Question

Find a Fourier Series expansion for the function f(x)= xcos(3x) on the domain from x = [-pi,pi]

Answer #1

Find the half-range cosine Fourier series expansion of the
function f(x) = x + 3;
0 < x < 1.

Find the Fourier series of the function:
f(x) =
{0, -pi < x < 0
{1, 0 <= x < pi

Find the half range cosine Fourier series expansion of the
function f(x) = x + 3, 0 < x < 1
Need full work shown (formulas/ every step)

Find the real Fourier series of the piece-wise defined
function
f(x) = Pi+x -2<=x<2

fourier expansion, piecewise function.
f(x){ pi , -1<x<0
-pi , 0<x<1

Calculate the Fourier series expansion of the function:
f(x)
=1/2(π-x) , when 0
< x ≤ π and
f(x) = -
1/2(π+x), when -π
≤ x < 0

Find the Taylor series for f(x) centered at
the given value of a. [Assume that f has a power
series expansion. Do not show that
Rn(x) → 0.]
f(x) = xcos(x), a = pi

a. Let f be an odd function. Find the Fourier series of f on
[-1, 1]
b. Let f be an even function. Find the Fourier series of f on
[-1, 1].
c. At what condition for f would make the series converge to f
at x=0 and x=1?

Find the Fourier series of the function f on the given
interval.
f(x) =
0,
−π < x < 0
1,
0 ≤ x < π

Q1. Find the an
in the Fourier series expansion of the
function
?(?) = 9x2 + 7 sin(M?) defined over
the interval (−?, ?).

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