(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let D be the image of R = [1; 3] x [1; 4]. under the map

T(u; v) = (u^2/v , v^2/u)

(a) Compute the Jacobian of T.

(b) Compute the area of D.

3. The attempt at a solution

I'm pretty sure I found the Jacobian (I got -2v/u + 2u/v), but I am confused on the next part. How exactly do I find the ranges of u and v since I am not given functions for y and x. Or can I solve the u^2/v and v^2/u for the values in the ranges of x and y to find the ranges for u and v. Thanks for the help.

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# Homework Help: Jacobian Question

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