Find, copy, or describe an advertisement for an item that reflects Americans' attitudes toward postponed or immediate gratification values.

What is this person likely to do this weekend, given the circumstances? Use the futur prouche (immediate future) : "aller+infinitif" in your answers.

Ma m$\`e$re et moi, nous avons deux places pour aller voir un ballet.

Solve the inequality. Graph the solution set on a number line.

$$5 y \leq-30$$

In each of the following sentences, underline the subject once and the verb twice. Above the verb, write C for correct if the subject and verb agree. If they do not agree, write the correct form of the verb.

There's several locations in immediate need of your help.

A round body of mass $M$, radius $R$, and moment of inertia $I$ about its center of mass is struck a sharp horizon- $\uparrow$ tal blow along a line at height $h$ above its center (with $0 \leq h \leq R$, of course). The body rolls away without slipping immediately after being struck. Calculate the ratio $I /\left(M R^2\right)$ for this body.

For the following sentence, underline the simple subject once and the verb twice. Before the numeral, write (you) if the subject is understood. Be sure to include all parts of any verb phrases and all parts of compound subjects or verbs.

My cousin, a nurse at a state hospital, had invited me down for the weekend.

Solve the inequality. Graph the solution set on a number line. -3m + 5 > 17

Could the table give points on the graph of a function $y=a b^x$, for constants $a$ and $b$? If so, find the function.

$$\begin{array}{l|l|l|l|l} \hline x & 0 & 2 & 4 & 6 \\ \hline y & 0 & 1 & 2 & 4 \\ \hline \end{array}$$

Find the following sum: $\sum\limits_{i=1}^{8}2\cdot3^{i}$.

Choose the functions that are in the given family, assuming $a$, $b$, and $c$ are constants.

$f(x) = \sqrt{x^4+16}$

$$g(x) = ax^{23}$$

$$h(x) =\frac{−1} {5x−2}$$

$$p(x) = \frac{a^3b^x} {c}$$

$q(x) = \frac{ab^2}{c}$

$$r(x) = −x+b−\sqrt{cx^4}$$

Exponential

In his Liber abaci (Book of Calculation) published in 1202, Leonardo Fibonacci asked the following question: How many pairs of rabbits are produced from a single original pair in one year, if every month each pair begets a new pair, which is similarly productive beginning in the second succeeding month? The answer is provided by the Fibonacci sequence $1,1,2,3 ,5 ,8 ,13,21,34,55, \ldots$ in which each term is the sum of its two immediate predecessors. That is, the sequence is defined recursively as follows:

$$s_{0}=1=s_{1} . \quad s_{n+1}=s_{n}+s_{n-1} \quad \text { for } n \geq 1$$

Then $s_{n}$ is the number of rabbit pairs present after $n$ months. Note that if

$$\mathbf{x}_{n}=\left[ \begin{array}{c}{s_{n+1}} \\ {s_{n}}\end{array}\right] \quad$$

and

$$\quad \mathbf{A}=\left[ \begin{array}{ll}{1} & {1} \\ {1} & {0}\end{array}\right]$$

, then $\mathbf{x}_{n}=\mathbf{A} \mathbf{x}_{n-1} \quad \text { and so } \quad \mathbf{x}_{n}=\mathbf{A}^{n} \mathbf{x}_{0}$ where $\mathbf{x}_{0}=(1,1)$. Show that $A$ has eigenvalues $\lambda_{1}=\frac{1}{2}(1+\sqrt{5})$ and $\lambda_{2}=\frac{1}{2}(1-\sqrt{5})$ with associated eigenvectors $\mathbf{v}_{1}=(1+\sqrt{5} .2)$ and $\mathbf{v}_{2}=(1-\sqrt{5} .2),$ respectively.

A body of mass 2.00 kg is pushed straight upward by a 25.0 N vertical force. What is its acceleration?

Evaluate the sums.

$$a.\sum _ { k = 1 } ^ { 7 } 3\quad b. \sum _ { k = 1 } ^ { 500 } 7\quad c. \sum _ { k = 3 } ^ { 264 } 10$$

Does $\displaystyle\sum\limits_{n=1}^{\infty}\left(\frac{1}{n}+\frac{1}{n}\right)$ converge or diverge? Does $\displaystyle\sum\limits_{n=1}^{\infty}\left(\frac{1}{n}-\frac{1}{n}\right)$ converge or diverge? Is the statement "If $\sum a_{n}$ and $\sum b_{n}$ diverge, then $\sum(a_{n}+b_{n})$ may or may not diverge" true?