Change of variables | MIT 18.02SC Multivariable Calculus, Fall 2010

[mtponte]

for those looking for the answer for verification, it's 0.01

[MotoPayton]

I was confused at first because her Jacobian was 4 and not 1/4.

I then realized that she expressed the variables as u in terms of x before calculating the determinant. So 4dxdy=dudv, and dxdy=1/4dudv Just another way of doing the problem.

cool thanks MIT

[tmdwls930]

@MotoPayton haha... thank you. I was confused too.

[heshamsafi]

@lesprit1

BCZ Jdxdy=dudv J=determinant=4

or you can look at it this way : the area of the bounded region in X-Y domain is four times the area bounded in the U-V domain