use Fourier sine series, consider f (x) = x² on [0, n] to compute 1+1/2² + 1/3² + 1/4²... . and take pi/4 = 1 - 1/3^3 + 1/5^5 ...

Q: Find Fourier sine series of f(x) = 4x on - L≤ x ≤ L

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Q: find the fourier sine series expansion of the fanction : f(x) =x2 +2 ,{  0 <= x  <= 2 }

A: Solution

Q: Q/ Find the Fourier series for the periodic extension of (sin x f(x) = %3D

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Q: Q3/ find the Fourier series for the following function. F (t) = ( 0<t<2 2<t<4

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Q: f(x) = x + 1 0<xくT

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Q: Find the fourier sine series in f(x) = pi/3 if 0<x<pi/3, 0 if pi/3<x<2pi/3, -pi/3 if 2pi/3<x<pi and…

A: To determine the Fourier sine series of the below function. fx=π3      if 0&lt;x&lt;π30         if…

Q: 13. Calculate the Fourier series in the sines of the function f(t)= t³ in the interval [0]

A: Given function is we have to find out fourier sine series for given function.for that we consider…

Q: B/ Find the Fourier series of the function f (X) = x +n within the range -n < x < n

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Q: Find the Fourier sine series for f(x) = on 2)=7 On - -L≤ x ≤L.

A: f(x) = x on –L ≤ x ≤ LFind the Fourier sine series for f(x).

Q: 3. Determine half range Fourier sine series for f(x)=e^x in 0<x<m

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Q: Find the Fourier series of period 2n for the function scos x – sin x, -n<x< 0 lcosx + sin x, f(x) =…

A: Sketch the graph of given function.

Q: Find the Fourier series of the function if -4 < x< 0 X f(x) S(x + 8) = f(x) if 0 <x< 4

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Q: 3. Find the Fourier series for the following function: f (x) = 64x³ for the interval (-n, 1) %3D

A: We need to find the Fourier series expansion of 64x^3.

Q: Compute the complex exponenti al form Fourier series Of the for f(x) =e* on

A: Given function, fx=ex Find the Fourier series of fx in the interval -π,π.

Q: Find the Fourier cosine series

A: Fourier cosine series

Q: find the fourier series for the half-Period sine of the function fx) = sinx inthe period 8. xx Then…

A: Given that, f(x)=sinx in the period 0&lt;x&lt;π. ∫n=1∞1(2n-1)2(2n-1)2. The objective is to evaluate…

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: Find the Fourier series for f(x) = -1 (-n < x < 0) and = 2 (0 <r < T).

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Q: Find the Fourier sine series of the function f(x) = x² cos x on the interval [-L, L].

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Q: find fourier scries on [-T.TT] fcx)=1sinxl

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Q: Find Fourier sine series of f(x) = 3x² on − L ≤x≤L

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Q: Let f(x) = {C. 1 , 0<x< I nSx< 2n Find the Fourier series of f (x) over the interval [0,2n]

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Q: Find the Fourier sine series for the following function defined on [0, L]: f (x) = x^2

A: The given problem is find the Fourier sine series expansion of the given function f(x)=x2 defined on…

Q: Q1/ Expand f(x) = x, 0<x<L, (a) in a cosine series, (b) in a sine series, (c) in a Fourier series. y…

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Q: Determine the Fourier series for the function f (x) = x² in the 0 to 2 t.

A: Use the formula of Fourier series and then find the required coefficients to get exact Fourier…

Q: The Fourier series of a functionf(x) defined on [-x, 1] is given by 1 9 + -cos x + cos 2x + 1 1 -cos…

A: Given Fourier series on [-π,π] is f(x)=9+19cosx+192cos2x+193cos3x+.. We can write the above Fourier…