Chapter 16, Problem 15P

a.

To determine

Plot the periodic function for $4t^2$ with half-wave symmetry over the interval $-2<t<2\text{s}$.

b.

To determine

State whether the function is even or odd.

c.

To determine

Check whether the function has a quarter-wave symmetry.

d.

To determine

Derive the Fourier series for $f\left(t\right)$.

e.

To determine

Derive the Fourier series of $f\left(t\right)$ if $f\left(t\right)$ is shifted 2 s to the right.