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    Evaluation and calculation of delta z and a total differential.

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    (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

    © BrainMass Inc. brainmass.com March 4, 2021, 5:44 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/evaluation-calculation-delta-total-differential-8432

    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.

    $2.49

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