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    Independence and relations
    Real Analysis
    Jacobians (XXVII)

    Jacobian of Functions of Functions

    Compute the Jacobian del(u,v)/del(r, theta) where

    u = 2xy, v = x^2 - y^2, x = r cos theta, y = r sin theta

    The fully formatted problem is in the attached file.

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    https://brainmass.com/math/real-analysis/real-analysis-jacobian-functions-functions-54010

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    Here u,v are functions of x,y and again x,y are functions of r, theta.

    The main solution of the Posting is in the attached file.

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    Real Analysis
    Jacobians (XXVII)

    By:- Thokchom Sarojkumar Sinha

    Compute the Jacobian where

    Solution:- ...

    Solution Summary

    Jacobian of Functions of Functions are investigated. The solution is detailed and well presented.

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