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# Are length of an ellipse The length of an ellipse with

ISBN: 9780321570567 2

## Solution for problem 49E Chapter 7.6

Calculus: Early Transcendentals | 1st Edition

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Problem 49E

Arc length of an ellipse  The length of an ellipse with axes of length 2a and 2b is

$$\int_{0}^{2 \pi} \sqrt{a^{2} \cos ^{2} t+b^{2} \sin ^{2} t} d t$$ .

Use numerical integration and experiment with different values of n to approximate the length of an ellipse with a=4 and b=8.

Step-by-Step Solution:

Problem 49EArc length of an ellipse The length of an ellipse with axes of length 2a and 2b is Use numerical integration and experiment with different values of n to approximate the length of an ellipse with a =4 and b = 8.SolutionStep 1In this problem we have to find the arc length of the ellipse, we have to use numerical integration and experiment with different values of n to approximate the length of an ellipse with a =4 and b = 8Consider We perform Simpson’s method for approximation, using , n = 6 and n = 8.

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Are length of an ellipse The length of an ellipse with