Show that the ellipse x = a cos t, y = b sin t, a > 0, has
Chapter 12, Problem 18E(choose chapter or problem)
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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