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 gradientf=lambdagradientg+mugradien th, g(x, y,z)=0, and h(x, y,z)=0, where lambda and mu (the lagrange multipliers) are real numbers. use this result to find the maximum and minimum values of f(x, y,z)=xsquared+ysquared+zsquared on the intersection between the cone zsquared=4xsquared+4ysquared and the plane 2x+4z=2.