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    Quadratic approximation

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    Can someone show me how to obtain the quadratic approximation of

    f(x1,x2) = x1^(3/4) * x2^(1/4)

    when (x1,x2) is close to (1,1)?

    © BrainMass Inc. brainmass.com March 4, 2021, 8:06 pm ad1c9bdddf
    https://brainmass.com/math/algebra/quadratic-taylor-approximation-144540

    Solution Preview

    Please see the attached file.

    For a function that depends on two variables, x and y, the Taylor series to second order about the point (a, b) is:

    Here, f(x, y) = x3/4y1/4, ...

    Solution Summary

    This provides an example of how to obtain a quadratic approximation. Quadratic Taylor approximation is examined.

    $2.49

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