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Solved: Approximate function change Use differentials to
Chapter 10, Problem 30E(choose chapter or problem)
QUESTION:
Approximate function change Use differentials to approximate the change in z for the given changes in the independent variables.
z = In (1 + x + y) when (x, y) changes from (0,0) to (-0.1, 0.03)
Questions & Answers
QUESTION:
Approximate function change Use differentials to approximate the change in z for the given changes in the independent variables.
z = In (1 + x + y) when (x, y) changes from (0,0) to (-0.1, 0.03)
ANSWER:Solution 30E
Step 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 :