The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two c

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The Equations That Must Be Solved For Maximum Or Minimum Values Of A Differentiable Function W F X Y Z Subject To Two C 1 (41.63 KiB) Viewed 13 times

The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two constraints g(x,y,z) = 0 and h(x,y,z) = 0, where g and h are also differentiable, are Vf=Vg + μVh, g(x,y,z) = 0, and h(x,y,z) = 0, where > and μ (the Lagrange multipliers) are real numbers. Use this result to find the point closest to the origin in the line of intersection L of the planes x + 2z = 7 and x + y = 5. The point closest to the origin is C