Problem 2. Obtain the Fourier series for the function defined by: [0, when -2 < x < -1 f(x) = 5, when -1 < x < 1 0, when when 1

Q: EX: - Derermine expoentail fourier series of X(t)=exp(2t) for -1<t<1 and has period of 2

A: Find the attachment for the solution.

Q: 23// Expand f (x) = –x – n , -n<x< 0 in a half range sine series and Find its Fourier series

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Q: Example 6. Find the Fourier series for the function f (x) = 1, -1, if -n < x <- if - <*< if < x < T…

A: The following is the given function:   fx=-1,if -π≤x≤-π20,if -π2&lt;x≤π21,if     π2&lt;x≤π It is…

Q: A periodic function is defined in one period as |-sin(폭),-2sx<-1; f(x)={ 1 [x+1, -18x50.

A: In this question, we draw the function in a given domain and find the Fourier series of the…

Q: 4. Show that the Fourier series for the periodic function of period 2 defined by -{₁ f(0) = is given…

A: Given: fθ=0,when -π&lt;θ&lt;0sinθ,when 0&lt;θ&lt;π We have to show that the Fourier series of the…

Q: 7.29. (a) Expand f(x) = cos z, 0 << r, in a Fourier sine series.

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Q: Find the Fourier series representation of the periodic function below if c = -6 and d = 26. Then,…

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Q: f(x) = cosh(x); -T <x< T etch the function. Determine whether it is even or odd. Expand it in an…

A: Expand the given function in an appropriate Fourier series.

Q: Q1: Graph each of the following functions and find their corresponding Fourier series using…

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Q: \(d\) is a metric on \(X\). Show that \(\rho : X^2 \to [0,\infty)\) defined by \[ \rho(x,y) =…

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Q: Q.1/Find the fourier series for the following function: St-n ,0<t<n ,T<t< 2n f(t) %3D

A: The Fourier series of given function is given as follows

Q: Determine the Fourier series defined by 1−x, -J<x<0 f(x) = = ₁ + x₂ 0<x< π 1 which is periodic of…

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Q: Find the Fourier series representation of the periodic function below if c = 9.62 and d = 0.46.…

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Q: : Obtain the Fourier series for the function: (4x+1 if – n <x< 0, f (x) = |1–5x if 0<x<r.

A: We will find out the required value.

Q: Q4) A. Find the Fourier series of the periodic function -K when -n < x < 0} K when f(x) = *, and…

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Q: Q6. Find the Fourier series of the periodic function f(x) = {-²₁1 0<x<T -π < x < 0

A: We have to find the Fourier series of the periodic function

Q: { Expand the function f(x) = = if 0<x<3 6-x, if 3 < x < 6 x, in a half-range (a) sine series; and…

A: Given that  fx=xif 0&lt;x&lt;36-xif 3≤x&lt;6   (a)  The half range Fourier Sine series of f(x) is…

Q: 5) S(x)=sin(7x) 0<x<l Ans. cos(27 x) + cos(4 x) +.. (3)(5)

A: Solution

Q: f(x) = sin (2x)| -T≤x≤0 0<x<*

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Q: 3. Calculate the Fourier series up to and including the third harmonic in'terms of the secondary…

A: Given: To calculate the Fourier series up to and including the third harmonic in terms of secondary…

Q: 3. Given the following function. 1, -1<x< 0 1 f(x) = x = 0 on [-1,1] 2 х, 0 <x <1 (i) Determine the…

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Q: Q 3: Show that the Fourier series for the periodic function of period 2n defined by O when - I < e <…

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Q: Q3// Expand f(x) : = -x - Tt , - n< x< 0 in a half range sine series and Find its Fourier series

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Q: Problem 3. Let f(x) = 3 – x be defined on [0, 1]. Sketch 3 periods of its odd and even periodic…

A: A function g(x) is odd if g(-x)=-g(x), and is even if g(-x)=g(x). The Fourier series of of odd…