v = xyz
dv = yz dx + xz dy + xy dz
= 2400(.2) + 1800(.2) + 1200(.2)
= 5400(.2)
= 1080 in^3
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
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