(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.
