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Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Let S be a surface parameterized by:

(See the parameterization in the images)

A normal vector to S corresponds to:

(see the answers in the images)

r(u, v) = (u³ + v*)î + (u³ – v³)î+ (2uv)k u e [0, 1), v E [0, 2] con
Transcribed Image Text:r(u, v) = (u³ + v*)î + (u³ – v³)î+ (2uv)k u e [0, 1), v E [0, 2] con
A) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ+ (u²v²)k %3D | B) N = (6u³ + 6v³)î + (-6u³ + 6v³)î+(-18u²v²)k C) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ+ (–12u²v²)k | D) N = (6u³ – 6v³)î + (-6u³ + 6v³)ĵ+ (u²v²)k
Transcribed Image Text:A) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ+ (u²v²)k %3D | B) N = (6u³ + 6v³)î + (-6u³ + 6v³)î+(-18u²v²)k C) N = (6u³ – 6v³)î + (6u³ – 6v³)ĵ+ (–12u²v²)k | D) N = (6u³ – 6v³)î + (-6u³ + 6v³)ĵ+ (u²v²)k
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