3. Find the linearization L(r, y, z) of the function f(x, y, z) = y² sin(2rz) at Po = (7,2, 4). Then find an upper bound for the magnitude of the error E in the approximation f(x, Y, z) z L(x, y, z) over the region R. R: |r – a|< 0.2, |y– 2| < 0.3, |z – |<0.1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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3. Find the linearization L(x, y, z) of the function f(x, y, z) = y² sin(2xz) at Po = (7,2, 4). Then find
an upper bound for the magnitude of the error E in the approximation f(x, y, z) z L(x, y, z) over the
region R.
R: |z-피<0.2, ly-2| < 0.3, |2-
< 0.1
Transcribed Image Text:3. Find the linearization L(x, y, z) of the function f(x, y, z) = y² sin(2xz) at Po = (7,2, 4). Then find an upper bound for the magnitude of the error E in the approximation f(x, y, z) z L(x, y, z) over the region R. R: |z-피<0.2, ly-2| < 0.3, |2- < 0.1
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