Find the area of the surface S, where S is the surface given by r(u, v) = (u cos v)i + (u sin v)j + uk, 0 ≤ u ≤ 1, 0 ≤ v ≤ 2π. Hint: The answer is one of the following (a) √√2π (b) 3√√2π (c) 4√2π (d) 5√2π (e) √√3π

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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Find the area of the surface S, where S is the surface given by
r(u, v) = (u cos v)i + (u sin v)j + uk, 0 ≤ u ≤ 1, 0 ≤ v ≤ 2π.
Hint: The answer is one of the following
(a) √√2π (b) 3√√2π (c) 4√2π (d) 5√2π (e) √3π
Transcribed Image Text:Find the area of the surface S, where S is the surface given by r(u, v) = (u cos v)i + (u sin v)j + uk, 0 ≤ u ≤ 1, 0 ≤ v ≤ 2π. Hint: The answer is one of the following (a) √√2π (b) 3√√2π (c) 4√2π (d) 5√2π (e) √3π
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