Chapter 9.5, Problem 24P

To determine

(a)

To solve:

The differential equation for the quantity Q, in milligrams, of the drug in the body at time t hours. By assuming initially no drug in the body and to graph Q against t

and to find $Q_{\infty }$, the limiting long-run value of Q.

To determine

(b)

To explain:

The effects while doubling r have on $Q_{\infty }$, and the effects while doubling r have on the time to reach half the limiting value,

To determine

(c)

To explain:

The effects doubling $\alpha$ have on $Q_{\infty }$, on the time to reach $\frac{1}{2}{Q}_{\infty }$.