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Use Simpson’s Rule with n = 6 to estimate the length of the curve.

0 votes

Use Simpson’s Rule with n = 6 to estimate the length of the curve .

asked Feb 2, 2015 in CALCULUS by anonymous

2 Answers

0 votes
Step 1:

The parametric equations of the curve are .

Length of the curve with parametric equations is .

Differentiate with respect to .

Differentiate with respect to .

Substitute , and limits of in formula.

Simpsons rule:

Let be continuous on , let image be an even integer,

The Simpsons Rule for approximating   is given by

,

where image and

Here image.

answered Feb 8, 2015 by cameron Mentor
0 votes

Continued:

Step 2:

image

image

image

image

image

Substitute above values in Simpsons formula.

image

image

Solution:

Arc length of the curve is image.

 

answered Feb 8, 2015 by cameron Mentor

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