Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Our Organization's bylaws state the following: "The Secretary of the Association will submit an agenda two weeks before each meeting." _________

Graph each function over the interval $[-2 \pi, 2 \pi]$. Explain how the graphs are transformations of $y=\sin x$ or $y=\cos x$.

$$g(x)=3 \cos \left(x+\frac{\pi}{4}\right)$$

Find the first derivatives of the functions.

$$y=\sin [(2 t+5)^{-2 / 3}]$$

Using what you have learned about transformations of the graph $y=\frac{1}{x}$, can you find the equations of the asymptotes of the function $f(x)=\frac{p}{c x+d}+q$, and hence state the domain and range?

Washington County’s Board of Representatives is considering the construction of a longer runway at the county airport. Currently, the airport can handle only private aircraft and small commuter jets. A new, long runway would enable the airport to handle the midsize jets used on many domestic flights. Data pertinent to the board’s decision appear below.

$$\begin{array}{lr} \text{Cost of acquiring additional land for runway } &\$\hspace{5pt} 70,000\\ \text{Cost of runway construction} &200,000\\ \text{Cost of extending perimeter fence} & 29,840\\ \text{Cost of runway lights} &39,600\\ \text{Annual cost of maintaining new runway} &28,000\\ \text{Annual incremental revenue from landing fees} &40,000\\ \end{array}$$

In addition to the preceding data, two other facts are relevant to the decision. First, a longer runway will require a new snowplow, which will cost $100,000. The old snowplow could be sold now for$10,000. The new, larger plow will cost $12,000 more in annual operating costs. Second, the County Board of Representatives believes that the proposed long runway, and the major jet service it will bring to the county, will increase economic activity in the community. The board projects that the increased economic activity will result in$64,000 per year in additional tax revenue for the county.

In analyzing the runway proposal, the board has decided to use a 10-year time horizon. The county’s hurdle rate for capital projects is 12 percent.

Required:

1. Prepare a net-present-value analysis of the proposed long runway.

2. Should the County Board of Representatives approve the runway?

3. Which of the data used in the analysis are likely to be most uncertain? Least uncertain? Why?

Find the sum. - 25 + 50.

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Can you stay late tonight to work on this project? no, not tonight. _________

Find the sum. -54 + 40

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

The library of congress features a collection of african-american writers. _________

Draw the trajectories of seven rays that leave the object heading toward the seven dots on the boundary. Assume $n_2<n_1$ and $\theta_{{c}}=45^{\circ}$.

Use proofreading marks to correct any capitalization errors in the following sentence. Indicate the total number of changes at the right.

Tom Kayler, who owns a Construction Services Company, now gets all his mail delivered Online. ______

An initial amplitude k, damping constant c, and frequency f or period p are given. (Recall that frequency and period are related by the equation f=1 / p.)

(a) Find a function that models the damped harmonic motion. Use a function of the form $y=k e^{-c t} \sin \omega t$ in Exercises given below.

(b) Graph the function.

$$k=1, \quad c=1, \quad p=1$$

Find the derivatives of the functions in the ff exercise.

$$v=(1-t)(1+t^2)^{-1}$$

The vertices of a triangle are A(2, 5), B(1, 2), and C(3, 1). Find the coordinates of the image after the transformations given. Reflect in the x-axis, and then rotate $90^{\circ}$ counterclockwise about the origin.