Let x = 2t^2, y = (3/2)t^2 t = [3,5]

I have to find to length of the curve from these equations using integration, without eliminating parameters.

Then I need to sketch it having eliminated parameters, and finally, find the length using algebra.

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- April 26th 2009, 09:40 PMyuropodCurve Sketching
Let x = 2t^2, y = (3/2)t^2 t = [3,5]

I have to find to length of the curve from these equations using integration, without eliminating parameters.

Then I need to sketch it having eliminated parameters, and finally, find the length using algebra. - April 26th 2009, 11:00 PMredsoxfan325
- April 27th 2009, 01:36 AMyuropod
Thanks a bunch!

- April 27th 2009, 02:37 AMSoroban
Hello, yuropod!

Quote:

Let: .

Find the length of the curve*without eliminating parameters.*

We have: .

. . Then: .

. . Hence: .

Therefore: .

- April 27th 2009, 03:24 AMcurvature