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October 5th, 2008, 09:14 AM   #1
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Length of the Asteroid

Find the length of the asteroid x^(2/3) + y ^(2/3) = 1.
How can I do this without limits? Using the arc length formula, I came up with (3/2) x ^ (2/3) after integrating. Now what?
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October 5th, 2008, 09:41 AM   #2
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Re: Length of the Asteroid

Solving for y we get:



Find the derivative, square it, add 1 and take the square root.

And it whittles down to

BTW, it is an 'astroid'. No e
 
October 5th, 2008, 11:28 AM   #3
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Re: Length of the Asteroid

Got it. Thanks! We never went over that in class, and it just appeared on our take-home.

And thanks for the correction. The professor tends to mix up words. He once went through a lecture with the word "anti-semitic" on the board instead of "anti-symmetric".
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