Think of a person you admire. This person could be a friend, family member, or famous person. Draw him or her and describe your drawing.

Match each person with the adjective(s) used to describe them in this video segment. Some adjectives may be used for more than one person.

a. heureux/heureuse

b. sérieux/sérieuse

c. brillant(e)

d. intelligent(e)

e. timide

f. sociable

g. joli(e)

h. curieux/curieuse

Henri

Match each person with the adjective(s) used to describe them in this video segment. Some adjectives may be used for more than one person.

a. heureux/heureuse

b. sérieux/sérieuse

c. brillant(e)

d. intelligent(e)

e. timide

f. sociable

g. joli(e)

h. curieux/curieuse

Stéphane

If $X_1, . . . , X_n$ is a sample from a normal population whose mean $\mu$ is unknown but whose variance $\sigma^{2}$ is known, show that $\left(-\infty, \bar{X}+z_{\alpha} \sigma / \sqrt{n}\right)$ is a $100(1-\alpha)$ percent lower confidence interval for $\mu$.

A 200.0-liter water tank can withstand pressures up to 20.0 bar absolute before rupturing. At a particular time the tank contains 165.0 kg of liquid water, the fill and exit valves are closed, and the absolute pressure in the vapor head space above the liquid (which may be assumed to contain only water vapor) is 3.0 bar. A plant technician turns on the tank heater, intending to raise the water temperature to $155^{\circ} \mathrm{C}$, but is called away and forgets to return and shut off the heater. Let $t_{1}$ be the instant the heater is turned on and $t_{2}$ the moment before the tank ruptures. Use the steam tables for the following calculations. a) Determine the water temperature, the liquid and head-space volumes (L), and the mass of water vapor in the head space (kg) at time $t_{1}$. b) Determine the water temperature, the liquid and head-space volumes (L), and the mass of water vapor (g) that evaporates between $t_{1} \text { and } t_{2}$. (Hint: Make use of the fact that the total mass of water in the tank and the total tank volume both remain constant between $t_{1} \text { and } t_{2}$.) c) Calculate the amount of heat (kJ) transferred to the tank contents between $t_{1} \text { and } t_{2}$. Give two reasons why the actual heat input to the tank must have been greater than the calculated value. d) List three different factors responsible for the increase in pressure resulting from the transfer of heat to the tank. (Hint: One has to do with the effect of temperature on the density of liquid water.) e) List ways in which this accident could have been avoided. f) One of the suggestions you may have made in Part (e) is to put a relief valve on the top of the tank. Suppose that one had been installed and that it was designed to open when the tank pressure reached 10 bar. The design calls for the opened valve to allow steam to escape into a pipe that vents it to the atmosphere. At what temperature would the valve open? At what rate would the relief valve need to release steam (kg/kJ of added heat) in order to keep the tank pressure from rising above 10 bar?

Match each person with the adjective(s) used to describe them in this video segment. Some adjectives may be used for more than one person.

a. heureux/heureuse

b. sérieux/sérieuse

c. brillant(e)

d. intelligent(e)

e. timide

f. sociable

g. joli(e)

h. curieux/curieuse

Charles

Match each person with the adjective(s) used to describe them in this video segment. Some adjectives may be used for more than one person.

a. heureux/heureuse

b. sérieux/sérieuse

c. brillant(e)

d. intelligent(e)

e. timide

f. sociable

g. joli(e)

h. curieux/curieuse

Françoise

Find the derivative of the following functions. $g(x)=6 x^{5}-\frac{5}{2} x^{2}+x+5$

The following are the daily number of steps taken by a certain individual in 20 weekdays.

$$\begin{matrix} \text{2,100} & \text{1,984} & \text{2,072} & \text{1,898}\\ \text{1,950} & \text{1,992} & \text{2,096} & \text{2,103}\\ \text{2,043} & \text{2,218} & \text{2,244} & \text{2,206}\\ \text{2,210} & \text{2,152} & \text{1,962} & \text{2,007}\\ \text{2,018} & \text{2,106} & \text{1,938} & \text{1,956}\\ \end{matrix}$$

Assuming that the daily number of steps is normally distributed, construct (a) a 95 percent and (b) a 99 percent two-sided confidence interval for the mean number of steps. (c) Determine the largest value v that, “with 95 percent confidence,” will be less than the mean range.

City A's population is 15,000; City B's is 12,000. a. City A's population is what percent larger than City B's? b. City B's population is what percent less than City A's? c. City A's population is what percent of City B's? d. City B's population is what percent of City A's?

Each of 20 science students independently measured the melting point of lead. The sample mean and sample standard deviation of these measurements were (in degrees centigrade) 330.2 and 15.4, respectively. Construct (a) a 95 percent and (b) a 99 percent confidence interval estimate of the true melting point of lead.

Draw two lines under each verb phrase and circle each auxiliary verb. Charlie is learning patience from his grandfather.

Given that f'(3)=6 and g'(3)=-2, find (f+g)'(3).

Two lasers situated on a moving spacecraft are triggered simultaneously. An observer on the spacecraft claims to see the pulses of light simultaneously. What condition is necessary in order that another observer agrees that the two pulses are emitted simultaneously?