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    Analysis/Total differentials

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    Evaluate f(1,2) and f(1.05, 2.1) for the function
    Æ'(x,y)=x/y.

    a) calculate Δz

    b) use the total differential dz to approximate Δz

    © BrainMass Inc. brainmass.com May 24, 2023, 1:03 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/analysis-total-differentials-10495

    Solution Preview

    Solution. Let z=f(x,y)=x/y, then x0=1,y0=2,deta(x)=0.05,deta(y)=0.1

    a) ...

    Solution Summary

    This calculates Δz of a given function and then uses the total differential dz to approximate Δz.

    $2.49

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