Find the Maclaurin series of Σ n=0 Τ sin(t) t6 - dt.

Q: 1. Find the Fourier series of the function: f(x) = |x| in the period of -n<x<

A: Fourier series formulae: f(x)=a02+∑n=1∞ancos(nx)+bnsin(nx)a0=1π∫-ππf(x)dxan=1π∫-ππf(x)…

Q: The Fourier coefficient a, in the Fourier cosine series of f(x)=2x, 0<x<2 is O a. Ob. 8 ((-1)" – 1)-…

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Q: Find f x² sin(x²) dx using the Maclaurin Series.

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Q: Find a Fourier series to represent x - x² from x = − to π and show that π² 1 1 1 12 1² + 2² 3² 1 4²…

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Q: f(x) = n² – x² 0<xくT

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Q: ах +c _if -L<x<L b

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Q: -π<t< f(t) = 4 <t< 2 2 <t<π 2 V

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