Show that the stationary paths of the functional 1 S [x, y] = S²dt [/ - - [}{ (œÿ − yà) — \√ಠ+ ÿj² are the circles (x − A₁)² + (y — A2)² = λ², where A₁ and A2 are constants. -

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Show that the stationary paths of the functional
1
S [x, y] =
S²dt [/
-
-
[}{ (œÿ − yà) — \√ಠ+ ÿj²
are the circles (x − A₁)² + (y — A2)² = λ², where A₁ and A2 are constants.
-
Transcribed Image Text:Show that the stationary paths of the functional 1 S [x, y] = S²dt [/ - - [}{ (œÿ − yà) — \√ಠ+ ÿj² are the circles (x − A₁)² + (y — A2)² = λ², where A₁ and A2 are constants. -
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