Question: Use lagrange multipliers to find the maximum and minimum values of f(x,y,z)=6x-2y+7z (if they exist) subject to the constraint x^2+y^2+z^2=89 Is there a maximum value,

Use lagrange multipliers to find the maximum and minimum values of f(x,y,z)=6x-2y+7z (if they exist) subject to the constraint x^2+y^2+z^2=89

Is there a maximum value, what is it?

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