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