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A parametrization of all the points on the sphere a + y² + z? = 1 that are such that y > 0 is given by r(u, v) = (cos u sin v, sin u sin v, cos v), 0

A parametrization of all the points on the sphere a + y² + z? = 1 that are such that y > 0 is given by r(u, v) = (cos u sin v, sin u sin v, cos v), 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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A parametrization of all the points on the sphere a² + y? + z² = 1 that are such that y > 0 is given by r(u, v) = (cos u sin v, sin u sin v, cos v), 0 <u < a/2,0 < v a r(u, v) = (cos u sin v, sin u sin v, cos v), %3D 0 <u < a/2,0 < vS a/2 None of these answers r(u, v) = (cos u sin v, sin u sin v, cos v), 0 <us1,0 < v < a/2 r(u, v) = (cos u sin v, sin u sin v, cos v), %3D 0 <u<n,0 < v < a r(u, v) = (cos u sin v, sin u sin v, cos v), -a/2 < u < a/2,0 < v < a
Transcribed Image Text:A parametrization of all the points on the sphere a² + y? + z² = 1 that are such that y > 0 is given by r(u, v) = (cos u sin v, sin u sin v, cos v), 0 <u < a/2,0 < v a r(u, v) = (cos u sin v, sin u sin v, cos v), %3D 0 <u < a/2,0 < vS a/2 None of these answers r(u, v) = (cos u sin v, sin u sin v, cos v), 0 <us1,0 < v < a/2 r(u, v) = (cos u sin v, sin u sin v, cos v), %3D 0 <u<n,0 < v < a r(u, v) = (cos u sin v, sin u sin v, cos v), -a/2 < u < a/2,0 < v < a
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