-x-1; when -x

Q: For x² +nr+1, n = N (the set of natural numbers), 2sin(x²-1)-sin 2(x²-1), sin(x²-1)+sin 2(x²-1)" the…

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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: Find the coefficient b, of the Fourier series representation of the function with period T= 1/50…

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Q: -5<x<0 0≤* <1, then 1≤z<5 0, If f is the Fourier series of g(x)=9x, (11, f(x) =+ Σ[0) 0 (™™ +) +…

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Q: Q2. Find the Fourier series for the function f(x) = |x-x² for −1 < x < x<π]

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Q: Manuben

A: The objective of this question is to find the Fourier Series coefficients, ao, an, and bn, for the…

Q: (b) Consider the function f defined by f(x) = +x, if-*< x < 0, if 0<x<T. R-X. and f(x+2nx) = f(x).…

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Q: What is the value of a0 in Fourier series of a|, where F(x + 2n) = F(x) cos( )+ sin( x)

A: a0=12π∫-ππxdx=22π∫0πxdx=1πx220π=1ππ22=π2

Q: Calculate the Fourier series for the function f(r) = 6(r –- 1) – 6(r+ 1) when -2 <aS2 and is…

A: The function is odd so there will be no constant and cosine terms.  The Fourier series will be:

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: f(x) equals      {0, -5 <x<0}                         {3, 0<x<5}   Write the fourier series…

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Q: Calculate the first few terms of the Fourier series of ao = a1 = Enter simplified expressions for…

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Q: Find odd and even function (half range) Fourier series of function below 0 <x<1 1< x < 2 f(x) = {…

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Q: Find the Fourier series of the function if -4 <x< 0 f(x) S(x + 8) = f(x) %3D if 0 <x< 4

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Q: 0 if -2< x<0 1 if 0 <x<1 8. f(x) = f(x + 4) =f(x) %3D if 1 <x<2

A: Fourier Series with period is given by

Q: Consider the function. f(x) = { -25 x+1, -7 < x < 0 1-x, 0≤x <7' (a) Sketch the graph of f(x) for…

A: Draw the graph:

Q: Prove that f(x)={-3x if -pi<x<0, 3x if 0<x<pi is an even function using fourier series expansion.

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