Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 14 - Vector Calculus - 14.6 Surface Integrals - 14.6 Exercises - Page 1123: 13

Answer

$x =v \cos u; y=v \sin u$ and $z=v$

Work Step by Step

We are given the equation of a cone as: $z^2=x^2+y^2 $ and $2 \lt z \lt 8$ The parametric description of a sphere with radius $a$ can be expressed as: $x =v \cos \theta; y=v \sin \theta$ and $z=v$ Suppose that $u=\theta$ Thus, the parametric form of a sphere can be expressed as: $x =v \cos u; y=v \sin u$ and $z=v$ and ; $0 \lt u \lt 2 \pi$
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