WeBWorK : mathprep : Section09SettingUpFunctionsTest : v13

Problem 1.

(1 point)

If $P = {nRT\over V}$ , what is the coefficient of $R$ ?

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Problem 2.

(1 point)

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

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Problem 3.

(1 point)

If $y = 3x + 5$ and $x = {\pi t^3\over 3}$ , write a formula for $y$ in terms of $t$ .
$y(t) =$

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Problem 4.

(1 point)

The rate at which an ice tray in a freezer cools, $R$ is given as a function of time to be $R(T) = k ( T - T_0 )$ , where $k$ is a constant of proportionality, $T$ is the temperature of the ice tray and $T_0$ the temperature of the freezer. Which of the following is true?

A. $R$ is the name of a function, $T$ and $T_0$ are variables, and $k$ is a constant.
B. $R$ is the name of a function, $T$ is a variable, and $k$ and $T_0$ are constants.
C. $R$ , $T$ , and $T_0$ are variables, and $k$ is a constant.
D. $R$ and $k$ are names of functions, $T$ is a variable and $T_0$ is a constant.
E. $R$ and $k$ are variables, and $T$ and $T_0$ are constants.

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Problem 5.

(1 point)

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

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Problem 6.

(1 point)

Express the area of a circle, $A$ , in terms of its circumference, $C$ .
$A(C) =$

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Problem 7.

(1 point)

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

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

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Problem 8.

(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 $V(r)$ if its height is four times as long as its radius.
$V(r) =$

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Problem 9.

(1 point)

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

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Problem 10.

(1 point)

A function representing voltage fluctuates according to $V(t) = V_0 \cos(120\pi t)$ , where $V_0$ is the initial voltage. Which of the following is true?

A. $V$ , $V_0$ and $t$ are variables and $\pi$ is a constant.
B. $V$ is the name of a function, $V_0$ represents a variable, and $t$ and $\pi$ are constants.
C. $V$ is the name of a function, $V_0$ and $t$ represent variables, and $\pi$ is constant.
D. $V$ is the name of a function, $t$ represents a variable, and $V_0$ and $\pi$ are constants.
E. $V_0$ is the name of a function, $V$ and $t$ are variables, and $\pi$ is a constant.

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Test Section09SettingUpFunctionsTest

Problem 1.

Problem 2.

Problem 3.

Problem 4.

Problem 5.

Problem 6.

Problem 7.

Problem 8.

Problem 9.

Problem 10.