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Show that the ellipse x = a cos t, y = b sin t, a > 0, has

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr. ISBN: 9780321717399 65

Solution for problem 18E Chapter 12.4

University Calculus: Early Transcendentals | 2nd Edition

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University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

University Calculus: Early Transcendentals | 2nd Edition

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Problem 18E

Show that the ellipse x = a cos t, y = b sin t, a > 0, has its largest curvature on its major axis and its smallest curvature on its minor axis. (As in Exercise 17, the same is true for any ellipse.)17. Show that the parabola has its largest curvature at its vertex and has no minimum curvature. (Note: Since the curvature of a curve remains the same if the curve is translated or rotated, this result is true for any parabola.)

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9/30/2017 8C17D7B929924F82B216BF8ABBAF1A69.png https://mail.google.com/mail/u/0/#inbox/15ed44902ae5e6e9projector=1 1/1 9/30/2017 93E13662730E4EEE96531A09EFCC16CB.png...

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Chapter 12.4, Problem 18E is Solved
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Textbook: University Calculus: Early Transcendentals
Edition: 2
Author: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.
ISBN: 9780321717399

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Show that the ellipse x = a cos t, y = b sin t, a > 0, has

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