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Use the linear approximation of f (x, y, z) = √−x² + y² + 2xy – 2z² at the point (1, 2, −1) to approximate the value of ƒ (0.8, 2.4, -1.004). Round your answer to three decimal places if necessary.

Use the linear approximation of f (x, y, z) = √−x² + y² + 2xy – 2z² at the point (1, 2, −1) to approximate the value of ƒ (0.8, 2.4, -1.004). Round your answer to three decimal places if necessary.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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the linear approximation of f (x, y, z) = √√√−x² + y² + 2xy – 2z² at the point (1, 2, −1) to approximate the value of f (0.8, 2.4, -1.004). Round your answer to three decimal places if necessary. Use Sorry, that's incorrect. Try again? ƒ(0.8,2.4, 1.004) ~ 3.127
Transcribed Image Text:the linear approximation of f (x, y, z) = √√√−x² + y² + 2xy – 2z² at the point (1, 2, −1) to approximate the value of f (0.8, 2.4, -1.004). Round your answer to three decimal places if necessary. Use Sorry, that's incorrect. Try again? ƒ(0.8,2.4, 1.004) ~ 3.127
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