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Lagrange Multipliers ● Example 3

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, Vectors
Etremizing f(x, y)=1/ 3 (y² (x - 1) + x² (x + 4)) with the constraint condition: g(x,y):= 0.1 x²+ y² = 1. CAS and ggB solutions are compared. The critical points of the corresponding Lagrangian, its global maximum and minimum are determined.

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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