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Use differentials to calculate the maximum error

Bullheaded Becky will not budge from her precarious perch on the
function
f x y z x y y z ( , , ) ln ln = +
at the point
(2,1,1)
until someone
tells her the gradient there. You are the one. Go for it!
________________________ (8) 11. The dimensions of a closed rectangular box are measured as 20 in, 30
in, and 50 in., with maximum error of 0.2 in. in each measurement..
Use differentials to calculate the maximum error in calculating the
surface area of the box.

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