Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 13 - Section 13.1 - Vector Functions and Space Curves - 13.1 Exercises - Page 854: 21

Answer

$\bf{Graph{(II)}}$

Work Step by Step

The parametric equations of a circle having radius $r$ are; $x=r \cos t ; y =r \sin t$ Here, we have $x= t \cos t , z=t \sin t , y=t$ This shows a circular spiral around the y-axis as a helix away from the xz plane with an increasing radius when $t$ decreases. This matches with $\bf{Graph{(II)}}$.
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