Use a graphing utility to graph the function and the damping factor of the function in the same viewing window. Then analyze the graph of the function. $g(x)=2^{-x^{2} / 2} \cos x$

Record the journal entry for the following merchandise transactions:

• a. Sold merchandise on account, $92,500 with terms 1/10, n/30. The cost of the merchandise sold was$55,500.
• b. Received payment less the discount.

The population $C$ of coyotes (a 4 predator) at time $t$ (in months) in a region is estimated to be

$$C=5000+2000 \sin \frac{\pi t}{12}$$

and the population $R$ of rabbits (its prey) is estimated to be

$$R=25,000+15,000 \cos \frac{\pi t}{12}$$

Use a graphing utility to graph both models in the same viewing window. Use the window setting $0 \leq t \leq 100$.

Promotional discounts are given to stores by manufacturers to place products in preferred locations or to pay for ads, displays, or in-store demonstrations. Calculate the store's net cost to stock the following items and the percentage of the discount given.

$$\begin{array}{|l|r|r|r|r|} \hline {\text { Item }} & \begin{array}{c} \text { Purchase } \\ \text { Amount } \end{array} & \begin{array}{c} \text { Discount } \\ \text { Amount } \end{array} & \begin{array}{c} \text { Net Cost } \\ \text { to Store } \end{array} & \begin{array}{c} \text { Percent } \\ \text { Discount } \end{array} \\ \hline \text { Snowboards } & \$ 5,650 & \$ 847.50 & & \\ \hline \text { CD Players } & \$ 535 & \$ 42.80 & & \\ \hline \end{array}$$

Graph the function

$$f(x)=\dfrac{3x^2-1}{2x^2+1}$$

in the window [-6, 6] by [-2, 2]. What is the apparent horizontal asymptote of the graph?

Graph several level curves of the following functions using the given window. Label at least two level curves with their z-values. z=2x-y; $[ - 2,2 ] \times [ - 2,2 ]$

Bonds with an 8% stated interest rate were issued when the market rate of interest was 5%. This bond was issued at a. face value. b. par value. c. a premium. d. a discount.

Use a graphing utility to graph the function. Choose a window that allows all relative extrema and points of inflection to be identified on the graph. $y=3 x^{3}-9 x+1$

You decide to fly to California on EconoJet Airlines. You are randomly assigned a seat. Seats are numbered by row from 1 to 40 and in each row by A, B, C or D, and amazingly, there is only one window seat in each row. The plane is boarded from the rear in groups of 10 rows at a time. What is the probability that you will be in the first group to board the plane? What is the probability that you get a window seat?

Use a graphing utility to graph the function. Choose a window that allows all relative extrema and points of inflection to be identified on the graph. $y=\frac{x}{\sqrt{x^{2}-4}}$

Find the exact value of each expression without using a calculator. (a) $\arcsin \left(-\frac{1}{2}\right)$ (b) $\arccos \left(-\frac{\sqrt{3}}{2}\right)$

Find the inverse function of f algebraically. Use a graphing utility to graph both f and f$^{-1}$ in the same viewing window. Describe the relationship between the graphs. f(x) = 4x - 9

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window. Then, analyze the graph of the function using the method in Example. $f(x)=e^{x} \cos x$

Amanda window shops, walking 90 feet per minute. Use unit multipliers to convert 90 feet per minute to yards per second.