Using differentials, approximate the change in length of the space diagonal of a parallelepiped of length, width, and height given to be 2 units, 3 units, and 5 units, respectively, when the length increased by 0.1 unit and the width decreased by 0.2 unit, while keeping the height constant

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using differentials, approximate the change in length of the space diagonal of a parallelepiped of length,
width, and height given to be 2 units, 3 units, and 5 units, respectively, when the length increased by 0.1
unit and the width decreased by 0.2 unit, while keeping the height constant
Transcribed Image Text:Using differentials, approximate the change in length of the space diagonal of a parallelepiped of length, width, and height given to be 2 units, 3 units, and 5 units, respectively, when the length increased by 0.1 unit and the width decreased by 0.2 unit, while keeping the height constant
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