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| Let ƒ(x, y) = 4x² + 7xy + 4y² + 7x − 7y + 4. Find the linearization L(x, y) of f(x, y) at the point (-1,2). L(x, y) = Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ≈ L(x, y) over the rectangle |x + 1| ≤ 0.2, ly - 2| ≤ 0.2. |E| ≤ 899 =

| Let ƒ(x, y) = 4x² + 7xy + 4y² + 7x − 7y + 4. Find the linearization L(x, y) of f(x, y) at the point (-1,2). L(x, y) = Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ≈ L(x, y) over the rectangle |x + 1| ≤ 0.2, ly - 2| ≤ 0.2. |E| ≤ 899 =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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Let ƒ(x, y) = 4x² + 7xy + 4y² + 7x - 7y + 4. Find the linearization L(x, y) of f(x, y) at the point (-1,2). L(x, y) = Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ≈ L(x, y) over the rectangle |x + 1| ≤ 0.2, │y − 2| ≤ 0.2. - |E| ≤ JU JUU
Transcribed Image Text:Let ƒ(x, y) = 4x² + 7xy + 4y² + 7x - 7y + 4. Find the linearization L(x, y) of f(x, y) at the point (-1,2). L(x, y) = Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ≈ L(x, y) over the rectangle |x + 1| ≤ 0.2, │y − 2| ≤ 0.2. - |E| ≤ JU JUU
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