a. Find the linear approximation for the following function at the given point. b. Use part (a) to estimate the given function value. f(x,y) = − 4x² + 4y²; (2,-3); estimate f(1.9, -3.05) a. L(x,y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 43E
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a. Find the linear approximation for the following function at the given point.
b. Use part (a) to estimate the given function value.
f(x,y) = − 4x² + 4y²; (2,-3); estimate f(1.9, -3.05)
a. L(x,y) =
Transcribed Image Text:a. Find the linear approximation for the following function at the given point. b. Use part (a) to estimate the given function value. f(x,y) = − 4x² + 4y²; (2,-3); estimate f(1.9, -3.05) a. L(x,y) =
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