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-
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-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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
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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
%
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Pr
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