Finding length of the curve, did i mess up simpifying?

Thread starter mr_coffee
Start date Oct 4, 2005
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Curve Length

AI Thread Summary

The discussion revolves around finding the length of a curve, where the original poster is confused about a discrepancy between their answer and the book's. They initially question their simplification of (2t)² and later realize it equals 4t². The poster then presents their work, which includes the expression sqrt(4t² + 25t^8), and inquires if it simplifies to 10t^5. The conversation highlights the importance of accurate simplification in calculus problems.

Oct 4, 2005

mr_coffee

Hello everyone, I'm suppose to find the length of the curve. But the book got a different answer, anyone see my problem? Here is the picture and my work:
http://img216.imageshack.us/img216/7900/urnt8jd.jpg
THanks.

Last edited by a moderator: May 2, 2017

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Oct 4, 2005

Homework Helper

Doesn't (2t)² = 4t²?

Oct 4, 2005

mr_coffee

ahh ur right my bad..
so i have sqrt(4t^2 + 25t^8)
Will that simpify too:
10t^5?

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