WeBWorK : mathprep : Section09SettingUpFunctionsTest : v9

Problem 1.

(1 point)

If $P=3l+2w+6d$ , what is the coefficient of $l$ ?

Problem 2.

(1 point)

A cylindrical water tank drains through a hole in its bottom. The water level $y$ in the tank after $t$ seconds is $y = (\sqrt{y_0} - \alpha \sqrt{2g}t)^2$ , where $y_0$ is the initial water-level, $\alpha$ a measure of the size of the hole, and $g$ the acceleration due to gravity. Which of the following is true?

A. $y$ is the name of a function, $t$ and $\alpha$ represent variables, and $y_0$ and $g$ are constants.
B. $y$ is the name of a function, $\alpha$ represents a variable, and $t$ , $y_0$ and $g$ are constants.
C. $y$ , $t$ and $y_0$ represent variables, and $\alpha$ and $g$ are constants.
D. $y$ and $t$ represent variables and $y_0$ , $\alpha$ and $g$ are constants.
E. $y$ , $t$ and $\alpha$ represent variables, and $y_0$ and $g$ are constants.

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Problem 3.

(1 point)

If $s = 3p - 2q$ and ${p\over q} = 6$ , write $s$ in terms of $q$ .
$s(q) =$

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Problem 4.

(1 point)

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

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Problem 5.

(1 point)

If $f = \sin(2\pi\theta + {\pi\over2})$ , what is the coefficient of $\theta$ ?

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Problem 6.

(1 point)

If $P=3l+2w+6d$ , what is the coefficient of $w$ ?

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

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Problem 8.

(1 point)

Find a formula for $P(w)$ if $P = 2 l + 2 w$ and $l w = 16$ .
$P(w) =$

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Problem 9.

(1 point)

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

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Problem 10.

(1 point)

Two functions differ by a constant multiple, $g(x) = k f(x)$ . Which of the following is true?

A. $f$ and $g$ are constants, $x$ is a variable, and $k$ is a constant.
B. $g$ and $k$ are names of functions, $x$ is a variable and $f$ is a constant.
C. $f$ and $g$ are names of functions, $x$ is a variable, and $k$ is a constant.
D. $f$ , $g$ , and $k$ are all constants and $x$ is a variable.
E. $f$ , $g$ , and $x$ are all variables and $k$ 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.