A periodic function f(t) of period T=2π is defined as f(t)=2t ^2
over the period -π<t<π
i) Sketch the function over the interval -3π<t<3π
ii) Find the circular frequency w(omega) and the symmetry of the
function (odd, even or neither).
iii) Determine the trigonometric Fourier coefficients for the
function f(t)
iv) Write down its Fourier series for n=0, 1, 2, 3 where n is
the harmonic number.
v) Determine the Fourier series for the function g(t)=2t^ 2 -1
over the...