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1.Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. 2.Use Lagrange multipliers to find the shortest

1.Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint.

2.Use Lagrange multipliers to find the shortest distance from the given point to the following plane.

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Use Lagrange multipliers to nd the maximum and minimum values of the function subject to the given constraint. (If a value does not exist, enter NONE.) x,y,z}=x2y222; x2+y2+zz=1 (maximum) x (minimum) Use Lagrange multipliers to nd the shortest distance from the given point to the following plane. (5,4,4): X+y-Z= 1 Ex

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