Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y) = x² + y²

Question

Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum.
f(x,y) = x² + y²; 4x + 3y = 75
Find the Lagrange function F(x,y,λ).
F(x,y,λ)=
Find the partial derivatives Fx, Fy, and Fλ.
Fx=
Fy=
Fλ=
There is a maximum minimum value of located at (x, y) =

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