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Here Is The Function Prof Nelson Should Have Used

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Posted by Richard Ruquist on June 1, 2003 12:35:51 UTC

Dear Paul,

Prof Nelson had the right idea but the wrong function. He should have used


y+1/x

Then the volume, an integral over 1/x^^2
equals k/x evaluated at 1 and infinity (k=pi),
and is finite

Whereas the surface area, an integral over 1/x
times the slope factor which approaches infinity as 1+0.5/x+...,
equals k times (log x + 0.5/x+ O(1/x^^2)+...)
evaluated at 1 and infinity,
and is log infinite.

You can fill the bucket with paint, but you cannot paint it. Guess your insight was wrong back then.

Perhaps you should change the essay.

With warmest regards,

Richard aka yanniru aka dummerdick

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