Asked by jhon
the dimensions of a closed rectangular box are measured as 30 in, 40 in.. and 60 in.. with a maximum error of 0.2 in. in each measurement.
use differentials to estimate the maximum error in calculating the volume of the box
use differentials to estimate the maximum error in calculating the volume of the box
Answers
Answered by
Steve
v = xyz
dv = yz dx + xz dy + xy dz
= 2400(.2) + 1800(.2) + 1200(.2)
= 5400(.2)
= 1080 in^3
dv = yz dx + xz dy + xy dz
= 2400(.2) + 1800(.2) + 1200(.2)
= 5400(.2)
= 1080 in^3
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