[Step-by-Step] Let R be the elliptical region in the first quadrant bounded by (x^2)/(3^2)+(y^2)/(2^2)=1. Use the change of variables, x=3u, y=2v, to evaluate


Question: Let \[R\] be the elliptical region in the first quadrant bounded by \[\frac{{{x}^{2}}}{{{3}^{2}}}+\frac{{{y}^{2}}}{{{2}^{2}}}=1\] . Use the change of variables, \[x=3u\] , \[y=2v\] , to evaluate the area of \[R\] .

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