The number of deaths within a society or...

a) Population

b) Demography

c) Birthrate

d) Fertility

e) Fecundity

f) Mortality

A subset of a set is, roughly, a set inside the set. Precisely, a set A is a subset of set B, denoted A $\subseteq$ B, if and only if every element of A is also an element of B. Consider the set N = {2, 4, 5, 6, 8, 11}.

a. Is {5, 2} a subset of N? Why or why not?

b. Is {4, 6, 8, 10} $\subseteq$ N? Why or why not?

c. Write two other subsets of N.

d. Is {2, 4, 5, 6, 8, 11} a subset of N? Justify your answer by using the definition of a subset.

e. In a search for used Chevrolet trucks on the Internet, think about three possible search sets:

• T = {x | x is a Web page containing the word truck}
• U = {x | x is a Web page containing the phrase "used truck"}
• C = {x | x is a Web page containing the word Chevrolet}

Which of these sets is a subset of one of the other sets? Draw a Venn diagram that shows the relationships among these three sets.

Graph the function

$$f ( x ) = \sqrt { x + 2 } – 4$$

and identify its domain and range.

Write the letter of the word pair that expresses a relationship similar to that expressed by the capitalized pair. MOROSE : PARTY POOPER :: (a) sassy : smart aleck, (b) clumsy : athlete, (c) rich : hero, (d) lazy : student

How could you revise the research question "What is interesting about Cocos Island?" so that it is both focused and likely to yield plenty of information?

A During what years did pirates bury treasure on Cocos Island?

B Why do people search for treasure?

C What have been the results of searches for treasure on Cocos Island?

D What are the directions to Cocos Island?

Use the method of substitution to solve the following system of equation. If a system is dependent, express the solution set in terms of one of the variables. See the earlier examples.

$$\left\{\begin{array}{r}9 x-y=-1 \\ 3 x+2 y=44\end{array}\right.$$

For solutions of $\overrightarrow{\textbf{x}}'=\textbf{A}\overrightarrow{\textbf{x}}$ with A skew-symmetric, the length of vector $\overrightarrow{\textbf{x}}$ is constant. What does this mean in terms of phase-plane trajectories? Use IDE's Matrix Element Input tool, or an open-ended graphic DE solver, to verify this for the following systems, and explain the role of the parameter k. (a)

$$\overrightarrow{\textbf{x}}'=\begin{bmatrix}0&1\\-1&0\end{bmatrix}\overrightarrow{\textbf{x}}$$

(b)

$$\overrightarrow{\textbf{x}}'=\begin{bmatrix}0&k\\-k&0\end{bmatrix}\overrightarrow{\textbf{x}},k>0$$

.

The mythical Round Table of King Arthur. Note that the table indicates where King Arthur sat as well as where 24 knights sat. In how many ways can n people be seated around a similar table if:

a. a head of the table is designated?

b. no head of the table is designated?

How might a realist novel bring about changes in society? Describe the ways by which this might happen.

In the following sentences, eliminate any double negatives by crossing out incorrect words and writing the correct forms above them if necessary.

Example 1. I couldn’t see $\overset{\textit{\color{#c34632}{anyone}}}{\sout{\text{no one}}}$ around to help me.

That store doesn’t accept no employment applications by telephone.

Identify the five-number summary and determine the interquartile range.

$$8,12,32,6,27,19,54$$

Find the domain and range of each of the following functions: $f : x \mapsto \sqrt{x}$

Graph the function. State the domain and range.

$$g(x)=4e^{-3x}+1$$

Graph the function. Compare the graph to the graph of

$$f ( x ) = | x |$$

. Describe the domain and range.

$$q ( x ) = 4 | x |$$