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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 31E
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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
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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