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Graph the curve and find its length.

0 votes

Graph the curve and find its length.

asked Feb 2, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

The functions are and , .

Consider .

Apply derivative on each side with respect to .

Consider .

Apply derivative on each side with respect to .

Step 2:

Find the length of the curve.

Theorem :

If a curve is described by the parametric equations and , then the length of the curve is

The length of the curve is .

Step 3:

Graph :

Graph the curve and .

Solution :

The length of the curve is .

Graph of the curve :

answered Feb 2, 2015 by joseph Apprentice

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