From the list below, supply the words needed to complete the paragraph. Some words will not be used. abate, droll, decorum, austere, dole, duplicity, abhor. Typhoon Paka hammered the island of Guam for twelve hours before the winds _____. Gusts over one hundred fifty miles an hour devastated the previously green island, creating _____ living conditions for residents in the weeks to come, especially for the estimated five thousand people who lost their homes. Residents able to witness Paka in action were astounded by the serious but almost _____ sight of Paka's invisible forces tossing around automobiles, dumpsters, and palm trees as though they were children's toys. In the days following Paka, residents adhered to traditional post-typhoon _____ by cleaning up hundreds of tons of debris, checking on the condition of friends and neighbors, repairing property, and, because of the lack of electricity, hosting mass barbecues before food perished in warm refrigerators. Luckily, food was not in short supply, but water had to be _____ out by several agencies in the weeks following the tempest.

From the list below, supply the words needed to complete the paragraph. Some words will not be used. droll gamut effigy austere duplicity abhor extrovert A. Monique was a[n] _____ who loved dealing with people, but she never thought that she would satisfy her need for socializing by selling used cars. She always _____ salespeople, but after becoming one, Monique realized that only a fraction of the salespeople indulged in the ____ _ and false promises that make dissatisfied customers angry enough to burn _____ of them. In fact, she enjoyed running through the ____ _ of sales techniques needed to close the deal. From the list below, supply the words needed to complete the paragraph. Some words will not be used. abate decorum dole abhor droll austere duplicity B. Typhoon Paka hammered the island of Guam for twelve hours before the winds _____ . Gusts over one hundred fifty miles an hour devastated the previously green island, creating _____ living conditions for residents in the weeks to come, especially for the estimated five thousand people who lost their homes. Residents able to witness Paka in action were astounded by the serious but almost _____ sight of Paka's invisible forces tossing around automobiles, dumpsters, and palm trees as though they were children's toys. In the days following Paka, residents adhered to traditional post-typhoon _____ by cleaning up hundreds of tons of debris, checking on the condition of friends and neighbors, repairing property, and, because of the lack of electricity, hosting mass barbecues before food perished in warm refrigerators. Luckily, food was not in short supply, but water had to be _____ out by several agencies in the weeks following the tempest.

From the list below, supply the words needed to complete the paragraph. Some words will not be used. magnanimous, impeccable, impound, contrite, expatriate, emulate, collaborate. "Don't _____ me, kid-unless you want to spend time in the slammer, too," Buddy laughed as he put his hands in the air and glanced around. "But if you're really interested, maybe we can _____ on helping' you pick the winning horse." Lucas didn't return his uncle's smirk, and Buddy became _____. Lucas never really adapted to conversing through a sheet of Plexiglas, and the tinny sound of Buddy's musing through the two-way intercom made him uncomfortable. Lucas came to the prison only because the police were going to _____ Buddy's car if no one removed it from the credit union parking lot, and Lucas thought that he was being _____ by mentioning that he, like Buddy, had an interest in horse racing.

From the list below, supply the words needed to complete the paragraph. Some words will not be used. droll, duplicity, gamut, abhor, effigy, extrovert, austere. Monique was a[n] _____ who loved dealing with people, but she never thought that she would satisfy her need for socializing by selling used cars. She always _____ salespeople, but after becoming one, Monique realized that only a fraction of the salespeople indulged in the _____ and false promises that make dissatisfied customers angry enough to burn _____ of them. In fact, she enjoyed running through the _____ of sales techniques needed to close the deal.

A character answering a telephone during the play Julius Caesar would be an anachronism because ______.

What restrictions on equality and opportunity existed for women in the 1960s and 1970s?

From the list below, supply the words needed to complete the paragraph. Some words will not be used. frivolous, impetuous, deify, catalyst, foible, harp, alacrity. Steve never realized it, but his single_____ was his _____ in complaining about _____ things that do not even bother most people; for example, if a waiter brought Steve the wrong beverage, Steve _____ about the mistake for days. Luckily, he was not so _____ as to cause embarrassing scenes in public.

From the list below, supply the words needed to complete the paragraph. Some words will not be used. chauvinist, ostentatious, beIated, egalitarian. The corporation claimed to endorse _____ company policies, but some of the managers were _____ who refused to promote anyone not native to Scandinavia. One of the foreign employees eventually filed suit against the company, and in two years was awarded the _____ promotion he had long deserved.

Evaluate the following integrals. $\int_{-2 / 3}^{2 / \sqrt{3}} \frac{d x}{\sqrt{16-9 x^{2}}}$

Consider the following three ways to approximate ln 2. a. Use the Taylor series for In (1+x) centered at 0 and evaluate it at x=1. Write the resulting infinite series. b. Use the Taylor series for In (1-x) centered at 0 and the identity $\ln 2=-\ln \frac{1}{2}$. Write the resulting infinite series. c. Use the property $\ln \frac{a}{b}=\ln a-\ln b$ and the series of parts (a) and (b) to find the Taylor series for $f(x)=\ln \left(\frac{1+x}{1-x}\right)$ centered at 0. d. At what value of x should the series in part (c) be evaluated to approximate In 2? Write the resulting infinite series for In 2. e. Using four terms of the series, which of the three series derived in parts (a)- (d) gives the best approximation to In 2? Can you explain why?

A 10-lb weight attached to a spring stretches it 2 ft. The weight is attached to a dashpot damping device that offers a resistance numerically equal to $\beta(\beta>0)$ times the instantaneous velocity. Determine the values of the damping constant $\beta$ so that the subsequent motion is underdamped.

Use the part and the percent to find the whole. 6 = 10% of ______

A stream of 5.00 wt% oleic acid in cottonseed oil enters an extraction unit at a rate of 100.0 kg/h. The unit operates as a single equilibrium stage (the streams leaving the unit are in equilibrium) at $85^{\circ} \mathrm{C}$. At this temperature, propane and cottonseed oil are essentially immiscible, the vapor pressure of propane is 34 atm, and the distribution coefficient (oleic acid mass fraction in propane/oleic acid mass fraction in cottonseed oil) is 0.15. a) Calculate the rate at which liquid propane must be fed to the unit to extract 90% of the oleic acid. b) Estimate the minimum operating pressure of the extraction unit. Explain your answer. c) High-pressure operation is costly and introduces potential safety hazards. Suggest two possible reasons for using propane as the solvent when other less volatile hydrocarbons are equally goodsolvents for oleic acid.

Solve each equation. $\left(x+\frac{2}{3}\right)\left(x^{2}+5 x+1\right)=0$