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Use the Method of Lagrange Multipliers to Find Points on the Surface

Question 229

Essay

Use the method of Lagrange multipliers to find points on the surface of x2+y2+z2=3x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 3 where the function f(x,y,z)=x+y+zf ( x , y , z ) = x + y + z has
(a) a minimum
(b) a maximum.

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