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RE: [apcalculus] ellipsoid
Posted:
May 25, 2012 10:20 AM


Kevin,
I see that I misread your question. Can you clarify what you (or your student) means by "the integral of the area of an ellipse?" The area of an ellipse is a number. Do you mean to integrate this constant?
Alan
Alan Lipp 19 Payson Avenue Easthampton, MA 01026 4135293278
The Williston Northampton School inspires students to live with passion, purpose, and integrity.
Original Message From: Lenore Horner [mailto:Lenore.Horner@7hills.org] Sent: Friday, May 25, 2012 9:43 AM To: AP Calculus Cc: AP Calculus Subject: Re: [apcalculus] ellipsoid
I'm not sure what the student is trying to integrate. If integral (pi*a*b) dx then this is the volume of an elliptical cylinder because all the slices that the integral stacks up are the same size rather than becoming smaller as an ellipsoid should.
On May 24, 2012, at 17:17:26, Kevin Regardie wrote:
> A student thinks that the integral of the area of an ellipse (pi*ab) is the same as the volume of an ellipsoid (4/3pi*abc). I told him it is not the same but had a hard time proving it. Can anyone shed some light on this relationship? > ==== > Course related websites: > http://apcentral.collegeboard.com/calculusab > http://apcentral.collegeboard.com/calculusbc >  > To search the list archives for previous posts go to > http://lyris.collegeboard.com/read/?forum=apcalculus > To unsubscribe click here: > http://lyris.collegeboard.com/read/my_forums/ > To change your subscription address or other settings click here: > http://lyris.collegeboard.com/read/my_account/edit
==== Course related websites: http://apcentral.collegeboard.com/calculusab http://apcentral.collegeboard.com/calculusbc  To search the list archives for previous posts go to http://lyris.collegeboard.com/read/?forum=apcalculus To unsubscribe click here: http://lyris.collegeboard.com/read/my_forums/ To change your subscription address or other settings click here: http://lyris.collegeboard.com/read/my_account/edit
==== Course related websites: http://apcentral.collegeboard.com/calculusab http://apcentral.collegeboard.com/calculusbc  To search the list archives for previous posts go to http://lyris.collegeboard.com/read/?forum=apcalculus To unsubscribe click here: http://lyris.collegeboard.com/read/my_forums/ To change your subscription address or other settings click here: http://lyris.collegeboard.com/read/my_account/edit



