Q.5 Linearize the non-linear system z = x² + 4xy + 6y² in the region defined as 8 ≤ x ≤ 10, 2 ≤ y ≤4. Find the error if the linearized equation is used to calculate value of z when x = 8 and y = 3.

Given non linear equation is z = x2 +4xy +6y2 Region :- 8≤x≤10, 2≤y≤4.

Answered: Q.5 Linearize the non-linear system z =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q.5 Linearize the non-linear system z = x² + 4xy + 6y² in the region defined as 8 ≤ x ≤ 10, 2 ≤ y ≤ 4. Find the error if the linearized equation is used to calculate value of z when x = 8 and y = 3.