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7. Find the linearization L(x, y, z) of f(x, y, z) at the point Po. Find an upper bound for the error incurred in replacing f by L on the rectangular region R. a) f(x, y, z) = x² - xy +3 sin z, Po (2, 1,0), R: {(x, y, z): x-2 <0.01, ly-1 ≤0.02, z < 0.01). b) f(x, y) = ex cos(y), Po(0, 0), R: {(x, y, z): x ≤0.1, lyl ≤ 0.1}.

7. Find the linearization L(x, y, z) of f(x, y, z) at the point Po. Find an upper bound for the error incurred in replacing f by L on the rectangular region R. a) f(x, y, z) = x² - xy +3 sin z, Po (2, 1,0), R: {(x, y, z): x-2 <0.01, ly-1 ≤0.02, z < 0.01). b) f(x, y) = ex cos(y), Po(0, 0), R: {(x, y, z): x ≤0.1, lyl ≤ 0.1}.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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ܩܘ 3:12 . . 89% 7. Find the linearization L(x, y, z) of f(x, y, z) at the point Po. Find an upper bound for the error incurred in replacing f by L on the rectangular region R. a) f(x, y, z) = x² − xy + 3 sin z, Po (2, 1, 0), R : {(x, y, z) : x − 2| ≤ 0.01, y − 1| ≤ 0.02, |z| ≤ 0.01}. b) f(x, y) = e* cos(y), Po(0, 0), R : {(x, y, z) : |x| ≤ 0.1, |y| ≤ 0.1}. |||
Transcribed Image Text:ܩܘ 3:12 . . 89% 7. Find the linearization L(x, y, z) of f(x, y, z) at the point Po. Find an upper bound for the error incurred in replacing f by L on the rectangular region R. a) f(x, y, z) = x² − xy + 3 sin z, Po (2, 1, 0), R : {(x, y, z) : x − 2| ≤ 0.01, y − 1| ≤ 0.02, |z| ≤ 0.01}. b) f(x, y) = e* cos(y), Po(0, 0), R : {(x, y, z) : |x| ≤ 0.1, |y| ≤ 0.1}. |||
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