Consider the surface S given by: S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1] whose graphic representation is: 11 A normal vector to S, oriented as shown in the figure, corresponds to: A) n = (12uv, -6v², 3v³ - 2u²) B) n = (v, 2u, 0) C) n = (u, 3v², 6v) D) n = (-12uv, 6v², 2u² – 3v³)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the surface S given by:
S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1]
whose graphic representation is:
11
A normal vector to S, oriented as shown in the figure, corresponds to:
A) n = (12uv, -6v², 3v³ - 2u²)
B) n = (v, 2u, 0)
C) n = (u, 3v², 6v)
D) n = (-12uv, 6v², 2u² — 3v³)
Transcribed Image Text:Consider the surface S given by: S: r(u, v) = (uv, u² + v³, 3v²), u € [0, 2], v € [0, 1] whose graphic representation is: 11 A normal vector to S, oriented as shown in the figure, corresponds to: A) n = (12uv, -6v², 3v³ - 2u²) B) n = (v, 2u, 0) C) n = (u, 3v², 6v) D) n = (-12uv, 6v², 2u² — 3v³)
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