Find the linear approximation of the function below at the indicated point. f (x, y, z) = V x² + y² + 2 f(x, y, z)= at (6, 3, 6) Use the approximation to find the number f(6.03, 3.03, 6.01) ≈ √(6.03)² + (3.03)² + (6.01)² (Round the answer to three decimal places.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the linear approximation of the function below at the indicated point.
f(x, y, z) = √√√x² + y² + x² at (6, 3, 6)
f(x, y, z)=
Use the approximation to find the number
f(6.03, 3.03, 6.01) ≈
(6.03)²+(3.03)² + (6.01)²
. (Round the answer to three decimal places.)
Transcribed Image Text:Find the linear approximation of the function below at the indicated point. f(x, y, z) = √√√x² + y² + x² at (6, 3, 6) f(x, y, z)= Use the approximation to find the number f(6.03, 3.03, 6.01) ≈ (6.03)²+(3.03)² + (6.01)² . (Round the answer to three decimal places.)
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