Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 14 - Calculus of Vector-Valued Functions - 14.1 Vector-Valued Functions - Exercises - Page 710: 17

Answer

A circle in the xy-plane of radius $9$ centered at the origin.

Work Step by Step

We put $$ x=9\cos t, \quad y=9\sin t $$ hence we get $$ x^2+y^2=81\sin^2t+81\cos^2t=81.$$ Which is a circle in the xy-plane of radius $9$ centered at the origin.
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