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24 Nov 2021
Problem 27
Page 246
Section 3.9: Linear Approximations and Differentials
Chapter 3: Differentiation Rules
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24 Nov 2021
Given information
The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm.
Usage of differentials for error estimates is recommended.
Step-by-step explanation
Step 1.
The volume and surface area of a cube with the edge is given as
From (1) and (2) we get