Question: x=rcos(theta),y=r/2*sin(theta). The two function form a ellipse.As we know, the determinant of Jacobian matrix is r. Try to get the surface area when outer boundary

x=rcos(theta),y=r/2*sin(theta).

The two function form a ellipse.As we know, the determinant of Jacobian matrix is r.

Try to get the surface area when outer boundary at r=R.

Please use surface integration in r and theta to derive. As we know, the determinant of Jacobian matrix is r.

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