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  3. a periodic function f(t) of period t=2? is defined

A periodic function f(t) of period T=2? is defined as f(t)=2t ^2 over the period -?<t<? i)...

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Advance Math

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 -?

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