Find the minimum of the function

Reference no: EM13867023

(a) Find the minimum of the function

f(x,y,z)=(x-2)2 +(y-1)2 +z2

subject to the constraint x2 + y2 + z2 = 1, using the method of Lagrange multipliers.

3. (a) Find the minimum of the function f(x,y,z) = (x — 2)2 + (y — 1)2 + z2 subject to the constraint x2 + y2 + z2 _ 1, using the method of Lagrange multipliers. (b) Give a geometric interpretation of this problem.

Reference no: EM13867023

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