Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x, y, z). fx(x, y, z) = fy(x, y, z) = ) f₂(x, y, z) = X √x² + y² + z² y √x² + y² +2² Z √2+3² +2 Find the linear approximation of the function f(x, y, z)=√√√x² + y² + z² at (6, 2, 9). f(x, y, z) = 11 X Use the linear approximation to approximate the number 6.022 +1.992 +8.972. (Round your answer to four decimal pla f(6.02, 1.99, 8.97) 10.9852

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Consider the following function.
f(x, y, z)=√√x² + y² + z²
Find fx(x, y, z), fy(x, y, z), and f₂(x, y, z).
fx(x, y, z) =
fy(x, y, z)
=
f₂(x, y, z) =
X
√x² + y² + z²
y
√x² + y² +2²
Z
x² + y² + z²
Find the linear approximation of the function f(x, y, z) = √√√x² + y² + z² at (6, 2, 9).
f(x, y, z) x 11
X
Use the linear approximation to approximate the number 6.022 +1.992 +8.972. (Round your answer to four decimal plac
f(6.02, 1.99, 8.97) * 10.9852
Transcribed Image Text:Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x, y, z). fx(x, y, z) = fy(x, y, z) = f₂(x, y, z) = X √x² + y² + z² y √x² + y² +2² Z x² + y² + z² Find the linear approximation of the function f(x, y, z) = √√√x² + y² + z² at (6, 2, 9). f(x, y, z) x 11 X Use the linear approximation to approximate the number 6.022 +1.992 +8.972. (Round your answer to four decimal plac f(6.02, 1.99, 8.97) * 10.9852
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