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Find the absolute maximum and minimum of the function f(x,y,z)=x^2 −2x+y^2 −4y+z^2 +4z on the ball...

Find the absolute maximum and minimum of the function

f(x,y,z)=x^2 −2x+y^2 −4y+z^2 +4z

on the ball of radius 4 centered at the origin (i.e., x^2 + y^2 + z^2 ≤ 16). Lay out your work neatly and clearly show your procedure.

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