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Explain what geometric problem. As there local or is solved fiese ond global constraint. d

Explain what geometric problem. As there local or is solved fiese ond global constraint. d

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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Date: /20 Day A constrained extremisation Problem is expressed as longronge-multiplier problem with objective functional I [x+x] = [[√√₂² ² + y² + 3 ² _k (t) (x² + y² +3²_R²³)]d² where x = da etc. and integeral has appropriate fixed limitat with fixed values of X₂ Y and Z at the endpoints. a). Explain what geometric problem is solved here and local or global constraint. for Variable x As there b)- show that ewler-longronge eq. takes the form, d d at (7) = -ax Also find Euler - Longronze ey's for y and 3 land write them in vector notation for vector X = (x, y, z). Give Jemeterical interpretation chat they tell you. C). show that Beltrami-identity does not help you. to solve the equation- d). Let u be an arbitrary increasing fn of t. show that ƒ [√xx²)³+ (y^)³+ (3³) ³ ]du= [[] x² + y + 3³ ] du where. x'=dx, Explain what this du signifies geometrically and why this means that one can assumes without loss of generality, that 11 = R along solution of the Euler-long range equations -
Transcribed Image Text:Date: /20 Day A constrained extremisation Problem is expressed as longronge-multiplier problem with objective functional I [x+x] = [[√√₂² ² + y² + 3 ² _k (t) (x² + y² +3²_R²³)]d² where x = da etc. and integeral has appropriate fixed limitat with fixed values of X₂ Y and Z at the endpoints. a). Explain what geometric problem is solved here and local or global constraint. for Variable x As there b)- show that ewler-longronge eq. takes the form, d d at (7) = -ax Also find Euler - Longronze ey's for y and 3 land write them in vector notation for vector X = (x, y, z). Give Jemeterical interpretation chat they tell you. C). show that Beltrami-identity does not help you. to solve the equation- d). Let u be an arbitrary increasing fn of t. show that ƒ [√xx²)³+ (y^)³+ (3³) ³ ]du= [[] x² + y + 3³ ] du where. x'=dx, Explain what this du signifies geometrically and why this means that one can assumes without loss of generality, that 11 = R along solution of the Euler-long range equations -
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