Section 5.2.1: 1, 3

Section 5.2.2: 1

Also:

Let $A$ be the amplitude of the particular solution of $m\frac{d^2y}{dt^2} + \gamma\frac{dy}{dt} + ky = f_0\cos(\omega t)$ as found in class. Show that $A$ has a maximum value when $\omega^2 = \omega_0^2 - \frac{1}{2}\left(\frac{\gamma}{m}\right)^2$.