Example: Find equations for a transformation T (Math 110C Calculus 3 section 15.9)

A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane on to R, where the sides of S are parallel to the u- and v-axes.

[@atv7916]

Thank you so much!!! It's such a simple problem but I was losing my mind over finding u and v. You explained it very clearly in a way I haven't seen in any other videos.

[@reneesmathclassroom-calcul6577]

You're very welcome!

[@kel3864]

Thank you so much!

[@reneesmathclassroom-calcul6577]

You're welcome!

[@PatrickONeill-nn4bk]

bro thank you so much this was making me lose my mind.

[@reneesmathclassroom-calcul6577]

Glad I could help

[@Loots1]

you just randomly picked u = y-2x? why not v?

[@reneesmathclassroom-calcul6577]

You can pick v=y-2x.

[@reneesmathclassroom-calcul6577]

and then u=y+x.