Find a parametric representation for the surface. the part of the sphere x² + y² + z² 2 = 64 that lies above the cone z = x² + y² (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) (8 sin (u) cos(v), 8 sin(u) sin(v),8 cos(u)) (where z > ✓x² + y2)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
Question
Find a parametric representation for the surface.
the part of the sphere x² + y² + z²
2
= 64 that lies above the cone z =
x² + y²
(Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.)
(8 sin (u) cos(v), 8 sin(u) sin(v),8 cos(u))
(where z > ✓x² + y2)
Transcribed Image Text:Find a parametric representation for the surface. the part of the sphere x² + y² + z² 2 = 64 that lies above the cone z = x² + y² (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) (8 sin (u) cos(v), 8 sin(u) sin(v),8 cos(u)) (where z > ✓x² + y2)
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