What do you make of lines 19-22? Are these two statements logical? Do they sound true to you?

What metaphors does the speaker use to describe our skin, which comes in all colors; the plants; animal life; and language itself?

What elements of nature does the speaker personify-that is, in what way does she talk about them as if they were human?

The disk method can be used in any situation in which the washer method is successful at finding the volume of a solid of revolution.

Most centroid calculations for curves are done with a calculator or computer that has an integral evaluation program. As a case in point, find, to the nearest hundredth, the coordinates of the centroid of the curve

$$x = t ^ { 3 } , \quad y = 3 t ^ { 2 } / 2 , \quad 0 \leq t \leq \sqrt { 3 }.$$

Use a graphing utility to graph the curve $x^{2}+y^{2}=\sqrt{x^{2}+y^{2}}+x.$ Find the equation of each horizontal tangent to the curve. (The curve is called a cardioid.)

Find out how well your classmates would score on a test on which they had to guess the answer to every question. Work in a small group of 3-4 students. Make up a 20-question multiple-choice test using the topic of obscure and unimportant sports data. Use an almanac, a sports encyclopedia, a book of records, or any other source to find facts unfamiliar to anyone in your class. Ask everybody to take the test. Then grade the test as a class. Record and analyze the results. Find the standard deviation.

Write an equation for each circle given the center and radius.

$$\text { center: } : ( - 2 , - 1 ) , r = 9$$

Debate the following passage. But in the event that the Congress shall fail to take one of these two courses, and in the event that the national emergency is still critical, I shall not evade the clear course of duty that will then confront me. I shall ask the Congress for the one remaining instrument to meet the crisis-broad executive power to wage a war against the emergency as great as the power that would be given me if we were in fact invaded by a foreign foe. What image of a leader does Roosevelt project in this passage?

a) With a partner, show how to convert $69.375^{\circ}$ to $69^{\circ} 22' 30''$.

b) Change the following angles into degrees-minutes-seconds.

i) $40.875^{\circ}$ ii) $100.126^{\circ}$

iii) $14.565^{\circ}$ iv) $80.385^{\circ}$

Can you have zero displacement and nonzero average velocity? Zero displacement and nonzero velocity? Illustrate your answers on an x-t graph.

Which shows the GCF of 18 and 24 with $\frac{18}{24}$ in simplest form? (A) GCF: $3;\frac{3}{4}$ (B) GCF: $3;\frac{6}{8}$ (C) GCF: $6; \frac{3}{4}$ (D) GCF: $6; \frac{6}{8}$

Suppose that the distance traveled by a toy car in the first t seconds is $d(t)=20 r^{2}$. What is the velocity of the car at time t?

Four different paints are advertised as having the same drying time. To check the manufacturer’s claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.

$$\begin{matrix} \text{Paint 1} & \text{Paint 2} & \text{Paint 3} & \text{Paint 4}\\ \text{128} & \text{144} & \text{133} & \text{150}\\ \text{137} & \text{133} & \text{143} & \text{142}\\ \text{135} & \text{142} & \text{137} & \text{135}\\ \text{124} & \text{146} & \text{136} & \text{140}\\ \text{141} & \text{130} & \text{131} & \text{153}\\ \end{matrix}$$

At the $\alpha =$ .05 level of significance, test to see whether the mean drying time is the same for each type of paint.