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A torus of radius 3 (and cross-sectional radius 1) can be represented parametrically by the function r : D → R³: r(0, 6) = ((3 + cos 6) cos 0, (3 + cos 6) sin 0, sin 6) where D is the rectangle given by 0 ≤ 0 ≤ 2π, 0 ≤ ¢ ≤ 2π. The surface area of the torus is

A torus of radius 3 (and cross-sectional radius 1) can be represented parametrically by the function r : D → R³: r(0, 6) = ((3 + cos 6) cos 0, (3 + cos 6) sin 0, sin 6) where D is the rectangle given by 0 ≤ 0 ≤ 2π, 0 ≤ ¢ ≤ 2π. The surface area of the torus is

Advanced Engineering Mathematics
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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A torus of radius 3 (and cross-sectional radius 1) can be represented parametrically by the function r :D → R³: r(0, 6) = ((3 + cos ) cos 0, (3 + cos ) sin 0, sin ) where D is the rectangle given by 0 ≤ 0 ≤ 2π, 0 ≤ ≤ 2π. The surface area of the torus is
Transcribed Image Text:A torus of radius 3 (and cross-sectional radius 1) can be represented parametrically by the function r :D → R³: r(0, 6) = ((3 + cos ) cos 0, (3 + cos ) sin 0, sin ) where D is the rectangle given by 0 ≤ 0 ≤ 2π, 0 ≤ ≤ 2π. The surface area of the torus is
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