-x-1; when -x

Q: Express f(x) as a Fourier series in the inerval 4 %3D 12 - T<x<T

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Q: 3. (x) =|sin.x| if -p £x£p. Find the Fourier series of f(x) and the result of (2k)-1

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Q: If f(x) = |sinx| in (-1,1) is expressed as Fourier series, then the coefficient of sin5x is 5 ?لكر…

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

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Q: Find the Fourier series for the periodic function given on one period by f(x)= x, 1<x< 1.

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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: Q (4)- Find Fourier series for the function: - 2 <t <0 2 f(t) = (4 for for 0 <t< 2

A: Given that, f(t)=-2-2&lt;t&lt;040&lt;t&lt;2 The aim is to find the fourier series. The formula for…

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

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Q: Q2: Find the Fourier series expansion of the function f(x) = xsinx for < x < 2n.

A: Given fx=xsinx We know fx=a02+∑n=1∞ancosnx+bnsinnx

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: 04-Obtain the Fourier series of the function : f (x) = x,(-II < x < II)

A: Given function:fx=x,-π&lt;x&lt;πwe have fourier series function…

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: 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: Show that n is composite if and only if p(n) <n – Vn.

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Q: use fourier series to solve

A: We can solve this using formula of Fourier series

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

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Q: Determine the Fourier series of the following a. f(t)=t3 (-<t<a), f{t)=f(t+2.7) f(t)%=f(t+2x) а.

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

A: Given: To find the Fourier series of the function  is given as,

Q: 8 0 sin axsin 2 x² bx -dx

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Q: Find the Fourier series to represent f(x) = x/2 (0 < x <2pi.)

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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: Expand f(x) = -X X if -π < x < 0, if 0 < x < π, in a Fourier series.

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Q: Find the coefficient of sin nx in the Fourier series expansion of f (x) = x² (0 <x < 2n)

A: We find the coefficient of sin(nx) in the Fourier series expansion of f(x)=x2(0&lt;x&lt;2π).