Recent content by oferon123

I tried to play with u=xy , v=\frac{y}{x} a little and that's what i got. If I'm wrong then where is the negative region in xy is transformed to in uv region? The way I drew it - one goes to the upper square at uv, and the other goes to lower square.. Is it not?

Oh your'e right, thanks a lot! But now I have this new question I asked.. If this transformation is not injective, how come it works? for example: for x=-1, y=-1 and x=1 y=1 we get the same v=1 Thanks again!

Yes, I do understand that. However I don't understand how your'e supposed to see that unless you draw everything. More important - even if I do draw it, I don't understand why I get stuck with the method and can't integrate over -15 < v < -5 I obviously do something wrong if I can't, the...

Homework Statement Find surface inside four boundary curves: xy = 4 , xy=8 , y=5x , y=15x using the transformation: u=xy , v=\frac{y}{x} Homework Equations I'm getting the new bounds to be: 4 < u < 8 , -15 < v < -5 OR 5 < v < 15 Jacobian is \frac{1}{2v}The Attempt at a...