The following is a list of well-known companies.

1. Alcoa Inc.
2. Boeing
3. Caterpillar
4. Citigroup Inc.
5. CVS
6. Dow Chemical Company
7. eBay Inc.
8. FedEx
9. Ford Motor Company
10. Gap Inc.
11. H&R Block
12. Hilton Hospitality, Inc.
13. Procter & Gamble
14. SunTrust
15. Walmart Stores, Inc. a. Indicate whether each of these companies is primarily a service, merchandise, or manufacturing business. If you are unfamiliar with the company, use the Internet tolocate the company’s home page or use the finance Web site of Yahoo (http://finance.yahoo.com).

A manufacturer claims its cleanser works twice as fast as any other. Could tests be performed to support the claim? Explain.

Use both the first and second derivative tests to show that

$$f(x)=3x^2-6x+1$$

has a relative minimum at x=1.

A nature photographer wishes to photograph a 22-m tall tree from a distance of $50$ m. What focal- length lens should be used if the image is to fill the $24$-mm height of the film?

In this exercise, use the algebraic tests to check for symmetry with respect to both axes and the origin. Then sketch the graph of the equation.

$$y=x^2+2$$

Give he value of the discriminant and determine the nature of the roots of each equation. If the equation is factorable, say so.

$$k ^ { 2 } - 4 \sqrt { 2 } k + 4 = 0$$

Many medical laboratory tests are run using $5.0 \mu \mathrm{L}$ blood serum. What is this volume in milliliters?

When a couple requests a test for cystic fibrosis, what types of questions might the physician ask before ordering the tests?

Use the general factoring strategy to completely factor each polynomial. If the polynomial does not factor, then state that it is nonfactorable over the integers.

$$a^2+a+b-b^2$$

For chi-square tests of independence and of homogeneity, do we use a right-tailed, left-tailed, or two-tailed test?

Many tax preparation organizations will prepay customers' tax refund s if they pay a one-time finance charge. In essence, the customer is borrowing the money (the refund minus the finance charge) from the tax preparer, prepaying the interest (as in a discount note), and then repaying the loan with the tax refund. This procedure allows customers access to their tax refund money without having to wait. Joy had a tax refund of $743.21 due. She was able to get her tax refund immediately by paying a finance charge of$39.9 5. What annual simple interest rate, to the nearest hundredth of a percent, is Joy paying for this loan assuming (a) The tax refund check would be available in 5 days? (b) The tax refund check would be available in 10 days? (c) The tax refund check would be available in 20 days?

In Exercise, find the relative extrema using both the first and second derivative tests.

$$f ( x ) = 2 x ^ { 3 } - 9 x ^ { 2 } + 12 x$$

Jeanne has a $\$ 14,800,3 \frac{1}{2}$-year loan with an APR of 8.56%. a. What is the monthly payment for this loan? b. If she changes the loan to a 3-year loan, what is the monthly payment? c. What is the difference in the monthly payments for the two loans? d. Which loan has the higher finance charge? What is the difference in the finance charge for these two loans? e. Do you feel that it is worth paying the higher monthly payment to have the loan finish six months earlier?

On the basis of the repulsive nature of the force between like charges and the freedom of motion of charge within a conductor, explain why excess charge on an isolated conductor must reside on its surface.