Solution Found!
Approximate function change Use differentials to
Chapter 10, Problem 28E(choose chapter or problem)
Approximate function change Use differentials to approximate the change in z for the given changes in the independent variables.
\(z=-x^{2}+3 y^{2}+2\) when (x, y) changes from (-1, 2) to (-1.05, 1.9)
Questions & Answers
QUESTION:
Approximate function change Use differentials to approximate the change in z for the given changes in the independent variables.
\(z=-x^{2}+3 y^{2}+2\) when (x, y) changes from (-1, 2) to (-1.05, 1.9)
ANSWER:Solution 28EStep 1 of 3:In this problem we need to use differentials to approximate the change in z for the given changes in the independent variables. Let be differentiable at the point . The change in as the independent variables change from to is denoted and is approximated by the differential :