6) Let S be a surface parameterized by: r(u, v) = (u³ + v*)î + (u³ – v³)ĵ+ (2uv)k con u € [0,1], v E [0, 2] A normal vector to S corresponds to: A) N = (6u³ + 6v³)î + (-6u³ + 6v³)ô+ (-18u²v²)k B) N = (6u³ – bv³)î + (6u³ – 6v³)ĵ + (-12u²v²)k C) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ + (u?v²)k D) N = (6u³ – bv³)î + (-6u³ + 6v³)î+ (u²v²)k
6) Let S be a surface parameterized by: r(u, v) = (u³ + v*)î + (u³ – v³)ĵ+ (2uv)k con u € [0,1], v E [0, 2] A normal vector to S corresponds to: A) N = (6u³ + 6v³)î + (-6u³ + 6v³)ô+ (-18u²v²)k B) N = (6u³ – bv³)î + (6u³ – 6v³)ĵ + (-12u²v²)k C) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ + (u?v²)k D) N = (6u³ – bv³)î + (-6u³ + 6v³)î+ (u²v²)k
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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6) Answer the question shown in the image
![6) Let S be a surface parameterized by:
r(u, v) = (u³ + v*)î + (u³ – v³)ĵ+ (2uv)k con u € [0,1], v E [0, 2]
A normal vector to S corresponds to:
A) N = (6u³ + 6v³)î + (-6u³ + 6v³)ô+ (-18u²v²)k
B) N = (6u³ – bv³)î + (6u³ – 6v³)ĵ + (-12u²v²)k
C) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ + (u?v²)k
D) N = (6u³ – bv³)î + (-6u³ + 6v³)î+ (u²v²)k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78b62a69-1aa7-4203-b068-066641a50779%2F9ec022af-24c8-43bc-974b-4d723ed09370%2Fwcfh6xd_processed.png&w=3840&q=75)
Transcribed Image Text:6) Let S be a surface parameterized by:
r(u, v) = (u³ + v*)î + (u³ – v³)ĵ+ (2uv)k con u € [0,1], v E [0, 2]
A normal vector to S corresponds to:
A) N = (6u³ + 6v³)î + (-6u³ + 6v³)ô+ (-18u²v²)k
B) N = (6u³ – bv³)î + (6u³ – 6v³)ĵ + (-12u²v²)k
C) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ + (u?v²)k
D) N = (6u³ – bv³)î + (-6u³ + 6v³)î+ (u²v²)k
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