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Unformatted text preview: x is u = dx d ` and hence the work is given by the integral gρ`w Z d x dx d d x = g`wρd 2 6 = 1 . 5 × 10 7 J 1 b) The time it takes to empty the pool is 1 . 5 × 10 7 7 . 5 3 = 2000s which approximately 0 . 55 hours. IV: a) Slice parallel to the y axis. The volume is given by 2 π Z 1 x √ 1 + x d x = 4 π 15 (2 √ 2 + 1) b) Again, slice parallel to the y axis. The volume is given by the integral π Z 1 (1 + x )d x = 3 π 2 2...
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 Fall '08
 N/A
 Calculus, dx, slice parallel

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