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10. \( (10 \mathrm{pts}) \) Use the change of variable \( u=x y, v=x y^{2} \) to compute \( \iint_ ...
10. \( (10 \mathrm{pts}) \) Use the change of variable \( u=x y, v=x y^{2} \) to compute \( \iint_{R} x y^{2} d A \) where \( R \) is the region bounded by \( x y=1, x y=2, x y^{2}=1, x y^{2}=2 \). Sketch the region for full credit.