Change of variables | MIT 18.02SC Multivariable Calculus, Fall 2010
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@MotoPayton haha... thank you. I was confused too.
tmdwls930 2 months ago
for those looking for the answer for verification, it's 0.01
mtponte 5 months ago
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
MotoPayton 7 months ago
@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
heshamsafi 8 months ago