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Find the arc length of the graph of the function over the indicated interval.

0 votes

Find the arc length of the graph of the function over the indicated interval.

asked Feb 12, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function is image.

Apply derivative on each side with respect to .

image

Apply power rule image.

image

image

Find the length of the curve from 0 to 1.

Step 2:

The formula for arc length is

Substitute image, image and image.

The arc length is

image

Apply power rule image.

image

image

image

The arc length is image units.

Solution:

The arc length is image units.

answered Feb 13, 2015 by Sammi Mentor

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