Question
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consider the curve for . Find the arc length of the curve.

Ask by Chavez Rodriguez. in the United States
Jan 25,2025

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Answer

The arc length of the curve from to is units.

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Mind Expander

To find the arc length of the curve given by from to , we can use the arc length formula:
First, we’ll compute the derivative :
Now, let’s find :
Simplifying inside the square root,
Therefore,
This integral can be computed using numerical methods or a calculator for a more precise result, which would give the arc length value.
Upon evaluation, the approximate arc length of the curve from to is found to be around .

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