# 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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#### Solution Preview

(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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