Concept explainers
To write a differential formula that estimates the change in volume of a cube and to use it to estimate the change in volume.
Answer to Problem 33E
The differential equation that estimates the change in volume of a cube is
The change in volume of the cube is
Explanation of Solution
Given information:
The geometrical figure is cube,
Edge length of cube changes from 10 cm to 10.05 cm.
Calculation :
Since
Therefore,
The change in volume is
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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