Find a parameterization of the cap cut from the sphere x² + y² +2²=25 by the cone z = √√x² + y². Choose the correct parameterization below. O A. r(u,v) = (5 sin v sin u)i + (5 cos v cos u)j + (5 cos v)k, Osus, 0≤vs 2n O B. A r(u,v) = (5 sin v cos u)i + (5 sin v sin u)j + (5 cos v)k, Osus 2x, Osvs O C. ग r(u,v) = (5 sin v cos u)i + (5 sin v sin u)j + (5 cos v)k, Osus4,0 0sv≤2* O D. A r(u, v) = (5 sin v sin u)i + (5 cos v cos u)j + (5 cos v)k, 0≤u≤2, 0≤vs-

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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Find a parameterization of the cap cut from the sphere x² + y² +2²= 25 by the cone z = √√x² + y².
Choose the correct parameterization below.
A.
r(u,v) = (5 sin v sin u)i + (5 cos v cos u)j + (5 cos v)k, 0sus , 0≤v≤2π
OB.
r(u,v) = (5 sin v cos u)i + (5 sin v sin u)j + (5 cos v)k, 0≤u≤2, 0≤vs
О с.
r(u,v) = (5 sin v cos u)i + (5 sin v sin u)j + (5 cos v)k, Osus4, 0≤vs2x
O D.
r(u, v) = (5 sin v sin u)i + (5 cos v cos u)j + (5 cos v)k, Osus2, 0≤vs
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Transcribed Image Text:O Find a parameterization of the cap cut from the sphere x² + y² +2²= 25 by the cone z = √√x² + y². Choose the correct parameterization below. A. r(u,v) = (5 sin v sin u)i + (5 cos v cos u)j + (5 cos v)k, 0sus , 0≤v≤2π OB. r(u,v) = (5 sin v cos u)i + (5 sin v sin u)j + (5 cos v)k, 0≤u≤2, 0≤vs О с. r(u,v) = (5 sin v cos u)i + (5 sin v sin u)j + (5 cos v)k, Osus4, 0≤vs2x O D. r(u, v) = (5 sin v sin u)i + (5 cos v cos u)j + (5 cos v)k, Osus2, 0≤vs W S X E O C 4 R F % 5 A V FS G A 6 & 7 H F7 Pr N
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