WeBWorK : mathprep : Section09SettingUpFunctionsTest : v7

Problem 1.

(1 point)

In the height function $H(t) = AB^t$ , which of the following is true?

A. $B$ and $t$ represent variables, and $H, A$ are constants.
B. $H$ is the name of a function, $t$ represents a variable, and $A, B$ are constants.
C. $H$ is the name of a function, $A,B$ represent variables, and $t$ is a constant.
D. $H$ , $A$ and $t$ represent variables, and $B$ is a constant.
E. All of $A$ , $B$ , $H$ and $t$ are variables.

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Problem 2.

(1 point)

If $g(\varphi) = 3\cos(\pi(\varphi - {1\over3}))$ , what is the coefficient of $\varphi$ ?

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Problem 3.

(1 point)

An interval is specified by $a < x < b$ . Which of the following is true?

A. $a$ and $b$ represent variables, and $x$ is a constant.
B. $x$ represents a variable, and $a, b$ are constants.
C. $x$ is the name of a function and $a, b$ represent variables.
D. $x$ is the name of a function and $a, b$ represent constants.
E. All of $a$ , $b$ and $x$ represent variables.

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Problem 4.

(1 point)

The bank balance resulting from an initial deposit of $P_0$ dollars is given as a function of time $t$ (in years) by $B(t) = P_0(1 + {r\over12})^{12 t}$ , where $r$ is a fixed annual interest rate compounded monthly. Which of the following is true?

A. $B$ and $P_0$ are names of functions, $t$ represents a variable, and $r$ is constant.
B. $B$ , $t$ and $r$ represent variables, and $P_0$ is constant.
C. $B$ is the name of a function, $t$ represents a variable, and $P_0, r$ are constants.
D. $B$ is the name of a function, $r$ and $t$ represent variables, and $P_0$ is constant.
E. All of $B$ , $t$ and $P_0$ are variables, and $r$ is constant.

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Problem 5.

(1 point)

Write a formula for $x$ as a function of $y$ if $y = {6\over 1+x}$ .
$x(y) =$

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Problem 6.

(1 point)

If $y = -\sqrt{r^2 - x^2}$ , what is the coefficient of $x^2$ ?

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Problem 7.

(1 point)

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

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