What is globalization, and what are some of its important aspects in the twenty-first century?

Graph the family of polynomials in the same viewing rectangle, using the given values of $c$. Explain how changing the value of $c$ affects the graph.

$P(x)=c x^3 ; \quad c=1,2,5, \frac{1}{2}$.

Write the first five terms of each sequence. $a _ { n } = \frac { n } { 2 n + 1 }$

a ferris wheel with radius 14.0 m rotates so that its angular position for a given point $P$ within the wheel, with respect to a horizontal axis which crosses the center of the wheel, is given by:

$$\begin{align*} \theta_P(t)&=5\pi\,\dfrac{\text{rad}}{\text{s}^2}t^2-3\pi\,\dfrac{\text{rad}}{\text{s}}t+\theta_{P_0} \end{align*}$$

Where $\theta_{P_0}$ is the initial angular position of point $P$. Explain how does this equation apply to every point of the wheel, find $\theta_P(t)$ for a point $P$ which is initially vertically aligned with the center of the wheel. Determine the angular velocity of the wheel as a function of time as well the linear speed of the points on its periphery.

(a) Draw graphs of the following family of parabolas for $k=\frac{1}{2}, 1,2$, and 4 .

$$y=k x^2$$

(b) Find the foci of the parabolas in part (a).

(c) How does the location of the focus change as $k$ increases?

What is globalization?

In what ways are LEDs and diode lasers similar, and in what ways are they different?

La familia de Mario es muy atlética. Completa su descripción con formas de jugar y luego contesta la pregunta. (Complete Mario’s description of his family with forms of jugar. Then answer his question.)

Expansión:

List your family members and tell what sports they play or like to watch.

Mis padres _____ mucho al tenis

A watermelon seed has the following coordinates: $x=-5.0 \mathrm{~m}$, $y=8.0 \mathrm{~m}$, and $z=0 \mathrm{~m}$. Find its position vector as a magnitude and (c) an angle relative to the positive direction of the $x$ axis. (d) Sketch the vector on a right-handed coordinate system. If the seed is moved to the $x y z$ coordinates $(3.00 \mathrm{~m}$, $0 \mathrm{~m}, 0 \mathrm{~m}$ ), what is its displacement (e) in unit-vector notation and as (f) a magnitude and ( $\mathrm{g}$ ) an angle relative to the positive $x$ direction?

In this exercise, write the first five terms of the indicated sequence.

$$a_n=2 n$$

An oval track is made by erecting semicircles on each end of a $50$-m–by–$100$-m rectangle
(a) What is the length of the track?
(b) What is the area of the region enclosed by the track?

Assume that the two cities have the same longitude (that is, assume that one is directly north of the other), and find the distance between them in nautical miles. San Diego and Los Angeles

In what ways are LEDs and diode lasers similar, and in what ways are they different?

In this exercise, write the first five terms of the indicated sequence.

$$a_n=20-n$$