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: 19


Circle in the xz-plane of radius $1$ centered at $(0,0,4)$

Work Step by Step

We put $$ x=\sin t,\quad y=0, \quad z=4+\cos t $$ hence we get $$ x^2+(z-4)^2= \sin^2t+\cos^2t=1.$$ Which is a circle in the xz-plane of raduis $1 $ centered at $(0,0,4)$.
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