Unformatted text preview: , 4] and an average value of 9 on [4 , 6] then what is the average value of f on [3 , 6]? 5 (16 pts) The base of a solid is the region in the xyplane enclosed by the two parabolas y = 2x 2 and y =6 + x 2 . If the crosssections perpendicular to the xaxis are right isosceles triangles with side lying on the xyplane then what is the volume of the solid? 6 (16 pts) Find the volume of the solid of revolution generated by revolving the region enclosed by x = 2cos y , x = sin y , y = 0, and y = π about the yaxis. Note: cos 2 ysin 2 y = cos(2 y ) 7 (16 pts) Find the volume of the solid of revolution generated by revolving the region enclosed by y = 12( x 2x 3 ) and the xaxis in the ﬁrst quadrant about the yaxis. The region is graphed below. 0.2 0.4 0.6 0.8 1 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 x y...
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 Fall '07
 BERMAN
 Math, TA, 10 pts, 16 pts

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