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Show that dx ds 2 + 2y dx dy ds ds + dy ds 2 = 1.

Show that dx ds 2 + 2y dx dy ds ds + dy ds 2 = 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Let Y be a real constant with ² ‡ 1 for the parametric functional S[x, y] = [ª dt [√ï² + 2y àÿ + ÿ² − \(xÿj − ây)], \>0, [V2 – – with the boundary conditions x(0) = y(0) =0, x(1) = R> 0 and y(1) = 0. Show that dx ds 2 + 2y dx dy ds ds + dy ds 2 = = 1.
Transcribed Image Text:Let Y be a real constant with ² ‡ 1 for the parametric functional S[x, y] = [ª dt [√ï² + 2y àÿ + ÿ² − \(xÿj − ây)], \>0, [V2 – – with the boundary conditions x(0) = y(0) =0, x(1) = R> 0 and y(1) = 0. Show that dx ds 2 + 2y dx dy ds ds + dy ds 2 = = 1.
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