Find the linear approximation of the function f(x, y, z) =    x2 + y2 + z2  at (6, 2, 9) and use it to approximate the number    6.012 + 1.982 + 8.972 . (Round your answer to five decimal places.) f(6.01, 1.98, 8.97) ≈

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
Question
Find the linear approximation of the function f(x, y, z) = 
  x2 + y2 + z2
 at (6, 2, 9) and use it to approximate the number 
  6.012 + 1.982 + 8.972
. (Round your answer to five decimal places.)


f(6.01, 1.98, 8.97) ≈

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