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New York Times
There were 9000 home resales in the nine-state region last month, up almost 27 percent from May, and the highest level since last July, the National ...
Capital Region housing decline slows Albany Times Union
Signs of Life in a Comatose Market: Sales of Capital Region Houses ... istockAnalyst.com (press release)
June home sales up in region , nationally Traverse City Record Eagle
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MarketWatch
new york (MarketWatch) -- US financial stocks fell Tuesday morning with shares of Comerica Inc. and Regions Financial Corp. adding to the selling pressure ...
Regions Loss Exceeds Forecast -- But Bank Has Enough Money to ... istockAnalyst.com (press release)
Regions Financial Slips To Loss In Q2; Shares Down - Update Trading Markets (press release)
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WTEN
The process of getting a chip fab plant to the Capitol Region did not happen overnight. New York State has been trying to lure a manufacturer since the ...
Breaking ground for new era Albany Times Union
So what will go on at GlobalFoundries? WTEN
GlobalFounrdries finally breaks ground WTEN
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welt online
Additionally, the Regional Market Managers and Business Bankers from the Tampa Bay region will report to Mr. Tuttle. "Doug is truly a seasoned veteran of ...
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Hickory Daily Record
The region had the highest jobless rate among the state's 14 metropolitan statistical areas. Catawba County's unemployment rate was 15.5 percent in June, ...
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Connecticut Post
The National Weather Service has posted a hazardous weather outlook, as an approaching front may cause scattered thunderstorms to develop, producing gusty ...
Wednesday's Erie region forecast: Showers GoErie.com
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Sarasota Herald-Tribune
The Sarasota accounting firm of Christopher, Smith, Leonard, Bristow & Stanell has merged with Gulf Coast Tax Solutions CPA. The combined entity is billing ...
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Common Dreams (press release)
... Secretary Janet Napolitano, to review the environmental impacts of border security infrastructure and operations along the US/Mexico border region . ...
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PennLive.com
Hummelstown defeated Lititz 12-4 in the Region 4 Legion baseball championship game at Earl Wenger Field on Thursday afternoon, completing a 5-0 run through ...
Hummelstown 1 away The Patriot-News - PennLive.com
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Daily Astorian
News that hundreds of low-income households in Northwest Oregon could lose their rent assistance in June hit like a ...
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Philippine Star
At the same time, MILF vice chairman Ghadzali Jaafar welcomed the declaration of the SOMO, hailing the move as a step towards attaining peace in the region . ...
Other stories BusinessWorld Online
Moro Muslims welcome suspension of Philippines' attacks www.worldbulletin.net
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York County Coast Star
kennebunk the Southern Maine Agency on Aging is expanding and improving its food service for older people with special needs and others who ...
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Marshall County Tribune
The Marshall County Babe Ruth 12U girls made their mark at the Southeast Region Tournament at Dorey Park in Varina, Va. with their play on the field, ...
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Sarasota Herald-Tribune
By Toni Whitt In another sign of stress on the Southwest Florida economy, giant retailer Dillard's is closing two of its four stores in the region . ...
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ISRIA
In addition to Syria, Mitchell will visit the United Arab Emirates, Egypt and Bahrain. Mitchell visit aims at discussing aspects of peace in the region . ...
Daily Press Briefing US Department of State
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Kansas.com
WICHITA, KS - JULY 22, 2009: Newton Rebels pitcher Joey Hinckley against the Elite Kings in the first inning during their game at Lawrence ...
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Xinhua
Hong Kong, July 20 (Xinhua) -- Influenza A/H1N1 has continued to threaten the people in Asia and Pacific region as more than 200new flu cases were confirmed ...
REGION : Two more county deaths connected to swine flu North County Times - Californian
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Gainesville Sun
Six men wearing masks and armed with guns broke into a Gainesville home and robbed a resident early Wednesday, according to initial reports from police. ...
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PR Newswire (press release) (press release)
MDV-SEIA is the voice of the solar industry in the Mid-Atlantic region , speaking out on solar legislation, codes and standards issues in Richmond, ...
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Washington Examiner
... building Dulles Rail in Tysons Corner and widening I-95 are especially adding to the region's traffic woes, while the stimulus-funded projects have had ...
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Racial Gap in Testing Sees Shift . by Region. . Wednesday, July15, 2009 by narmer. clipped from www.nytimes.com. washington historically, the achievement gap between America's black and white students was widest in Southern states, ...
Find the volume of the solid generated by revolving the region in the first quadrant?
Q. Find the volume of the solid generated by revolving the region in the first quadrant bounded by the x-axis and the curve y = sin 2x, 0 < x < pi/2 about the line x = pi/2.
Asked by Terrance W - Mon Jul 14 09:11:58 2008 - - 1 Answers - 0 Comments
A. Problems like this are usually solved using what is sometimes called 'the method of shells'. The formula for this volume is: V = 2 pi int x f(x) dx In this case, f(x) = sin 2x and the integral goes from 0 to pi/2. Therefore: V = 2 pi int x sin 2x dx We can integrate this by parts. The indefinite integral is: int x sin 2x dx = x (-1/2 cos 2x ) - int (-1/2 cos 2x ) dx = -( x cos 2x ) / 2 + 1/2 ( 1/2 sin 2x ) = ( sin 2x - 2x cos 2x ) / 4 V = 2 pi [ ( sin 2x - 2x cos 2x ) / 4 ] (0, pi/2) = 2 pi ( (0 - pi*(-1))/4 - (0 - 0)/4 ) = pi^2/2 Therefore, the volume is pi^2 / 2 = 4.93.
Answered by screwdog - Mon Jul 14 09:35:14 2008
Q. Find the volume of the solid generated by revolving the region in the first quadrant bounded by the x-axis and the curve y = sin 2x, 0 < x < pi/2 about the line x = pi/2.
Asked by Terrance W - Mon Jul 14 09:11:58 2008 - - 1 Answers - 0 Comments
A. Problems like this are usually solved using what is sometimes called 'the method of shells'. The formula for this volume is: V = 2 pi int x f(x) dx In this case, f(x) = sin 2x and the integral goes from 0 to pi/2. Therefore: V = 2 pi int x sin 2x dx We can integrate this by parts. The indefinite integral is: int x sin 2x dx = x (-1/2 cos 2x ) - int (-1/2 cos 2x ) dx = -( x cos 2x ) / 2 + 1/2 ( 1/2 sin 2x ) = ( sin 2x - 2x cos 2x ) / 4 V = 2 pi [ ( sin 2x - 2x cos 2x ) / 4 ] (0, pi/2) = 2 pi ( (0 - pi*(-1))/4 - (0 - 0)/4 ) = pi^2/2 Therefore, the volume is pi^2 / 2 = 4.93.
Answered by screwdog - Mon Jul 14 09:35:14 2008
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