Escribe la histor ia que tu compañero(a) y tú han inventado y compártela con la clase.

Describe how the example of agricultural fields supports the idea that species richness promotes stability.

The variation of temperature in a plane wall is determined to be $T(x)=110 x-48 x$ where $x$ is in $\mathrm{m}$ and $T$ is in ${ }^{\circ} \mathrm{C}$. If the thickness of the wall is $0.75 \mathrm{~m}$, the temperature difference between the inner and outer surfaces of the wall is (a) $110^{\circ} \mathrm{C}$ (b) $74^{\circ} \mathrm{C}$ $(c)$ $55^{\circ} \mathrm{C}$ (d) $36^{\circ} \mathrm{C}$ (e) $18^{\circ} \mathrm{C}$

See the example in this section.

When highway curves are designed, the outside of the curve is often slightly elevated or inclined above the inside of the curve. This inclination is called superelevation. For safety reasons, it is important that both the curve's radius and superelevation are correct for a given speed limit.

If an automobile is traveling at velocity $V$ (in feet per second), the safe radius $R$ for a curve with superelevation $\theta$ is modeled by the formula

$$R=\frac{V^2}{g(f+\tan \theta)}$$

where $f$ and $g$ are constants.

How would increasing the angle $\theta$ affect the results? Verify your answer by repeating parts (a) and (b) with $\theta=4^{\circ}$.

Can a CPA auditor be independent without being objective? Can a CPA auditor be objective without being independent? Explain.

Use the model $\mathrm{pH}=-\log _{10}\left[\mathrm{H}^{+}\right]$. Compute the hydrogen ion concentration $\left[\mathrm{H}^{+}\right]$ of a solution for which pH=7.3.

Let A and B be two events. Suppose that P (A), P (B), and P (AB) are given. What is the probability that neither A nor B will occur?

Compute the price relatives for the four stocks making up the Boran index in table below. Use the weighted aggregates of price relatives to compute the January 2009 and March 2009 Boran indexes.

$$\begin{matrix} \text{ } & \text{ } & \text{ } & \text{ } & \text{Price per Share (\$)}\\ \text{ } & \text{ } & \text{2007} & \text{2007} & \text{January} & \text{March}\\ \text{Stock} & \text{Industry} & \text{Quantity} & \text{Base} & \text{2009} & \text{2009}\\ \hline \text{A} & \text{Oil} & \text{100} & \text{31.50} & \text{22.75} & \text{22.50}\\ \text{B} & \text{Computer} & \text{150} & \text{65.00} & \text{49.00} & \text{47.50}\\ \text{C} & \text{Steel} & \text{75} & \text{40.00} & \text{32.00} & \text{29.50}\\ \text{D} & \text{Real Estate} & \text{50} & \text{18.00} & \text{6.50} & \text{3.75}\\ \end{matrix}$$

Evaluate the surface integral $\iint_S \mathrm{F} \cdot d \mathrm{S}$ for the given vector field $\mathrm{F}$ and the oriented surface $S$. In other words, find the flux of $\mathrm{F}$ across $S$. For closed surfaces, use the positive (outward) orientation.

$$\mathrm{F}(x, y, z)=x^2 \mathrm{i}+y^2 \mathrm{j}+z^2 \mathrm{k}$$

where $S$ is the boundary of the solid half-cylinder $0 \leqslant z \leqslant \sqrt{1-y^2}, 0 \leqslant x \leqslant 2$.

Betas Answer the questions below for assets A to D shown in the table.

d. If you believed that the market return would decrease in the near future, which asset would you prefer? Why?

Which of the following species does not have tail flukes?

A) Blue whales

B) Pakicetus

C) Dorudon

D) Killer whales

In Scenes 2 and 3, Cassius explains why he is opposed to Caesar. Does Cassius seem motivated more by personal rivalry or by concern for the future of Rome? Cite details to support your conclusion.

What is the pH and the principal source of $\mathrm{H}_3 \mathrm{O}^{+}$ions in $1.0 \times 10^{-10} \mathrm{M} \mathrm{HCl}$ ? (Hint: The $\mathrm{pH}$ of an acid solution can't exceed 7.) What is the $\mathrm{pH}$ of $1.0 \times 10^{-7} \mathrm{M} \mathrm{HCl}$ ?

Which is always a correct conclusion about the quantities in the function $y=2 x$ ?

F The value of $y$ will always be positive.

G The value of $y$ will always be greater than the value of $x$.

H The value of $y$ is always twice $x$.

J As the value of $x$ increases, the value of $y$ decreases.