Find a parameterization of the cap cut from the sphere x² + y² + z² = 16 by the cone z= Choose the correct parameterization below. A. B. C. O D. T 6' r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤ 0≤v≤2π π 6' r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤ 0≤V≤2π π r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤2, 0≤v≤ 6 3 2 √ = √x² + y². π r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤2π, 0≤v≤ 6
Find a parameterization of the cap cut from the sphere x² + y² + z² = 16 by the cone z= Choose the correct parameterization below. A. B. C. O D. T 6' r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤ 0≤v≤2π π 6' r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤ 0≤V≤2π π r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤2, 0≤v≤ 6 3 2 √ = √x² + y². π r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤2π, 0≤v≤ 6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Find a parameterization of the cap cut from the sphere x² + y² + z² = 16 by the cone z = -
Choose the correct parameterization below.
A.
O B.
O C.
O D.
π
r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤. 0≤v≤ 2π
6
T
6'
r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤ 0≤V≤2π
BCO
π
r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤ 2, 0≤v≤-
6
त
√√²/3= √x² + y²
r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤ 2, 0≤v≤ 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0d43843-2391-42d2-95ee-76bca6d7f97c%2F03ab97f8-b862-406c-b64f-492ec22a576e%2F0yzt5_processed.png&w=3840&q=75)
Transcribed Image Text:Find a parameterization of the cap cut from the sphere x² + y² + z² = 16 by the cone z = -
Choose the correct parameterization below.
A.
O B.
O C.
O D.
π
r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤. 0≤v≤ 2π
6
T
6'
r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤ 0≤V≤2π
BCO
π
r(u,v) = (4 sin v sin u)i + (4 cos v cos u)j + (4 cos v)k, 0≤u≤ 2, 0≤v≤-
6
त
√√²/3= √x² + y²
r(u,v) = (4 sin v cos u)i + (4 sin v sin u)j + (4 cos v)k, 0≤u≤ 2, 0≤v≤ 6
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