WeBWorK : mathprep : Section09SettingUpFunctionsTest : v7

Problem 1.

(1 point)

Write an expression for $v(h)$ if $v = 16 t + 10$ and $h = 8t + 16$ .
$v(h) =$

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Problem 2.

(1 point)

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

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Problem 3.

(1 point)

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

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Problem 4.

(1 point)

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

A. $x$ represents a variable, and $a, b$ are constants.
B. $x$ is the name of a function and $a, b$ represent variables.
C. $a$ and $b$ represent variables, and $x$ is a constant.
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 5.

(1 point)

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

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Problem 6.

(1 point)

If $V={4\over3}\pi r^3$ , what is the coefficient of $r^3$ ?

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Problem 7.

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

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Problem 8.

(1 point)

The $y$ -coordinate of the lower half of a circle is given by $y = y_0 - \sqrt{r^2 - (x - x_0)^2}$ , where the center of the circle is at $(x_0, y_0)$ and its radius is $r$ . Which of the following is true?

A. $x$ , $y$ , and $r$ are variables, and $x_0$ and $y_0$ are constants.
B. $y$ and $r$ are variables, and $x$ , $x_0$ and $y_0$ are constants.
C. $x$ and $y$ are variables, and $r$ , $x_0$ and $y_0$ are constants.
D. $x$ and $y$ are names of functions, $r$ is a constant, and $x_0$ and $y_0$ are variables.
E. $y$ is the name of a function, $x$ and $r$ are variables, and $x_0$ and $y_0$ are constants.

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Problem 9.

(1 point)

If $g(x) = 3\sin(2x)$ and $x = 4\cos(2t)$ , find a formula for the function $g(t)$ .
$g(t) =$

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Problem 10.

(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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Test Section09SettingUpFunctionsTest

Problem 1.

Problem 2.

Problem 3.

Problem 4.

Problem 5.

Problem 6.

Problem 7.

Problem 8.

Problem 9.

Problem 10.