Find the linearization L(x,y) of the function f(x,y) at Po. 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. f(x,y)= ex cos y at Po(0,0), R: x≤0.1, y ≤0.1 (Use ex ≤ 1.11 and cos y ≤ 1 in estimating E.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the linearization L(x,y) of the function f(x,y) at Po. 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.
f(x,y) = ex cos y at Po(0,0),
R: x ≤0.1, y ≤0.1
(Use ex ≤ 1.11 and cos y ≤ 1 in estimating E.)
Find the linearization L(x,y) of the function f(x,y) at Po.
L(x,y) = 1 + x
Find an upper bound for the magnitude of the error in the approximation.
|E| ≤ (Simplify your answer. Type an integer or a decimal.)
Transcribed Image Text:Find the linearization L(x,y) of the function f(x,y) at Po. 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. f(x,y) = ex cos y at Po(0,0), R: x ≤0.1, y ≤0.1 (Use ex ≤ 1.11 and cos y ≤ 1 in estimating E.) Find the linearization L(x,y) of the function f(x,y) at Po. L(x,y) = 1 + x Find an upper bound for the magnitude of the error in the approximation. |E| ≤ (Simplify your answer. Type an integer or a decimal.)
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