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Assume that the second partial derivatives of the surface X = X(0, 4) are given by Xạ0 = 0e, – 2pez, Xog = 0, X4 = eg + 2pe3 And has the unit normal vector N = sinfe, + cos o e3. Then the second fundamental form coefficients L, M, and N of the surface are given by L-O sin - 20 cos . M-0, N- sim o+ 20 cos L= 0 sin 0, M = 0, N= sin 0 O The above answer The above a ns wer L= 0 sin 0, M - 0, N= 20 cos o 1- 0 sin 0, M - 0, N- sin o + 20 cos O The above answer The above a ns wer

Assume that the second partial derivatives of the surface X = X(0, 4) are given by Xạ0 = 0e, – 2pez, Xog = 0, X4 = eg + 2pe3 And has the unit normal vector N = sinfe, + cos o e3. Then the second fundamental form coefficients L, M, and N of the surface are given by L-O sin - 20 cos . M-0, N- sim o+ 20 cos L= 0 sin 0, M = 0, N= sin 0 O The above answer The above a ns wer L= 0 sin 0, M - 0, N= 20 cos o 1- 0 sin 0, M - 0, N- sin o + 20 cos O The above answer The above a ns wer

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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Assume that the second partial derivatives of the surface X = x(0, 4) are given by Xo4 = 0, X4 - e, + 2pes X00 = 0e, – 2pe,, And has the unit normal vector N = sin0e, + cos o ez. Then the second fundamental form coefficients L, M, and N of the surface are given by L-O sin -2o cos . M-0,N- sin ở + 20 cos o L = 0 sin 0, M = 0, N = sin 0 The above answer The above a nswer L= 0 sin 0, M = 0, N - 20 cos o I. - O sin 0. M- 0. N- sin 0 + 20 cos o The a bove ans wer The above a ns wer
Transcribed Image Text:Assume that the second partial derivatives of the surface X = x(0, 4) are given by Xo4 = 0, X4 - e, + 2pes X00 = 0e, – 2pe,, And has the unit normal vector N = sin0e, + cos o ez. Then the second fundamental form coefficients L, M, and N of the surface are given by L-O sin -2o cos . M-0,N- sin ở + 20 cos o L = 0 sin 0, M = 0, N = sin 0 The above answer The above a nswer L= 0 sin 0, M = 0, N - 20 cos o I. - O sin 0. M- 0. N- sin 0 + 20 cos o The a bove ans wer The above a ns wer
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