Choose the word that could be substituted for the italicized word or phrase in the sentence below. Wounded soldiers were seen falling back all over the battlefield.

Fill in the blank or answer true/false without referring back to the text. The functions $f(x)=x^{2}-1$ and $g(x)=x^{5}$ are orthogonal on the interval $[-\pi, \pi]$. ____

Convert the given equation to polar coordinates and then sketch the graph.

$$x^2+y^2=25$$

Solve the right triangle given the information in each problem.

b = 22.0 ft, a = 46.2 km (angles to the nearest 10')

In the following symbolized arguments, derive the line needed to obtain the conclusion (last line), and supply the justification for both lines. $1. C \supset A \\ 2. A \supset C \\ 3. \text{\_\_\_\_\_\_ \_\_\_\_} \\ 4. C \equiv A \text{\_\_\_\_\_\_}$

Let z be a standard normal random variable with mean $\mu=0$ and standard deviation $\sigma=1$. Find the value $c$ that satisfies the inequality $P(z<c)=.9251$

In the following symbolized arguments, derive the line needed to obtain the conclusion (last line ), and supply the justification for both lines. $1. K \vee C \\ 2. \sim C \\ 3. \text{\_\_\_\_\_ \_\_\_\_} \\ 4. K \text{\_\_\_\_}$

Convert the polar equation to rectangular form and sketch its graph.

r=3

What evolutionary advances are seen in the phyla of bilaterally symmetrical worms?

Propose an evolutionary explanation for introns. Why might they have evolved?

Using the phylogenetic tree in Figure 16.1 as a guide, discuss what indicates that bacteriorhodopsin may have been a late evolutionary invention and that anaerobic respiration with $S\degree$ as electron acceptor might have been an early evolutionary invention.

Expand the binomial: $\left(x-\frac{1}{3}\right)^4$ .

For each of the following lists of premises, derive the conclusion and supply the justification for it. There is only one possible answer for each problem. $1. \ \sim C \supset \sim F \\ 2. \ L \supset F \\ 3. \ \sim \sim F \\ 4. \ F \vee \sim L \\ {\text{ 5. \_\_\_\_\_\_ \_\_\_\_} }$

Convert the polar equation to rectangular form.

$$r^2=2\sin\theta$$