Show that the ellipse x = a cos t, y = b sin t, a > b
Question:
Show that the ellipse x = a cos t, y = b sin t, a > b > 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.)
Exercise 17
Show that the parabola y = ax2, a ≠ 0, has its largest curvature at its vertex and has no minimum curvature.
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To find the curvature of the ellipse we first need to find the second derivative of the parametri...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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