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## Homework Statement

Using [tex]du=.01[/tex], [tex]dv=.01[/tex] find the aroximate area under the transformation of the square bounded by the lines [tex]u=3[/tex], [tex]u=3.01[/tex], [tex]v=5[/tex], [tex]v=5.01[/tex].

## Homework Equations

[tex]T(u,v)=<au+bv, cu+dv>[/tex]

where [tex]a[/tex], [tex]b[/tex], [tex]c[/tex], and [tex]d[/tex] make a square matrix.

## The Attempt at a Solution

I am not sure how to approach this problem, as usually there is a function (of the form of the first eqn under relevent equations). I tried finageling, substituting etc.. but could not figure out how to do this. This is for a course in multivariable calculus. any thoughts?