Test Section09SettingUpFunctionsTest

An interval on the $y$ axis is specified by $c \le y \le d$. Which of the following is true?

If $P=P_0 e^{kt}$, what is the coefficient of $t$?

Express the volume, $V$, of a cube as a function of the area, $A$, of its base.
$V(A) =$

If $A=\pi r^2$ and $r = 3t^2$, write a formula for $A$ as a function of $t$.
$A(t) =$

If $r = \sqrt{x^2 + y^2}$, $x = t$ and $y = \sin(t)$, write a formula for $r(t)$.
$r(t) =$

Write a formula for the function $V(r)$ if $V={1\over3}\pi r^2h$ and ${r\over6}={h\over10}$.
$V(r) =$

If $B(t) = P_0(1 + {r\over12})^{12t}$, what is the coefficient of $t$?

If $s = {1\over2}gt^2 + vt + h$, what is the coefficient of $t^2$?

The function giving the amount of medicine remaining in the bloodstream $t$ hours after it has been administered is $M(t) = M_0 e^{-8.3t/h}$, where $h$ is the medicine's half-life and $M_0$ is the initial dose. Which of the following is true?

The height $s$ of an object under the effect of gravity, $g$, is given at time $t$ by $s = {1\over2}gt^2 + v_0 t + s_0$. Which of the following is true?