Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 10 - Parametric And Polar Curves; Conic Sections - 10.1 Parametric Equations; Tangent Lines And Arc Length For Parametric Curves - Exercises Set 10.1 - Page 701: 13

Answer

$$x=5 \cos t; y=-5 \sin t; 0 \leq t \leq 2\pi$$

Work Step by Step

When $t=0$ , then the circle is traced clockwise by a point that originates at $(5,0)$ and it completes one full circle of revolution when $t=2 \pi$ . So, parametric equations for the curve $x^2+y^2=5$ are: $$x=5 \cos t; y=-5 \sin t; 0 \leq t \leq 2\pi$$
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