Estimate the possible propagated error in the calculated volume

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 7E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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Question
The sides of a cube box without lid are measured to be 4 cm, with a possible error
of 0.2cm
If A is the surface area, and s is the side length. Interpret the differential
dA in terms of ds first.
Your answer
Estimate the possible propagated error in the calculated surface area. *
Your answer
What's the related error? *
Your answer
If V is the volume, and s is the side length. Interpret the differential dV in
terms of ds first.
Your answer
Estimate the possible propagated error in the calculated volume *
Transcribed Image Text:The sides of a cube box without lid are measured to be 4 cm, with a possible error of 0.2cm If A is the surface area, and s is the side length. Interpret the differential dA in terms of ds first. Your answer Estimate the possible propagated error in the calculated surface area. * Your answer What's the related error? * Your answer If V is the volume, and s is the side length. Interpret the differential dV in terms of ds first. Your answer Estimate the possible propagated error in the calculated volume *
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