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Find the surface area of the torus with parametric equations: r(u, v) = ((4+ cos v) cosu, (4+cos v)sinu, sin v) 0≤u≤2T, 0≤v≤2n Some Helpful Formulas: S3* sin ᎾdᎾ = , " cosᎾdᎾ =0 sin² 0d0 =[* cos² 0d0 = T [sin' ode=-cos+cos³0+C [cos³0d0 = sin 0 -- sin³ 0+ C

Find the surface area of the torus with parametric equations: r(u, v) = ((4+ cos v) cosu, (4+cos v)sinu, sin v) 0≤u≤2T, 0≤v≤2n Some Helpful Formulas: S3* sin ᎾdᎾ = , " cosᎾdᎾ =0 sin² 0d0 =[* cos² 0d0 = T [sin' ode=-cos+cos³0+C [cos³0d0 = sin 0 -- sin³ 0+ C

Advanced Engineering Mathematics
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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Find the surface area of the torus with parametric equations: r(u, v) = ((4+ cos v) cosu, (4+cosv)sinu, sin v) 0≤u≤2T, 0≤v≤2n Some Helpful Formulas: sin Odo= cos 0d0 =0 [₁ª sin² 0d0 =[°¸˜ cos² 0d0 = π [sin' ode=- cos 0+cos³0+C [cos³ ode=sin -- -sin 0+ C 3
Transcribed Image Text:Find the surface area of the torus with parametric equations: r(u, v) = ((4+ cos v) cosu, (4+cosv)sinu, sin v) 0≤u≤2T, 0≤v≤2n Some Helpful Formulas: sin Odo= cos 0d0 =0 [₁ª sin² 0d0 =[°¸˜ cos² 0d0 = π [sin' ode=- cos 0+cos³0+C [cos³ ode=sin -- -sin 0+ C 3
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