Consider the surface that can be parameterized as x (u, v) y (u, v) z (u, v) for u, v € [0, 2π). = = = U ICOS U COS V cos u sin v

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Consider the surface that can be parameterized as
for u, v € [0, 2π).
x (u, v)
y (u, v)
z (u, v)
=
=
=
U
COS U COS V
cos u sin v
Transcribed Image Text:Consider the surface that can be parameterized as for u, v € [0, 2π). x (u, v) y (u, v) z (u, v) = = = U COS U COS V cos u sin v
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