q: x(t) A -1 -A

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

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Q: Find the Fourier transform of the following function: 7 sin(3r – 2) r2 + 25 - 2 exp (4 - 5|r-3|).

A: We are given a function in variable x and we have to find its Fourier transform. For that we will…

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

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

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Q: 2 e?* + be3* f(x)= if x>0 6x

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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 Fourier transform of the following given signal: s1, 0stsa f(t) = 10, t> a

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