Find the linearization L(r, y, z) of the function f(r, y, 2) = y² sin(2r2) at Po = (r, 2, 4). Then find an upper bound for the magnitude of the error E in the approximation f (r, y, z) z L(r, y, z:) over the region R. R: |1 - #|S0.2, ly – 2| < 0.3, |2 –<0.1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Find the linearization L(x, y, z) of the function f(x, y, 2) = y? sin(2xz) at Po = (T , 2, 4). Then find
an upper bound for the magnitude of the error E in the approximation f(x, y, z) = L(x, y, z) over the
region R.
R: Ir-끼< 0.2, ly-2| < 0.3, |z-S01
Transcribed Image Text:3. Find the linearization L(x, y, z) of the function f(x, y, 2) = y? sin(2xz) at Po = (T , 2, 4). Then find an upper bound for the magnitude of the error E in the approximation f(x, y, z) = L(x, y, z) over the region R. R: Ir-끼< 0.2, ly-2| < 0.3, |z-S01
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