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

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.

Convert the polar equation to rectangular form.

$$r^2=4\cos2\theta$$

What do scientists think might be the evolutionary , function of a courtship display?

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

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

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

Explain why the reptiles are represented by more than one evolutionary lineage.

Identify each of the following as a monomial, a binomial, a trinomial, or none of these.

$$7$$

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 $P(z<c)=.9251$

Find each product. See the examples in this section.

$$(2 m+3)(2 m-3)$$

Solve the right triangle given the information in each problem.

a = 134 m, c = 182 m (angles to the nearest 0.1 deg)

Calculate the weight density of a block of material $4.27$ in. $\times 3.87$ in. $\times 5.44$ in. that weighs $0.982 \mathrm{lb}$.

Determine whether the statement is true or folse. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If $f(x, y)$ has two local maxima, then $f$ must have a local minimum.

Solve the right triangle given the information in each problem.

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