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Use Lagrange multipliers to find the minimum value of f ( x , y , z...

Use Lagrange multipliers to find the minimum value of f ( x , y , z ) = 2 x 2 + y 2 + 3 z 2 subject to the constraint 2 x − 3 y − 4 z = 49. The minimum value of f ( x , y ) subject to 2 x − 3 y − 4 z = 49 is

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