Chapter 17, Problem 2P

(a)

To determine

Calculate the Fourier transform of $f\left(t\right)$.

(b)

To determine

Find the value of $f\left(t\right)$ at $t=0$.

(c)

To determine

Plot $f\left(t\right)$ for $-150\text{s}\le \text{t}\le \text{150}\text{s}$ when $A=5\pi$ and ${\omega }_0=100\frac{\text{rad}}{\text{s}}$.