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Unformatted text preview: y = x 3 and y = x . Crosssections perpendicular to the xaxis are semicircles. i. (+5 points) Draw a diagram of the sculpture. Show the base and a typical crosssection. Label the elements of your diagram appropriately. ii. (+5 points) Find the volume of the solid S . Page 4 of 4 5. (+10 points) Find the volume of the solid generated by rotating the region bounded by the given curves about the yaxis. y = x 2 , y = 3 x 6. (+10 points) On a certain website, the popularity of a recently posted video is modeled by the function P( t ) = 10 e – t /24 , t hours after it is posted. What is the average popularity during the first week it is posted to the website?...
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 Fall '06
 Aristidou
 Cartesian Coordinate System

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