The function $A$ defined by

$$A(x)=1+\frac{x^3}{2 \cdot 3}+\frac{x^6}{2 \cdot 3 \cdot 5 \cdot 6}+\frac{x^9}{2 \cdot 3 \cdot 5 \cdot 6 \cdot 8 \cdot 9}+\cdots$$

is called an Airy function after the English mathematician and astronomer Sir George Airy (1801-1892).

Graph the first several partial sums on a common screen.

How did American economic principles and the ideas of social Darwinists encourage the growth of big business?

Is there sufficient evidence to conclude that the General Social Survey in 2010 overrepresented at least one race (RACE)?

The desire to maximize profits can work against racial and other types of discrimination. To see this, consider two equally productive accountants named Ted and Jared. Ted is black, and Jared is white. Both can complete 10 audits per month.

a. Suppose that for any accounting firm that hires either Ted or Jared, all the other costs of performing an audit (going rate that must be paid to hire an accountant is $7,000 per month, how much will it cost an accounting firm to produce one audit if it hires either Ted orJared to do the work.

b. If the market price that accounting firms charge their clients for an audit is$1,800, what would the accounting profit per audit be for a firm that hired either Ted or Jared? What is the profit rate as a percentage?

c. Suppose that firm A dislikes hiring black accountants, while firm B is happy to hire them. So Ted ends up working at firm B rather than firm A. If Ted works 11 months per year, how many audits will he complete for firm B each year? How much in accounting profits will firm B earn each year from those audits?

d. Because firm A passed on hiring Ted because he was black, firm A is forgoing the profits it could have earned if it had hired Ted. If the firm is willing to forgo up to $5,000 per year in profit to avoid hiring blacks, by how many dollars will firm A regret its decision not to hire Ted?

What are the words to use when writing a job description?

You are an economic adviser to a candidate for national office. She asks you for a summary of the economic consequences of a balanced-budget rule for the federal government and for your recommendation on whether she should support such a rule. How do you respond?

What is one hypothesis that could explain how a dominance hierarchy benefits the animals in a social group?

Should organizations that promote free trade have environmental or social checks and balances? Why or why not?

What is Menéndez trying to say in her depiction of the tourists and tour guides who make Domino Park a regular stop on their daily routes (paras. $158–164, 173–183$)? Consider specific descriptions of the tourists themselves, “the amplified voice in English, then in Spanish,” the tour leader’s explanation of the activity being observed, and the tour leader’s response to Máximo’s outburst. Why was this confrontation with the tourists a “moment that had long been missing from [Máximo’s] life” (para. $178$)?

Some of the possessive case nouns in these phrases are correct, and others are not. On the lines provided, revise those that are incorrect. If a phrase is correct, write C on the line.

Example 1. women’s office $\underline{\color{#c34632}{C}}$

four geeses’ eggs ____________________________________

Why is it important to define a variable before writing an equation?

Roper Furniture manufactures office furniture and tracks cost data across their process. The following are some of the costs that they incur. Classify these costs as fixed or variable costs, and as product costs or period costs. C. Production supervisor salary ($45,000 per year)

How can you save time by writing proofs?

Explain why promotion via social media is likely to become much more important in future.