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Unformatted text preview: Math 152, Spring 2011, Review for Midterm 1, sections 13, 79 Your first midterm examination is likely to contain some prob- lems that do not resemble these review problems. I. Applications of Integration (1-3) Find the volumes of the solids obtained by rotating the indicated region R in the xy-plane about the specified axis: (1) Region: R is bounded by y = 1, y = ln x and x = e 2 . Axes: ( a ) the line y =- 1; ( b ) the line x =- 2. (2) Region: R consists of all points ( x,y ) with 0 x and 0 y sin x . Axes: (2 a ) the line y =- 2; (2 b ) the line x =- 1. (3) Region: R is bounded by x = y (4- y ) and the y-axis Axis: the y-axis. (4) Write down the integral used to compute the work done against gravity in building a granite pyramid 500 feet high with a square base of side length 800 feet. Take the density of granite as 170 lbs per cubic foot. Explain in detail how the integral is obtained....
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- Fall '08