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Topic: [ap-calculus] ellipsoid
Replies: 1   Last Post: May 25, 2012 10:20 AM

 Alan Lipp Posts: 1,091 Registered: 12/6/04
RE: [ap-calculus] 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
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Easthampton, MA 01026
413-529-3278

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: [ap-calculus] 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?
> ====
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> http://apcentral.collegeboard.com/calculusab
> http://apcentral.collegeboard.com/calculusbc
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====
Course related websites:
http://apcentral.collegeboard.com/calculusab
http://apcentral.collegeboard.com/calculusbc
---
To search the list archives for previous posts go to

====
Course related websites:
http://apcentral.collegeboard.com/calculusab
http://apcentral.collegeboard.com/calculusbc
---
To search the list archives for previous posts go to