WeBWorK : mathprep : Section09SettingUpFunctionsTest : v5

Problem 1.

(1 point)

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

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Problem 2.

(1 point)

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

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Problem 3.

(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. $s$ is the name of a function, $t$ and $v_0$ represent 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. $s, t$ , and $v_0$ are 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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Problem 4.

(1 point)

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

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Problem 5.

(1 point)

You are told that the difference between two functions is constant, $f(x) - g(x) = C$ . Which of the following is true?

A. $f$ and $g$ are names of functions, and $x$ and $C$ both represent variables.
B. $f$ and $g$ are names of functions, $x$ represents a variable, and $C$ is a constant.
C. All of $f, g, x$ are names of functions and $C$ is a constant.
D. All of $f, g, x$ are names of functions and $C$ is a variable.
E. $x$ is the name of a function, $f, g$ are variables, and $C$ is a constant.

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Problem 6.

(1 point)

The function giving the amount of medicine remaining in the bloodstream $t$ hours after it has been administered is $M(t) = M_0 e^{-8.3t/h}$ , where $h$ is the medicine's half-life and $M_0$ is the initial dose. Which of the following is true?

A. $M$ is the name of a function, $h$ represents a variable, and $M_0$ and $t$ are constants.
B. $M$ is the name of a function, $t$ represents a variable, and $M_0$ and $h$ are constants.
C. $M$ and $M_0$ are names of functions, $t$ represents a variable, and $h$ is constant.
D. $M$ , $t$ and $h$ represent variables, and $M_0$ is a constant.
E. All of $M$ , $M_0$ , $t$ and $h$ represent variables.

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