An ellipse has parametric equations x cos t, y 1 2 3 sin t Show that the length of its circumference is given by This integral cannot be evaluated in terms of elementary functions Use the trapezium rule with interval halving to evaluate it to 6dp p 2 25 (3 sint)dt 0...

x cost y3 sint h 4 16 Th 2931 146 2934 918 2934 92 ...

An ellipse has parametric equations x = cos t, y = 1/2 3 sin t. Show that

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An ellipse has parametric equations x = cos t, y = 1/2 √3 sin t. Show that the length of its circumference is given by

p/2 25" (3 + sint)dt 0

This integral cannot be evaluated in terms of elementary functions. Use the trapezium rule with interval-halving to evaluate it to 6dp.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 15, 2024 01:00 AM

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An ellipse has parametric equations x = cos t, y = 1/2 3 sin t. Show that

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p/2 25" (3 + sint)dt 0

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x cost y3 sint h 4 16 Th 2931 146 2934 918 2934 92...View the full answer

Modern Engineering Mathematics

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