Solution: Use the transformation u=x y, v=x/y to evaluate ∫_R(x/y √x y) d x d y, where R is the region bounded by the hyperbolas x y=1, x y=9,
Question: Use the transformation \(u=x y, v=\frac{x}{y}\) to evaluate \(\iint_{R}\left(\frac{x}{y} \sqrt{x y}\right) d x d y\), where \(R\) is the region bounded by the hyperbolas \(x y=1, x y=9\), and the lines \(y=x\), and \(y=4 x\).
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