To estimate the maximum error in measurement resulting from the tolerance of error in the independent variable using differentials.
Answer to Problem 37E
The maximum error in measurement resulting from the tolerance of error in the independent variable is
Explanation of Solution
Given information:
The area of a circle with radius
Calculation:
The area of circle of radius r is
With
Therefore,
The maximum error in measurement resulting from the tolerance of error in the independent variable is
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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