37. f(x, y) = e cos y at Po(0, 0), R: x ≤0.1, |y| ≤ 0.1 (Use e 1.11 and cos y ≤ 1 in estimating E.)

Advanced Engineering Mathematics
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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.

37. f(x, y) = e cos y at Po(0, 0),
R: x ≤0.1, y ≤ 0.1
(Use e≤ 1.11 and |cos y
< 1 in estimating E.)
Transcribed Image Text:37. f(x, y) = e cos y at Po(0, 0), R: x ≤0.1, y ≤ 0.1 (Use e≤ 1.11 and |cos y < 1 in estimating E.)
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