To estimate the maximum error in measurement resulting from the tolerance of error in the independent variable using differentials.
Answer to Problem 38E
The maximum error in measurement resulting from the tolerance of error in the independent variable is
Explanation of Solution
Given information:
The volume of a sphere with radius
Calculation:
The volume of sphere 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
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