WeBWorK : mathprep : Section09SettingUpFunctionsTest : v8

Problem 1.

(1 point)

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

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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)

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

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Problem 4.

(1 point)

Write a formula for $z(t)$ if $z = {1 + x^2\over 3xy}$ and $x = t$ and $y = t^2$ .
$z(t) =$

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Problem 5.

(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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Problem 6.

(1 point)

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

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Problem 7.

(1 point)

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?

A. $P$ is the name of a function, $x$ represents a variable, and $n, a_0,\dots,\ a_n$ are constants.
B. $P$ is the name of a function, $x$ and $n$ represent variables, and $a_0,\dots,\ a_n$ are constants.
C. $P$ and $x$ are variables, and $n$ and the $a_0,\dots,\ a_n$ represent constants.
D. $P$ and $x$ are names of functions, the $a_0,\dots,\ a_n$ represent variables, and $n$ is a constant.
E. All of $P$ , $x$ , $n$ , and the $a_0,\dots,\ a_n$ are variables.

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Problem 8.

(1 point)

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.
$V(r) =$

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Problem 9.

(1 point)

If $y = \ln({x+4\over 5})$ , what is the coefficient of $x$ ?

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Problem 10.

(1 point)

The height $s$ of an object under the effect of gravity, $g$ , is given at time $t$ by $s = {1\over2}gt^2 + v_0 t + s_0$ . Which of the following is true?

A. $s, t$ , and $v_0$ are variables, and $g$ and $s_0$ are constants
B. $s$ and $t$ represent variables, and $g, v_0$ , and $s_0$ are constants.
C. $s$ is the name of a function, $t$ and $s_0$ represent variables, and $g$ and $v_0$ are constants.
D. $s$ is the name of a function, $t$ and $v_0$ represent variables, and $g$ and $s_0$ are constants
E. All of $s, t, v_0$ , and $s_0$ are variables, and $g$ is 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.