Find the linearization L(x, y, z) of the function f(x, y, z) at the point. Then find an upper bound function for the magnitude |E| of the error E in the approximation f(x, y, z) × L(x, y, z) over the given rectangle R. Take f(x, y) = xy + yz – 4xz and use the point (1, 1, 2). Let R be given by |x – 1| < 0.04, \y – 1| < 0.01, and |z – 2| < 0.02. - - The linearization function is L(x, y, z) = The error is bounded as E < Use abs(x) to write |x|.

Find the linearization L(x, y, z) of the function f(x, y, z) at the point. Then find an upper bound function for the magnitude |E| of the error E in the approximation f(x, y, z) × L(x, y, z) over the given rectangle R. Take f(x, y) = xy + yz – 4xz and use the point (1, 1, 2). Let R be given by |x – 1| < 0.04, \y – 1| < 0.01, and |z – 2| < 0.02. - - The linearization function is L(x, y, z) = The error is bounded as E < Use abs(x) to write |x|.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 60E

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