Consider x=(e^t)+(e^-t), y=5-2t, 0<t<3. Find the length of the curve.

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- Mar 9th 2009, 04:04 PMLink88Length of a Curve
Consider x=(e^t)+(e^-t), y=5-2t, 0<t<3. Find the length of the curve.

- Mar 9th 2009, 04:41 PMMentia
Recall the arc length integral:

Where,

So we have:

.

Then,

.

So,

.

Then,

Arc Length = - Mar 9th 2009, 05:00 PMLink88
ok i get it but how did you get the 2cosht from (e^t)-(e^-t)?

- Mar 9th 2009, 05:10 PMMentia
Check out hyperbolic cosine from wikipedia: Hyperbolic function - Wikipedia, the free encyclopedia