Chapter 5.1, Problem 53E

To determine

The match of each answersgiven below with its corresponding question where $P\left(t\right)$ is the amount in gramsof a certain radioactive material present after $t$ years.

Answers:

$a$. Solve $P\left(t\right)=.5P\left(0\right)$ for $t$.

$b$. Solve $P\left(t\right)=.5$ for $t$.

$c$. $P\left(.5\right)$

$d$. $P\text{'}\left(.5\right)$

$e$. $P\left(0\right)$

$f$. Solve $P\text{'}\left(t\right)=-.5$ for $t$.

$g$. $y\text{'}=ky$

$h$. $P_0{e}^{kt},k<0$