Applying a change-of-variable method.

[HardlyPuzzled]

Hi everyone, I am stuck. I feel I am close but the x variable in my Jacobian is throwing me off. I'm thinking I may have made the wrong transformation? Any help would be greatly appreciated. Thanks.

My work is shown in the attached photo by the way.

 

[tkhunny]

What is accomplished if your Jacobian ends up in terms of x and y?

 

[tkhunny]

Let's keep it to one problem per thread.

Let's review the formulation for changing from Cartesian to Polar.

[math]x = r\cdot \cos(\theta)[/math][math]y = r\cdot \sin(\theta)[/math]
[math]J = \begin{vmatrix}\\ \cos( \theta)&-r\cdot \sin(\theta)\\ \sin(\theta)&r\cdot \cos(\theta)\end{vmatrix} = r [/math]
No x or y in there when we're done.