Question 3 Jacobian Method Problem) Consider the following problem: f(X)- + 3z +5z12 91(X)- 123 +2r+ - 11 0 92 (X)- 2 + 2z1za + 2 - 14 - 0 Given the feasible point X° = (1,2,3), we wish to study the variation in f(= 0ef) in the feasible neighborhood of X°. Let Y (21, 3) and Z = 2. Suppose that we need to estimate def in a feasible neighborhood of the feasible point X, = (1,2, 3) given a small change dzg = 0.001 in the %3D independent variable z2? Comment does the effect of this linear approximation has a negligible impact with such a low change in the value of the independent variable?
Question 3 Jacobian Method Problem) Consider the following problem: f(X)- + 3z +5z12 91(X)- 123 +2r+ - 11 0 92 (X)- 2 + 2z1za + 2 - 14 - 0 Given the feasible point X° = (1,2,3), we wish to study the variation in f(= 0ef) in the feasible neighborhood of X°. Let Y (21, 3) and Z = 2. Suppose that we need to estimate def in a feasible neighborhood of the feasible point X, = (1,2, 3) given a small change dzg = 0.001 in the %3D independent variable z2? Comment does the effect of this linear approximation has a negligible impact with such a low change in the value of the independent variable?
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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Transcribed Image Text:Question 3
(Jacobian Method Problem)
Consider the following problem:
f(X)= 2 + 3r + 5z123
91(X)= 123 +2r2 + 2 - 11 = 0
92 (X)= + 21T2 + - 14 - 0
Given the feasible point X° = (1,2,3), we wish to study the variation in f(= 8.f) in the feasible
neighborhood of X°. Let Y = (21, 23) and Z
feasible neighborhood of the feasible point X, = (1,2, 3) given a small change dz2 = 0.001 in the
= 22. Suppose that we need to estimate def in a
%3D
independent variable za? Comment does the effect of this linear approximation has a negligible impact
with such a low change in the value of the independent variable?
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