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December 21, 2014

December 21, 2014

Posted by **andy** on Thursday, July 18, 2013 at 12:14pm.

- calculus -
**Steve**, Thursday, July 18, 2013 at 12:29pmsomething's wrong. The region is not closed.

- calculus -
**andy**, Thursday, July 18, 2013 at 12:36pmi believe its bounded from y=0 to y=2

- calculus -
**Steve**, Thursday, July 18, 2013 at 12:41pmAh. In that case, using discs (washers),

v = ∫[0,2] π(R^2-r^2) dy

where R = 4y and r = 2y^2, so

v = ∫[0,2] π((4y)^2-(2y^2)^2) dy

= 4π∫[0,2] 4y^2 - y^4 dy

= 1024/15 π

- calculus -
**andy**, Thursday, July 18, 2013 at 12:45pmno, i think that

∫[0,2] π((4y)^2-(2y^2)^2) dy is 256/15π

- calculus -
**Steve**, Thursday, July 18, 2013 at 12:57pmyou may be right. maybe I mixed in an unneeded factor of 4 somewhere.

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