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The evolute of a smooth parametric curve C in 2-space is the curve formed from the centers of curvature of C. The accompanying figure shows the ellipse
(a) Which points on the evolute correspond to
(b) In what direction is the evolute traced as t increases from
(c) What does the evolute of a circle look like? Explain your reasoning.
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Calculus Early Transcendentals, Binder Ready Version
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