Test Section09SettingUpFunctionsTest

In the decreasing exponential function $f(x)=a^{-x}$, which of the following is true?

The cost, $C$, of manufacturing $p$ units of item~1 and $q$ units of item~2, costing $k_1$ and $k_2$ dollars per unit, respectively, is $C = k_1 p + k_2 q$. Which of the following is true?

A right circular cone with height $h$ and radius $r$ has volume $V = {1\over 3}\pi r^2 h$. Write a formula for $V(r)$ if its height is four times as long as its radius.
$V(r) =$

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

If $A = \pi r^2$, what is the coefficient of $r^2$?

The general form of a polynomial function is $P(x) = a_n x^n + a_{n-1} x^{n-1} + \cdots + a_1 x + a_0$. Which of the following is true?

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

If $B = 2 p + q$ and $q - 2p = 1$, write a formula for the function $B(p)$.
$B(p) =$

If $g=30\cos({x\over2})$, what is the coefficient of $x$?

A soda can has volume $V = \pi r^2h$. Write a formula for its volume $V(r)$ if the can's height is 5 units longer than its radius.
$V(r) =$