Question
consider the curve
for
. Find the arc length of the curve.
Ask by Chavez Rodriguez. in the United States
Jan 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The arc length of the curve
from
to
is
units.
Solution

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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
.