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the edge of a cube was found to be 40cm w a possible error of .2cm. use differentials to estimate a. the max possible error regarding the cube’s volume b. the relative error in the volume of the cube c. the percentage error in the volume of the cube

the edge of a cube was found to be 40cm w a possible error of .2cm. use differentials to estimate a. the max possible error regarding the cube’s volume b. the relative error in the volume of the cube c. the percentage error in the volume of the cube

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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the edge of a cube was found to be 40cm w a possible error of .2cm. use differentials to estimate a. the max possible error regarding the cube’s volume b. the relative error in the volume of the cube c. the percentage error in the volume of the cube
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Step 1: Introduction of the given problem

The width of each side of the cube is 40 space c m

The error is 0.2 space cm

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