Water sprays out of a faucet at a rate of $1.5 \mathrm{~m} / \mathrm{s}$ . After a brief distance of falling, the gravitational acceleration causes its speed to climb to  $4.5 \mathrm{~m} / \mathrm{s}$. How would you calculate the area at the lower point by multiplying the stream's initial cross-sectional area by that number?

A pulsed laser produces brief bursts of light. One such laser emits pulses that carry $0.350 \mathrm{~J}$ of energy but last only $225 \mathrm{~fs}$. Assuming the energy is emitted in a cylindrical beam of light $2.00 \mathrm{~mm}$ in diameter, calculate the average intensity of this laser beam.

Water emerges from a faucet at a speed of $1.5 \mathrm{~m} / \mathrm{s}$. Afte falling a short distance, its speed increases to $3 \mathrm{~m} / \mathrm{s}$ as a re sult of the gravitational acceleration. By what numbe would you multiply the original cross-sectional area of th stream to find the area at the lower position?

Police often set up sobriety checkpoints-roadblocks where drivers are asked a few brief questions to allow the officer to judge whether or not the person may have been drinking. If the officer does not suspect a problem, drivers are released to go on their way. Otherwise, drivers are detained for a Breathalyzer test that will determine whether or not they will be arrested. The police say that based on the brief initial stop, trained officers can make the right decision 80% of the time. Suppose the police operate a sobriety checkpoint after 9:00 p.m. on a Saturday night, a time when national traffic safety experts suspect that about 12% of drivers have been drinking.

What's the probability that any given driver will be detained?

Police often set up sobriety check points roadblocks where drivers are asked a few brief questions to allow the officer to judge whether or not the person may have been drinking. If the officer does not suspect a problem, drivers are released to go on their way. Otherwise, drivers are detained for a Breathalyzer test that will determine whether or not they will be arrested. The police say that based on the brief initial stop, trained officers can make the right decision 80% of the time. Suppose the police operate a sobriety checkpoint after 9 P.M. on a Saturday night, a time when national traffic safety experts suspect that about 12% of drivers have been drinking. What's the probability that any given driver will be detained?

In November 1984, a controversial project to clean the frescoes on the ceiling of the Sistine Chapel in Rome began. The frescoes were painted by the Italian painter Michelangelo. Research what had caused these masterpieces to darken. Also, find out why this project was so controversial. Prepare a brief illustrated report on your research.

Match the correct spelling of the term with the brief description of the term below.

( laparoscopy $\quad$ hematemesis $\quad$ parotid $\quad$ jejunum $\quad$ mesentery $\quad$ hematochezia $\quad$ leukoplakia $\quad$ deglutition $\quad$ varices $\quad$ aphthous )

Where most nutrients are absorbed $\rule{4cm}{0.15mm}$

The eccentricity e of an ellipse is defined as the number $\frac{c}{a}$ where a is the distance of a vertex from the center and c is the distance of a focus from the center. Because a > c, it follows that e < 1. Write a brief paragraph about the general shape of each of the following ellipses. Be sure to justify your conclusions. Eccentricity close to 1

Write a balanced equation for the overall cell reaction, and give a brief description of a galvanic cell represented by the following shorthand notation:

$$\mathrm{Pb}(s)\left|\mathrm{Pb}^{2+}(a q)\right|\left|\mathrm{Br}_2(l)\right| \mathrm{Br}^{-}(a q) \mid \mathrm{Pt}(s)$$

There is a 3.9% rate of positive drug test results among workers in the United States (based on data from Quest Diagnostics). Assuming that this statistic is based on a sample of size 2000, construct a 95% confidence interval estimate of the percentage of positive drug test results. Write a brief statement that interprets the confidence interval.

The eccentricity e of an ellipse is defined as the number $\frac{c}{a},$ where a is the distance of a vertex from the center and c is the distance of a focus from the center. Because a > c, it follows that e < 1. Write a brief paragraph about the general shape of each of the following ellipses. Be sure to justify your conclusions. Eccentricity close to 0.

Match the correct spelling of the term with the brief description of the term below.

( laparoscopy $\quad$ hematemesis $\quad$ parotid $\quad$ jejunum $\quad$ mesentery $\quad$ hematochezia $\quad$ leukoplakia $\quad$ deglutition $\quad$ varices $\quad$ aphthous )

Salivary gland beside the ear $\rule{4cm}{0.15mm}$

Work in groups of two or three.
Writing to Learn Use the Formula discussed before,

$$\int \frac{d x}{a^2-x^2}=\frac{1}{2 a} \ln \left|\frac{x+a}{x-a}\right|+C .$$

from the Brief Table of Integrals to evaluate

$$\int \frac{d x}{5+4 x-x^2}$$

explaining each step.

Match the correct spelling of the term with the brief description of the term below.

( laparoscopy $\quad$ hematemesis $\quad$ parotid $\quad$ jejunum $\quad$ mesentery $\quad$ hematochezia $\quad$ leukoplakia $\quad$ deglutition $\quad$ varices $\quad$ aphthous )

Double layer of peritoneum enclosing viscera $\rule{4cm}{0.15mm}$