Find the linearization of the function f(x, y, z) = Sqrt(x^2+y^2+z^2) at (3, 2, 6) and use it to approximate the number Sqrt((3.02)^2+(1.97^2+5.99^2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Find the linearization of the function f(x, y, z) = Sqrt(x^2+y^2+z^2) at (3, 2, 6) and use it to
approximate the number Sqrt((3.02)^2+(1.97^2+5.99^2).

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