Evaluation and calculation of delta z and a total differential.
(a) evaluate f(1,2) and f(1.05,2.1) and calculate delta z.
(b) use total differential dz to approximate delta z
using equation f(x,y) = xe^y
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(a)
f(1,2) = x*e^y
e = 2.7182818 approximately
so f(1,2) = 1*2.718*2.718=7.389
f(1.05,2.1)= 1.05*(2.7182818)^2.1 = 8.574
delta z is a small change in f produced by small
changes in x and ...
Solution Summary
A differential is calculated. The expert evaluates the delta z and total differentials. The equation f(x,y) = xe^y is used.
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