be a real constant with y² 1 for the parametric functional Let dt S[x, y)] = [ª åt [√ä² + 2y àý + y² – A(xÿ – /" -xy)], x>0, + − — xy) with the boundary conditions x(0) = y(0) = 0, x(1) = R > 0 and y(1) = 0. Show that the stationary paths of this parametric functional are given by the solutions of the equations dx ds dy +7 = ds 2(cy) and y + dx dy ds ds = 2(d+ λx), where c and d are constants and ct s(t) = √* dt√√x² + 2y ȧý + ý².
be a real constant with y² 1 for the parametric functional Let dt S[x, y)] = [ª åt [√ä² + 2y àý + y² – A(xÿ – /" -xy)], x>0, + − — xy) with the boundary conditions x(0) = y(0) = 0, x(1) = R > 0 and y(1) = 0. Show that the stationary paths of this parametric functional are given by the solutions of the equations dx ds dy +7 = ds 2(cy) and y + dx dy ds ds = 2(d+ λx), where c and d are constants and ct s(t) = √* dt√√x² + 2y ȧý + ý².
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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