Question

Transformations: \(\int\int_R (x^2-xy+y^2)dA\) where \(R\) is the region bound by the ellipse \(x^2-xy+y^2=2~,~\)\(x=\sqrt{2}u-\sqrt{\frac{2}{3}}v~,~ y=\sqrt{2}u+\sqrt{\frac{2}{3}}v\)

Answer 1

jacobians

Answer 2

no.

Answer 3

I am not used to this type of notation due to the change of textbooks. sorry

Answer 4

Find the Jacobian first?\[\ \left|\frac{\partial(x,y)}{\partial(u,v)}\right|\ \]