2.Determine all stationary points of the function f(x, y) = x^2+y^2 that satisfy the constraint 5x^2+ 5y^2− 8xy − 18 = 0

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answerhappygod
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2.Determine all stationary points of the function f(x, y) = x^2+y^2 that satisfy the constraint 5x^2+ 5y^2− 8xy − 18 = 0

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2.Determine all stationary points of the function f(x, y) = x^2+y^2 that satisfy the constraint 5x^2+ 5y^2− 8xy − 18 = 0! Investigate by geometric means which of the stationary points are local minima, local maxima or saddle points!
Note: The constraint describes an ellipse that is created from an ellipse in an axis-parallel center position with the semi-axes a = 3√2 and b = √2 by rotating 45 degrees counterclockwise around the origin (use Lagrange Methode)
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