Chapter 16, Problem 14P

a.

To determine

Plot the one full cycle of the periodic function over the interval $-T/4\le t\le 3T/4$.

b.

To determine

Derive the expressions for the Fourier coefficients $a_v,a_k,\text{and}{b}_k$.

c.

To determine

Derive the first three nonzero terms in the Fourier series of $f\left(t\right)$.

d.

To determine

Calculate the value of $f\left(T/8\right)$ using first three nonzero terms in the Fourier series.