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Lagrange Multipliers ● Example 6

Author:
Roman Chijner
Topic:
Vectors 2D (Two-Dimensional), Vectors 3D (Three-Dimensional), Algebra, Calculus, Constructions, Cylinder, Derivative, Differential Calculus, Differential Equation, Equations, Optimization Problems, Geometry, Intersection, Linear Equations, Linear Programming or Linear Optimization, Mathematics, Parametric Curves, Geometric Transformations, Vectors
Extremizing f(x, y)=0.00001*exp(-x² - 2y²) (x² + 3y²) with the constraint condition: g(x,y):= x² + y + x y - 0.8 = 0. CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.
Image
Image

Curve of Intersection of two surfaces f(x,y) and g(x,y)

 Curve of Intersection of two surfaces f(x,y) and g(x,y)
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