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In: Math

The function ​f(x,y,z)=4x−9y+7z has an absolute maximum value and absolute minimum value subject to the constraint...

The function

​f(x,y,z)=4x−9y+7z

has an absolute maximum value and absolute minimum value subject to the constraint

x^2+y^2+z^2=146.

Use Lagrange multipliers to find these values.

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