Find the linearization L(x, y) of the function f(x, y) at P0 Then find an upper bound for the magnitude |E| of the error in the approximation f(x,y) ≈ L(x, y) over the rectangle R.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the linearization L(x, y) of the function f(x, y) at P0 Then find an upper bound for the magnitude |E| of the error in the approximation f(x,y) ≈ L(x, y) over the rectangle R.

36. f(x, y) = xy²
+ y cos (x - 1) at Po(1, 2),
y2 ≤ 0.1
R: x 1 ≤ 0.1,
-
S
Transcribed Image Text:36. f(x, y) = xy² + y cos (x - 1) at Po(1, 2), y2 ≤ 0.1 R: x 1 ≤ 0.1, - S
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