The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two c
Posted: Wed Jul 06, 2022 12:31 pm
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