Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (6, 6, 7) and use it to approximate the number 6.022 + 5.992 + 6.972 . (round your answer to five decimal places.)

The linear approximation to about a point is

We have

so that near (6, 6, 7), we get approximately equal to

Then

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1