Find the linear approximation of the function below at the indicated point. f(x, y) = √√√41 - x² - 4y² at (4,2) f(x, y) = Use this approximation to find f(3.93, 1.94). (Round your answer to three decimal places.) f(3.93, 1.94)
Find the linear approximation of the function below at the indicated point. f(x, y) = √√√41 - x² - 4y² at (4,2) f(x, y) = Use this approximation to find f(3.93, 1.94). (Round your answer to three decimal places.) f(3.93, 1.94)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find the linear approximation of the function below at the indicated point.
\[ f(x, y) = \sqrt{41 - x^2 - 4y^2} \text{ at } (4, 2) \]
\[ f(x, y) \approx \]
Use this approximation to find \( f(3.93, 1.94) \). (Round your answer to three decimal places.)
\[ f(3.93, 1.94) \approx \]
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Transcribed Image Text:Find the linear approximation of the function below at the indicated point.
\[ f(x, y) = \sqrt{41 - x^2 - 4y^2} \text{ at } (4, 2) \]
\[ f(x, y) \approx \]
Use this approximation to find \( f(3.93, 1.94) \). (Round your answer to three decimal places.)
\[ f(3.93, 1.94) \approx \]
Need Help? [Read It] [Watch It]
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