Find the linear approximation of the function f(x, y, z)=√√x² + y² + z² at (9, 6, 2) and use it to approximate the number √9.022 + 5.992 +1.972. (Round your answer to four decimal places.) f(9.02, 5.99, 1.97) =

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
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Find the linear approximation of the function f(x, y, z)=√x² + y² + z² at (9, 6, 2) and use it to approximate the number √9.022 + 5.992 + 1.972. (Round your answer to four decimal places.)
f(9.02, 5.99, 1.97) =
Transcribed Image Text:Find the linear approximation of the function f(x, y, z)=√x² + y² + z² at (9, 6, 2) and use it to approximate the number √9.022 + 5.992 + 1.972. (Round your answer to four decimal places.) f(9.02, 5.99, 1.97) =
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