Calculus (3rd Edition)

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

Chapter 13 - Vector Geometry - 13.7 Cylindrical and Spherical Coordinates - Exercises - Page 699: 3

Answer

$(0, \pi/5,1/2) \Longrightarrow (0, 0,1/2) $.

Work Step by Step

We have $$ r=0, \quad \theta =\pi/5, \quad z=1/2.$$ Now, we have $$ x=r\cos \theta=0,$$ $$ y=r\sin \theta=0,$$ $$ z=1/2.$$ So, $(0, \pi/5,1/2) \Longrightarrow (0, 0,1/2) $.
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