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CalculusCalculus10th Edition

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Chapter 10.2, Problem 59E
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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem

Graphing a Plane Curve In Exercises 59–66, use a graphing utility to graph the curve represented by the parametric equations. Indicate the orientation of the curve. Identify any points at which the curve is not smooth.

Prolate cycloid : x = θ − 3 2 sin θ , y = 1 − 3 2 cos θ

To determine

To graph: The graph of the parametric equations using a graphing utility indicating the orientation of the curve and the smoothness

Explanation

Given:

Parametric equation.

Graph:

Interpretation:

x=θ−32sinθ,y=1−32cosθ

Differentiating x and y we have

x'=−32cosθ,y'=32

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