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
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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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65bdf3ed-60ae-4fc8-8be4-7300532c3984%2F490023a4-6c13-43a0-8bec-cbe25983352b%2F3ufjb1d_processed.png&w=3840&q=75)
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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